Metrics for Main:z from

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze264.0ms (1.2%)

Memory

-0.5MiB live, 296.1MiB allocated; 61ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	5
8.3%	6.2%	68.6%	0.2%	0%	25%	0%	6
11.1%	6.2%	49.9%	0.2%	0%	43.7%	0%	7
14.8%	6.2%	35.9%	0.2%	0%	57.7%	0%	8
19.8%	6.2%	25.3%	0.2%	0%	68.2%	0%	9
23.7%	6.2%	20.1%	0.2%	0%	73.5%	0%	10
28.4%	6.2%	15.7%	0.2%	0%	77.9%	0%	11
34.1%	6.2%	12%	0.2%	0%	81.5%	0%	12

Compiler

Compiled 33 to 26 computations (21.2% saved)

sample9.7s (42.4%)

Memory

191.4MiB live, 10 744.5MiB allocated; 2.2s collecting garbage

Samples

4.3s	7 671×	1	valid
3.2s	15 936×	0	invalid
100.0ms	585×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.4s

ival-sqrt: 2.7s (42.8% of total)

ival-add: 1.5s (24.3% of total)

adjust: 1.2s (18.3% of total)

ival-sub: 883.0ms (13.9% of total)

ival-true: 18.0ms (0.3% of total)

exact: 16.0ms (0.3% of total)

ival-assert: 10.0ms (0.2% of total)

Bogosity

explain685.0ms (3%)

Memory

-19.9MiB live, 833.1MiB allocated; 105ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
139	-	-	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
132	-	-	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
129	-	-	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
129	-	-	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`(+.f64 y #s(literal 1 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`t`
0	-	-	`(sqrt.f64 (+.f64 y #s(literal 1 binary64)))`
0	-	-	`(sqrt.f64 z)`
0	-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	-	`(sqrt.f64 (+.f64 z #s(literal 1 binary64)))`
0	-	-	`(sqrt.f64 y)`
0	-	-	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
0	-	-	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
0	-	-	`y`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(sqrt.f64 (+.f64 t #s(literal 1 binary64)))`
0	-	-	`z`
0	-	-	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
0	-	-	`(+.f64 t #s(literal 1 binary64))`
0	-	-	`(+.f64 z #s(literal 1 binary64))`
0	-	-	`(sqrt.f64 t)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`	cancellation	33
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`	cancellation	31
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`	cancellation	28
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`	cancellation	28

Confusion

	Predicted +	Predicted -
+	52	0
-	42	162

Precision

0.5531914893617021

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	52	0	0
-	42	0	162

Precision?

0.5531914893617021

Recall?

1.0

Freqs

test

number	freq
0	162
1	71
2	20
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

316.0ms	490×	1	valid
55.0ms	22×	0	valid

Compiler

Compiled 311 to 76 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 327.0ms

ival-sqrt: 146.0ms (44.6% of total)

ival-add: 72.0ms (22% of total)

adjust: 57.0ms (17.4% of total)

ival-sub: 51.0ms (15.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess210.0ms (0.9%)

Memory

19.1MiB live, 250.3MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	454
1	224	454
2	796	454
3	3169	454
4	3376	454
5	3471	454
6	4159	454
0	24	31
0	43	31
1	64	31
2	141	31
3	488	31
4	1536	31
5	4129	31
6	5172	31
0	8289	31

Stop Event

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

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

(-.f64 (-.f64 (-.f64 (sqrt.f64 (-.f64 t #s(literal -1 binary64))) (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))))

Symmetry

(sort x y z t)

Compiler

Compiled 31 to 24 computations (22.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.8%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Status

Accuracy

Program

▶

91.8%

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify141.0ms (0.6%)

Memory

13.7MiB live, 162.7MiB allocated; 28ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff	0	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff	0	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff	0	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	138
0	43	138
1	64	138
2	141	138
3	488	138
4	1536	138
5	4129	138
6	5172	138
0	8289	138

Stop Event

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

Calls

Call 1

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

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

localize199.0ms (0.9%)

Memory

-30.8MiB live, 110.2MiB allocated; 14ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.798337694239292	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	19.232418108676796	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.54048966962915	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Samples

152.0ms	245×	1	valid
2.0ms	11×	0	valid

Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

adjust: 38.0ms (34.6% of total)

ival-add: 37.0ms (33.7% of total)

ival-sqrt: 26.0ms (23.7% of total)

ival-sub: 9.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.1%)

Memory

34.3MiB live, 34.3MiB allocated; 0ms collecting garbage

Counts

7 → 147

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
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#s(approx (- (sqrt (+ z 1)) (sqrt z)) #s(hole binary64 (* 1/2 (sqrt (/ 1 z)))))
#s(approx (- (sqrt (+ z 1)) (sqrt z)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)))
#s(approx (- (sqrt (+ z 1)) (sqrt z)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)))
#s(approx (- (sqrt (+ z 1)) (sqrt z)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y)))))
#s(approx (- (sqrt (+ z 1)) (sqrt z)) #s(hole binary64 (* -1/2 (sqrt (/ 1 z)))))
#s(approx (- (sqrt (+ z 1)) (sqrt z)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))
#s(approx (- (sqrt (+ z 1)) (sqrt z)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))
#s(approx (- (sqrt (+ z 1)) (sqrt z)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (- 1 (sqrt t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (- (+ 1 (* 1/2 t)) (sqrt t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* 1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))))

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)))
2.0ms	z	@	inf	((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)))
2.0ms	y	@	-inf	((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)))
2.0ms	t	@	inf	((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)))
2.0ms	y	@	inf	((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)))

simplify198.0ms (0.9%)

Memory

-1.3MiB live, 282.7MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	714	6944
1	1964	6674
2	7365	6674
0	8357	6480

Stop Event

1×	iter limit
1×	node limit

Counts

147 → 147

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (sqrt (+ 1 y)) (sqrt y))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))) (sqrt y))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
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#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)))
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#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))))

Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (sqrt (+ 1 y)) (sqrt y))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
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#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (- 1 (sqrt t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (- (+ 1 (* 1/2 t)) (sqrt t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (fma.f64 #s(literal 1/2 binary64) t (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) t) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* 1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) (neg.f64 t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) (neg.f64 t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) (neg.f64 t)))

rewrite242.0ms (1.1%)

Memory

8.9MiB live, 330.0MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	97
0	43	97
1	201	97
2	2060	97
0	9754	97

Stop Event

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

Counts

7 → 247

Calls

Call 1

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

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

eval91.0ms (0.4%)

Memory: 2.3MiB live, 143.5MiB allocated; 54ms collecting garbage
Compiler: Compiled 29 605 to 1 961 computations (93.4% saved)

prune35.0ms (0.2%)

Memory

10.2MiB live, 55.0MiB allocated; 9ms collecting garbage

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	372	22	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	373	22	395

Accuracy

99.3%

Counts

395 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.7%	(/.f64 (fma.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (fma.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 2 binary64))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64))))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (fma.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 2 binary64)))))
▶	92.7%	(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	91.9%	(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	91.8%	(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	91.9%	(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.5%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	82.5%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (+.f64 (-.f64 z #s(literal -1 binary64)) z) (sqrt.f64 (*.f64 z (-.f64 z #s(literal -1 binary64))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.6%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.0%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
	66.4%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	91.4%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	5.1%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	33.4%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	9.9%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	72.6%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	49.4%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	68.8%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	33.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	33.7%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
▶	33.5%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	42.3%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
	11.3%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))

Compiler

Compiled 2 350 to 1 522 computations (35.2% saved)

simplify154.0ms (0.7%)

Memory

-27.9MiB live, 116.4MiB allocated; 69ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
cost-diff	0	(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff	0	(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff	0	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
cost-diff	0	(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff	0	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
cost-diff	0	(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff	0	(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff	0	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff	0	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
cost-diff	0	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
cost-diff	0	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
cost-diff	0	(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff	4	(-.f64 (-.f64 x #s(literal -1 binary64)) x)
cost-diff	4	(-.f64 (-.f64 y #s(literal -1 binary64)) y)
cost-diff	15	(/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1007
0	149	1027
1	276	1027
2	696	994
3	2360	918
0	8601	918

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x)))
(-.f64 (-.f64 y #s(literal -1 binary64)) y)
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 x)
x
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))
(+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))
(sqrt.f64 y)
(sqrt.f64 (-.f64 y #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 z)
(sqrt.f64 y)
(sqrt.f64 x)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
x
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)

Outputs
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) (-.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))))
(+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))))
(/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))))
(fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))))
(-.f64 (-.f64 y #s(literal -1 binary64)) y)
#s(literal 1 binary64)
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 (-.f64 y #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
#s(literal 1 binary64)
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
#s(literal 1 binary64)
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 z)
(sqrt.f64 y)
(sqrt.f64 x)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
x
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)

localize466.0ms (2%)

Memory

38.4MiB live, 503.8MiB allocated; 49ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	19.232418108676796	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.54048966962915	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	60.36719134274951	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
accuracy	2.798337694239292	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy	40.009660525445824	#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.54048966962915	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	3.0455033424217137	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
accuracy	19.232418108676796	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.54048966962915	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	0.0390625	(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy	0.0546875	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
accuracy	2.6655973953377483	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
accuracy	39.937330908265245	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
accuracy	2.67181443252812	(-.f64 (-.f64 x #s(literal -1 binary64)) x)
accuracy	18.190993289964474	(-.f64 (-.f64 y #s(literal -1 binary64)) y)
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.54048966962915	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Samples

334.0ms	245×	1	valid
5.0ms	11×	0	valid

Compiler

Compiled 867 to 69 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

adjust: 101.0ms (40.4% of total)

ival-sqrt: 49.0ms (19.6% of total)

ival-add: 43.0ms (17.2% of total)

ival-sub: 26.0ms (10.4% of total)

ival-mult: 18.0ms (7.2% of total)

ival-div: 12.0ms (4.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series84.0ms (0.4%)

Memory

14.4MiB live, 104.0MiB allocated; 20ms collecting garbage

Counts

25 → 343

Calls

Call 1

Inputs
(/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (-.f64 y #s(literal -1 binary64)) y)
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))

Outputs
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (* (sqrt x) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 y)) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* 1/8 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ 1 (sqrt x)))))))) (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y))))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (* (sqrt x) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 y)) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* x (- (* x (- (* 1/16 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* 1/8 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ 1 (sqrt x)))) (* 1/16 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))))))) (+ (* -1/8 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* 1/8 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ 1 (sqrt x))))))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (* (sqrt x) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 y)) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))))))
#s(approx (- (- x -1) x) #s(hole binary64 1))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* (sqrt x) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 y)) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))))) (+ (sqrt t) (sqrt z)))))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (- (+ (* -1/2 (* (sqrt x) (/ 1 (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* -1/2 (* (sqrt y) (/ 1 (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* -1/2 (* (sqrt (+ 1 y)) (/ 1 (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y))))))))) (* 1/2 (/ 1 (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (* (sqrt x) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 y)) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (+ (sqrt t) (sqrt z)))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))))
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#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (sqrt (+ 1 y)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (sqrt z))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))
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Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (- y -1) y) (- (- x -1) x) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ 1 x)) (sqrt x)))
10.0ms	y	@	0	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (- y -1) y) (- (- x -1) x) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ 1 x)) (sqrt x)))
10.0ms	y	@	-inf	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (- y -1) y) (- (- x -1) x) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ 1 x)) (sqrt x)))
8.0ms	x	@	0	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (- y -1) y) (- (- x -1) x) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ 1 x)) (sqrt x)))
7.0ms	x	@	-inf	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (- y -1) y) (- (- x -1) x) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ 1 x)) (sqrt x)))

simplify336.0ms (1.5%)

Memory

-42.2MiB live, 254.3MiB allocated; 158ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1656	23017
1	5034	22025
0	8372	21357

Stop Event

1×	iter limit
1×	node limit

Counts

343 → 343

Calls

Call 1

Inputs
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))
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#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))))))))) (sqrt z))))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))))) (sqrt z))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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Outputs
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#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))))
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#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))))
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#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (sqrt (+ 1 y)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
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#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
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#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))))
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#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
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#s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* -1/8 x))))) (sqrt x))))
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#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))
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#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))
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#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) y #s(literal -1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (sqrt (+ 1 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) y #s(literal -1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
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#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))))
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#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))))
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#s(approx (+ (sqrt z) (sqrt y)) #s(hole binary64 (+ (sqrt y) (sqrt z))))
#s(approx (+ (sqrt z) (sqrt y)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) #s(hole binary64 (- 1 (sqrt y))))
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#s(approx (- (sqrt (+ y 1)) (sqrt y)) #s(hole binary64 (- (+ 1 (* 1/2 y)) (sqrt y))))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))
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#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (sqrt.f64 y)))
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#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (* 1/8 (sqrt (/ 1 (pow y 3)))))))
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#s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) (neg.f64 t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) #s(literal -5/128 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) (neg.f64 t)))

rewrite329.0ms (1.4%)

Memory

0.8MiB live, 247.7MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	604
0	149	604
1	750	542
2	7897	542
0	8142	538

Stop Event

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

Counts

25 → 452

Calls

Call 1

Inputs
(/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (-.f64 y #s(literal -1 binary64)) y)
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))

Outputs
(.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (-.f64 (-.f64 y #s(literal -1 binary64)) y) (.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 x (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (-.f64 (-.f64 y #s(literal -1 binary64)) y) (.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(/.f64 (/.f64 (fma.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (-.f64 (-.f64 y #s(literal -1 binary64)) y) (*.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))))) y) (+.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) (sqrt.f64 y)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))) (-.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) (+.f64 y (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) (sqrt.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 (.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))) (.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (-.f64 (-.f64 y #s(literal -1 binary64)) y) (*.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (-.f64 (-.f64 y #s(literal -1 binary64)) y) (.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))))) (neg.f64 (.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))))
(/.f64 (fma.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (-.f64 (-.f64 y #s(literal -1 binary64)) y)) (.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))))) (.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)))))
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eval221.0ms (1%)

Memory: 5.2MiB live, 238.5MiB allocated; 38ms collecting garbage
Compiler: Compiled 73 732 to 4 163 computations (94.4% saved)

prune114.0ms (0.5%)

Memory

15.0MiB live, 106.1MiB allocated; 8ms collecting garbage

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	879	37	916
Fresh	13	4	17
Picked	5	0	5
Done	0	0	0
Total	897	41	938

Accuracy

99.7%

Counts

938 → 41

Alt Table

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Status	Accuracy	Program
	72.0%	(/.f64 (fma.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (fma.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y))) (pow.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y)) #s(literal 2 binary64))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(literal 3 binary64))))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (fma.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y))) (pow.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y)) #s(literal 2 binary64)))))
	93.5%	(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	96.3%	(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	66.4%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	92.1%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.2%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	91.6%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
	4.5%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
	88.2%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
	68.0%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	66.4%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	63.4%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	32.8%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	5.1%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	5.3%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	32.7%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	37.1%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.1%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))) (+.f64 (sqrt.f64 y) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	42.4%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	33.5%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	33.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	32.1%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	32.7%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	8.1%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	10.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	68.8%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	67.5%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
	33.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	33.7%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	32.7%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
	26.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
	33.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	25.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	27.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
▶	2.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	11.3%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
	69.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
	42.3%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
	49.4%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	49.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	61.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))

Compiler

Compiled 5 066 to 3 258 computations (35.7% saved)

simplify172.0ms (0.8%)

Memory

-3.2MiB live, 149.5MiB allocated; 23ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))))
cost-diff	0	(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff	0	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff	4	(-.f64 (-.f64 y #s(literal -1 binary64)) y)
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
cost-diff	0	(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff	0	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff	0	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z))
cost-diff	0	(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
cost-diff	0	(+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff	0	(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff	4	(-.f64 (-.f64 y #s(literal -1 binary64)) y)
cost-diff	15	(/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1044
0	133	1060
1	247	1060
2	629	1027
3	2064	935
4	7832	935
0	8437	931

Stop Event

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

Calls

Call 1

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

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

localize523.0ms (2.3%)

Memory

25.9MiB live, 543.5MiB allocated; 70ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.0455033424217137	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
accuracy	18.190993289964474	(-.f64 (-.f64 y #s(literal -1 binary64)) y)
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.54048966962915	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	3.0455033424217137	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
accuracy	40.244031495361305	#s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.54048966962915	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	22.450102977113335	#s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
accuracy	40.009660525445824	#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.54048966962915	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	0.0390625	(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy	2.6655973953377483	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
accuracy	21.92586010304901	#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z))
accuracy	39.937330908265245	(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
accuracy	0.09832001953688403	(/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
accuracy	18.190993289964474	(-.f64 (-.f64 y #s(literal -1 binary64)) y)
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.54048966962915	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Samples

429.0ms	245×	1	valid
5.0ms	11×	0	valid

Compiler

Compiled 842 to 67 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

adjust: 154.0ms (45.4% of total)

ival-sqrt: 71.0ms (20.9% of total)

ival-add: 48.0ms (14.1% of total)

ival-sub: 42.0ms (12.4% of total)

ival-mult: 12.0ms (3.5% of total)

ival-div: 11.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series95.0ms (0.4%)

Memory

-13.4MiB live, 75.9MiB allocated; 11ms collecting garbage

Counts

23 → 440

Calls

Call 1

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

Outputs
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Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (- y -1) y) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)))
9.0ms	y	@	-inf	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (- y -1) y) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)))
5.0ms	y	@	0	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (- y -1) y) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)))
3.0ms	y	@	inf	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (- y -1) y) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)))
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simplify496.0ms (2.2%)

Memory

-11.7MiB live, 370.3MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2031	35022
1	6132	33617
0	8068	32708

Stop Event

1×	iter limit
1×	node limit

Counts

440 → 440

Calls

Call 1

Inputs
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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Outputs
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#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))))
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#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
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#s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) t))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (sqrt z))))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (.f64 (sqrt.f64 y) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 z)))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (sqrt z))))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t) #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (.f64 (sqrt.f64 y) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (sqrt z))))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t) #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (.f64 (sqrt.f64 y) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t) #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t) #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) #s(literal -5/128 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) t)))

rewrite228.0ms (1%)

Memory

-12.7MiB live, 280.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	693
0	133	693
1	716	651
2	7627	651
0	8062	651

Stop Event

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

Counts

23 → 368

Calls

Call 1

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

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

eval185.0ms (0.8%)

Memory: 35.7MiB live, 274.2MiB allocated; 36ms collecting garbage
Compiler: Compiled 88 139 to 4 141 computations (95.3% saved)

prune116.0ms (0.5%)

Memory

-16.2MiB live, 131.2MiB allocated; 12ms collecting garbage

Pruning

43 alts after pruning (43 fresh and 0 done)

	Pruned	Kept	Total
New	971	14	985
Fresh	7	29	36
Picked	5	0	5
Done	0	0	0
Total	983	43	1 026

Accuracy

100.0%

Counts

1 026 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.6%	(fma.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (fma.f64 (sqrt.f64 y) y (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (-.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) y))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t))))
	72.0%	(/.f64 (fma.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (fma.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y))) (pow.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y)) #s(literal 2 binary64))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(literal 3 binary64))))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (fma.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y))) (pow.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y)) #s(literal 2 binary64)))))
	32.8%	(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
	8.1%	(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
▶	97.4%	(+.f64 (+.f64 (/.f64 (fma.f64 #s(approx (- (- y -1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	66.4%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.9%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.3%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
	92.2%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	91.6%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
	4.5%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
	88.2%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
	68.0%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	66.4%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	63.4%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	32.8%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	5.1%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	5.3%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	32.1%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	32.7%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	37.1%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.1%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))) (+.f64 (sqrt.f64 y) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	42.4%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	33.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	8.1%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	10.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	74.3%	(+.f64 #s(approx (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (.f64 (sqrt.f64 y) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	70.4%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	68.8%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	33.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	32.7%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
	26.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
	33.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	25.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	27.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	3.6%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
▶	7.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
▶	11.3%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
▶	69.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
	42.3%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
	49.4%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	49.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	61.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))

Compiler

Compiled 5 358 to 3 422 computations (36.1% saved)

simplify176.0ms (0.8%)

Memory

-7.1MiB live, 180.5MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff	0	(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff	0	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
cost-diff	4	(-.f64 (-.f64 t #s(literal -1 binary64)) t)
cost-diff	0	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t)))
cost-diff	0	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
cost-diff	0	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
cost-diff	0	(-.f64 y #s(literal -1 binary64))
cost-diff	0	(sqrt.f64 (-.f64 y #s(literal -1 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
cost-diff	0	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z))
cost-diff	0	(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
cost-diff	0	(fma.f64 #s(approx (- (- y -1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
cost-diff	0	(+.f64 (/.f64 (fma.f64 #s(approx (- (- y -1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff	0	(+.f64 (+.f64 (/.f64 (fma.f64 #s(approx (- (- y -1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff	15	(/.f64 (fma.f64 #s(approx (- (- y -1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	987
0	164	983
1	286	983
2	703	950
3	2418	886
4	7198	886
0	8125	886

Stop Event

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

Calls

Call 1

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

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

localize578.0ms (2.5%)

Memory

9.8MiB live, 593.4MiB allocated; 120ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.0455033424217137	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
accuracy	19.232418108676796	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.85022450948456	(-.f64 (-.f64 t #s(literal -1 binary64)) t)
accuracy	0.05078125	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64))
accuracy	3.4705877027675727	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
accuracy	40.30751054667673	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
accuracy	52.095551150663276	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t)))
accuracy	0.0390625	(+.f64 (sqrt.f64 y) (sqrt.f64 x))
accuracy	2.6655973953377483	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
accuracy	16.07753060549952	(+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z))
accuracy	2.6655973953377483	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
accuracy	21.92586010304901	#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z))
accuracy	39.937330908265245	(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))
accuracy	58.84054569666038	#s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))
accuracy	0.02734375	(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	0.09832001953688403	(/.f64 (fma.f64 #s(approx (- (- y -1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
accuracy	43.272652973594155	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	58.54048966962915	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Samples

459.0ms	245×	1	valid
5.0ms	11×	0	valid

Compiler

Compiled 842 to 77 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 371.0ms

adjust: 146.0ms (39.4% of total)

ival-add: 97.0ms (26.2% of total)

ival-sub: 58.0ms (15.6% of total)

ival-sqrt: 53.0ms (14.3% of total)

ival-mult: 10.0ms (2.7% of total)

ival-div: 6.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series124.0ms (0.5%)

Memory

-20.6MiB live, 121.4MiB allocated; 15ms collecting garbage

Counts

28 → 600

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (* (sqrt x) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 y)) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* 1/8 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ 1 (sqrt x)))))))) (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y))))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (* (sqrt x) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 y)) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* x (- (* x (- (* 1/16 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* 1/8 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ 1 (sqrt x)))) (* 1/16 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))))))) (+ (* -1/8 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* 1/8 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ 1 (sqrt x))))))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (* (sqrt x) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 y)) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))))))
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#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow t 3))))))))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* 1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (sqrt z))))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (sqrt z))))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (sqrt z))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))) (* 1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2))))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))))

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	t	@	inf	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (sqrt (- y -1)) (- y -1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (- (- t -1) t) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) (+ (sqrt z) (sqrt y)) (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))
21.0ms	x	@	-inf	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (sqrt (- y -1)) (- y -1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (- (- t -1) t) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) (+ (sqrt z) (sqrt y)) (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))
5.0ms	y	@	-inf	((/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (sqrt (- y -1)) (- y -1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (- (- t -1) t) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) (+ (sqrt z) (sqrt y)) (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))
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simplify329.0ms (1.4%)

Memory

40.9MiB live, 601.5MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2594	42547
1	7874	40942
0	8127	39884

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

Inputs
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#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow t 3))))))))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* 1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (sqrt z))))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (sqrt z))))
#s(approx (+ (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (sqrt z))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))) (* 1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2))))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))))

Outputs
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))
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#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (/ (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (* (pow (+ 1 (sqrt x)) 2) (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (* (sqrt x) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 y)) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))) (/ 1 (* (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ 1 y)))))))))))
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y)) (sqrt.f64 y))))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) x (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (.f64 (sqrt.f64 y) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y)))))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* 1/2 x)))))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+.f64 (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x)))))))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)) (-.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)) (-.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 x))
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(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (sqrt.f64 x))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) #s(literal 1 binary64)))))) y (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) #s(literal 1 binary64))))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))) y (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (.f64 (sqrt.f64 y) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) #s(literal 1 binary64)))) (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 x)))))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* 1/2 y)))))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y)))))))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))))))
#s(approx (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (sqrt (- y -1)) #s(hole binary64 1))
#s(approx (sqrt (- y -1)) #s(literal 1 binary64))
#s(approx (sqrt (- y -1)) #s(hole binary64 (+ 1 (* 1/2 y))))
#s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
#s(approx (sqrt (- y -1)) #s(hole binary64 (+ 1 (* y (+ 1/2 (* -1/8 y))))))
#s(approx (sqrt (- y -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))
#s(approx (sqrt (- y -1)) #s(hole binary64 (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))
#s(approx (sqrt (- y -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))
#s(approx (- y -1) #s(hole binary64 1))
#s(approx (- y -1) #s(literal 1 binary64))
#s(approx (- y -1) #s(hole binary64 (+ 1 y)))
#s(approx (- y -1) (+.f64 #s(literal 1 binary64) y))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
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#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (sqrt t))))
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#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (sqrt t))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t)))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (sqrt t))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t)))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (sqrt t))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
#s(approx (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (* (+ 1 (sqrt y)) (+ (sqrt x) (sqrt (+ 1 x))))))
#s(approx (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) #s(literal 1 binary64))))
#s(approx (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* 1/2 (* y (+ (sqrt x) (sqrt (+ 1 x))))) (* (+ 1 (sqrt y)) (+ (sqrt x) (sqrt (+ 1 x)))))))
#s(approx (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) #s(literal 1 binary64)))))
#s(approx (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* y (+ (* -1/8 (* y (+ (sqrt x) (sqrt (+ 1 x))))) (* 1/2 (+ (sqrt x) (sqrt (+ 1 x)))))) (* (+ 1 (sqrt y)) (+ (sqrt x) (sqrt (+ 1 x)))))))
#s(approx (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1/2 binary64))) y (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) #s(literal 1 binary64)))))
#s(approx (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* y (+ (* 1/2 (+ (sqrt x) (sqrt (+ 1 x)))) (* y (+ (* -1/8 (+ (sqrt x) (sqrt (+ 1 x)))) (* 1/16 (* y (+ (sqrt x) (sqrt (+ 1 x))))))))) (* (+ 1 (sqrt y)) (+ (sqrt x) (sqrt (+ 1 x)))))))
#s(approx (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1/8 binary64))) y (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1/2 binary64))) y (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) #s(literal 1 binary64)))))
#s(approx (+ (sqrt z) (sqrt y)) #s(hole binary64 (+ (sqrt y) (sqrt z))))
#s(approx (+ (sqrt z) (sqrt y)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) #s(hole binary64 (- 1 (sqrt y))))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) #s(hole binary64 (- (+ 1 (* 1/2 y)) (sqrt y))))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) #s(hole binary64 (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (sqrt.f64 y)))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) #s(hole binary64 (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (sqrt.f64 y)))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (sqrt y)))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 y))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* (/ 1 y) (sqrt (+ 1 x))) (* (/ 1 y) (sqrt (+ 1 z))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* (/ 1 y) (sqrt (+ 1 x))) (* (/ 1 y) (sqrt (+ 1 z)))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) y))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* (/ 1 y) (sqrt (+ 1 x))) (* (/ 1 y) (sqrt (+ 1 z))))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (sqrt (- y -1)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (- y -1)) (sqrt.f64 y))
#s(approx (sqrt (- y -1)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3))))))))
#s(approx (sqrt (- y -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y))
#s(approx (sqrt (- y -1)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (- y -1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y))
#s(approx (sqrt (- y -1)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (- y -1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y))
#s(approx (- y -1) #s(hole binary64 y))
#s(approx (- y -1) y)
#s(approx (- y -1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (- y -1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (sqrt y)))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 y))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (* y (- (+ (sqrt (/ 1 y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* (/ 1 y) (sqrt (+ 1 z))))) (* (sqrt t) (/ 1 y))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 t))) y))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (* y (- (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* (/ 1 y) (sqrt (+ 1 z)))))) (* (sqrt t) (/ 1 y))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 t))) y))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (* y (- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* (/ 1 y) (sqrt (+ 1 z))))))) (* (sqrt t) (/ 1 y))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 t))) y))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt x) (sqrt z)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
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#s(approx (+ (sqrt z) (sqrt y)) #s(hole binary64 (sqrt y)))
#s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))
#s(approx (+ (sqrt z) (sqrt y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))))
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#s(approx (+ (sqrt y) (sqrt x)) #s(hole binary64 (sqrt y)))
#s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))
#s(approx (+ (sqrt y) (sqrt x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal 1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal 1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(hole binary64 (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal 1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (sqrt (- y -1)) (+ (sqrt (- x -1)) (- (- (sqrt (- z -1)) (sqrt z)) (+ (sqrt y) (sqrt x))))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal 1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal 1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal 1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (sqrt t))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 t)))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (sqrt t))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 t)))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (sqrt t))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 t)))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (sqrt t))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal 1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) t) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
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#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) #s(hole binary64 (- (+ 2 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) t) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
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#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t)))) (sqrt t))))
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#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t)))))) (sqrt t))))
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#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (sqrt t))))
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#s(approx (- (- t -1) t) #s(hole binary64 1))
#s(approx (- (- t -1) t) #s(literal 1 binary64))
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#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1/2 (sqrt (/ 1 t)))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t)))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) #s(literal -5/128 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) t)))

rewrite219.0ms (1%)

Memory

-8.9MiB live, 268.8MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	692
0	164	692
1	828	686
0	8835	686

Stop Event

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

Counts

28 → 492

Calls

Call 1

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

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

eval228.0ms (1%)

Memory: 24.3MiB live, 363.0MiB allocated; 77ms collecting garbage
Compiler: Compiled 108 206 to 6 019 computations (94.4% saved)

prune167.0ms (0.7%)

Memory

-31.8MiB live, 207.1MiB allocated; 10ms collecting garbage

Pruning

51 alts after pruning (49 fresh and 2 done)

	Pruned	Kept	Total
New	1 201	23	1 224
Fresh	12	26	38
Picked	3	2	5
Done	0	0	0
Total	1 216	51	1 267

Accuracy

100.0%

Counts

1 267 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.6%	(fma.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (fma.f64 (sqrt.f64 y) y (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (-.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) y))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t))))
	32.8%	(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
	8.1%	(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
	97.4%	(+.f64 (+.f64 (/.f64 (fma.f64 #s(approx (- (- y -1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (fma.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 x) (.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	74.3%	(+.f64 (+.f64 (/.f64 (fma.f64 #s(approx (- (- y -1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	66.4%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.9%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.4%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
	92.2%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	88.2%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
	26.6%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
	68.0%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	66.4%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	32.8%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	5.1%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	5.3%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	32.1%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	37.1%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.1%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))) (+.f64 (sqrt.f64 y) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	42.4%	(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	33.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	8.1%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	10.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	70.4%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	68.8%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	47.9%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	65.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
	33.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	7.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
	32.7%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
	25.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	31.3%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
✓	7.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
✓	11.3%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
	11.5%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
	61.5%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
	61.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
	11.5%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
	27.5%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
	68.9%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
	47.9%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
	27.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
	37.4%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
	37.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
	62.9%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
	49.4%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	49.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	45.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
	47.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
	48.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
	1.9%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))

Compiler

Compiled 9 153 to 2 789 computations (69.5% saved)

regimes336.0ms (1.5%)

Memory

12.5MiB live, 245.5MiB allocated; 13ms collecting garbage

Counts

97 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
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(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (/.f64 (fma.f64 #s(approx (- (- y -1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (fma.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 x) (.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(fma.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (fma.f64 (sqrt.f64 y) y (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (-.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) y))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (.f64 (sqrt.f64 y) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (+.f64 (-.f64 z #s(literal -1 binary64)) z) (sqrt.f64 (*.f64 z (-.f64 z #s(literal -1 binary64))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(/.f64 (fma.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (fma.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y))) (pow.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y)) #s(literal 2 binary64))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(literal 3 binary64))))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (fma.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y))) (pow.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 y)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (fma.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 2 binary64))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64))))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (fma.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 2 binary64)))))

Outputs

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

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

Calls

11 calls:

53.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
47.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
45.0ms	z
36.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
28.0ms	y

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
99.6%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
97.4%	1	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
97.4%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.4%	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
99.6%	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
99.6%	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
97.4%	1	`x`
97.4%	1	`y`
99.6%	2	`z`
97.4%	1	`t`

Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes2.2s (9.5%)

Memory

-183.2MiB live, 317.4MiB allocated; 2.3s collecting garbage

Counts

80 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
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(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))) (+.f64 (sqrt.f64 y) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))

Outputs

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

(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))

Calls

11 calls:

1.9s	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
39.0ms	x
36.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
35.0ms	t
20.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))

Results

Accuracy	Segments	Branch
98.3%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
98.3%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
92.9%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
97.3%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.3%	2	`x`
94.6%	2	`t`
98.3%	2	`y`
92.9%	1	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
98.3%	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
98.3%	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
95.1%	2	`z`

Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes140.0ms (0.6%)

Memory

0.9MiB live, 94.9MiB allocated; 3ms collecting garbage

Counts

74 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs

(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

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

Calls

5 calls:

61.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
29.0ms	y
15.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
15.0ms	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
14.0ms	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))

Results

Accuracy	Segments	Branch
98.1%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
98.1%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
98.1%	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
98.1%	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
98.1%	2	`y`

Compiler

Compiled 77 to 70 computations (9.1% saved)

regimes114.0ms (0.5%)

Memory

6.9MiB live, 103.9MiB allocated; 3ms collecting garbage

Counts

66 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
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(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))

Outputs

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

#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))

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

Calls

5 calls:

41.0ms	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
28.0ms	y
13.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
13.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
13.0ms	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))

Results

Accuracy	Segments	Branch
97.5%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
97.5%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
99.2%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
99.2%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
97.5%	2	`y`

Compiler

Compiled 77 to 70 computations (9.1% saved)

regimes172.0ms (0.8%)

Memory

-39.3MiB live, 148.3MiB allocated; 12ms collecting garbage

Counts

64 → 4

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))

Calls

7 calls:

40.0ms	y
35.0ms	x
13.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
13.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
13.0ms	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))

Results

Accuracy	Segments	Branch
95.7%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
95.7%	2	`x`
95.5%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
97.3%	3	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
97.1%	3	`y`
99.2%	4	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
99.2%	4	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes29.0ms (0.1%)

Memory

39.2MiB live, 39.2MiB allocated; 0ms collecting garbage

Counts

61 → 4

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))

Calls

2 calls:

12.0ms

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

12.0ms

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

Results

Accuracy	Segments	Branch
99.1%	4	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
99.1%	4	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes85.0ms (0.4%)

Memory

-24.2MiB live, 66.6MiB allocated; 7ms collecting garbage

Counts

58 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))

Outputs

(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Calls

3 calls:

44.0ms

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

25.0ms

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

12.0ms

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

Results

Accuracy	Segments	Branch
97.3%	3	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
97.3%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
97.3%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 69 to 57 computations (17.4% saved)

regimes52.0ms (0.2%)

Memory

1.2MiB live, 58.9MiB allocated; 2ms collecting garbage

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs

(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

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

(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Calls

3 calls:

26.0ms

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

11.0ms

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

11.0ms

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

Results

Accuracy	Segments	Branch
97.2%	3	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
97.2%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
97.2%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 69 to 57 computations (17.4% saved)

regimes105.0ms (0.5%)

Memory

27.0MiB live, 120.0MiB allocated; 7ms collecting garbage

Counts

53 → 3

Calls

Call 1

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

Outputs

(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

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

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

Calls

6 calls:

38.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
15.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
13.0ms	x
13.0ms	y
11.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Results

Accuracy	Segments	Branch
97.1%	3	`y`
95.4%	2	`x`
95.4%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.0%	3	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
97.0%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
97.0%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 78 to 74 computations (5.1% saved)

regimes33.0ms (0.1%)

Memory

-12.5MiB live, 34.0MiB allocated; 4ms collecting garbage

Counts

51 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
97.1%	3	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes82.0ms (0.4%)

Memory

-1.7MiB live, 136.7MiB allocated; 27ms collecting garbage

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))

Outputs

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

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

(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Calls

7 calls:

19.0ms	y
14.0ms	x
12.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
9.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
8.0ms	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))

Results

Accuracy	Segments	Branch
82.9%	3	`x`
74.3%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
96.6%	3	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
96.7%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
96.7%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
95.8%	3	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
96.7%	3	`y`

Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes75.0ms (0.3%)

Memory

-9.0MiB live, 94.7MiB allocated; 10ms collecting garbage

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs

(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

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

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

Calls

4 calls:

40.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
14.0ms	z
10.0ms	y
8.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))

Results

Accuracy	Segments	Branch
94.5%	3	`z`
96.7%	3	`y`
96.7%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
96.7%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 56 to 51 computations (8.9% saved)

regimes108.0ms (0.5%)

Memory

5.2MiB live, 142.8MiB allocated; 12ms collecting garbage

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt (- y -1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs

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

(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Calls

8 calls:

38.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
20.0ms	t
10.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
9.0ms	y
8.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))

Results

Accuracy	Segments	Branch
93.0%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
74.2%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
92.9%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
80.5%	3	`t`
93.0%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
93.1%	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
93.1%	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
93.0%	2	`y`

Compiler

Compiled 92 to 92 computations (0% saved)

regimes62.0ms (0.3%)

Memory

-6.5MiB live, 137.8MiB allocated; 10ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))

Outputs

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

(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Calls

7 calls:

11.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
9.0ms	z
9.0ms	y
8.0ms	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
8.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))

Results

Accuracy	Segments	Branch
91.3%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
92.9%	3	`z`
91.4%	2	`y`
91.4%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
91.4%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
91.5%	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
91.5%	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes99.0ms (0.4%)

Memory

16.5MiB live, 144.9MiB allocated; 27ms collecting garbage

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (- y -1)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))) (sqrt.f64 t)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))

Outputs

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

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

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

Calls

7 calls:

48.0ms	z
11.0ms	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
9.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
8.0ms	y
7.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Results

Accuracy	Segments	Branch
88.2%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
88.2%	2	`z`
88.2%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
88.2%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
88.2%	2	`y`
88.2%	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
91.6%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes9.0ms (0%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))

Calls

1 calls:

6.0ms

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Results

Accuracy	Segments	Branch
91.6%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes51.0ms (0.2%)

Memory

-8.2MiB live, 32.4MiB allocated; 18ms collecting garbage

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))

Calls

1 calls:

49.0ms

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Results

Accuracy	Segments	Branch
90.6%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes18.0ms (0.1%)

Memory

-8.6MiB live, 32.4MiB allocated; 13ms collecting garbage

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))

Calls

1 calls:

16.0ms

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Results

Accuracy	Segments	Branch
90.5%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes78.0ms (0.3%)

Memory

-2.9MiB live, 108.1MiB allocated; 54ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

35.0ms	z
15.0ms	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
6.0ms	y
5.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
5.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))

Results

Accuracy	Segments	Branch
87.1%	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
70.5%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
87.1%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
87.1%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
87.1%	2	`y`
72.6%	3	`z`
87.1%	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes20.0ms (0.1%)

Memory

-4.1MiB live, 41.1MiB allocated; 3ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

7.0ms	y
3.0ms	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
3.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
3.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
3.0ms	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))

Results

Accuracy	Segments	Branch
68.0%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
72.3%	3	`y`
67.8%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
87.1%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
87.1%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 77 to 70 computations (9.1% saved)

regimes7.0ms (0%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms

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

3.0ms

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Results

Accuracy	Segments	Branch
87.0%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
87.0%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes7.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms

(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

3.0ms

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

Results

Accuracy	Segments	Branch
83.0%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
83.0%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes46.0ms (0.2%)

Memory

-1.6MiB live, 45.2MiB allocated; 2ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
68.0%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
49.8%	1	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
68.0%	2	`y`
51.7%	2	`z`
49.8%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
49.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
51.9%	2	`t`
49.8%	1	`x`
67.8%	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
67.8%	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`

Compiler

Compiled 86 to 95 computations (-10.5% saved)

regimes39.0ms (0.2%)

Memory

-45.4MiB live, 54.5MiB allocated; 17ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

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

Results

Accuracy	Segments	Branch
37.2%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
37.2%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
37.2%	1	`x`
37.2%	1	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
37.2%	1	`z`
37.2%	1	`t`
37.2%	1	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
37.2%	1	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
37.2%	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
37.2%	1	`y`
37.2%	1	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`

Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes11.0ms (0%)

Memory

33.9MiB live, 33.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

11 calls:

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

Results

Accuracy	Segments	Branch
1.9%	1	`t`
1.9%	1	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
1.9%	1	`y`
1.9%	1	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
1.9%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
1.9%	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
1.9%	1	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
1.9%	1	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
1.9%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
1.9%	1	`x`
1.9%	1	`z`

Compiler

Compiled 101 to 109 computations (-7.9% saved)

bsearch68.0ms (0.3%)

Memory

-4.8MiB live, 88.7MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
62.0ms	332689.1175568815	164471516.4621321

Samples

53.0ms	122×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 1 130 to 751 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-add: 18.0ms (37.2% of total)

ival-sqrt: 13.0ms (26.9% of total)

adjust: 13.0ms (26.9% of total)

ival-sub: 4.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000007822745829	1.0228000336868703

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch78.0ms (0.3%)

Memory

18.7MiB live, 112.1MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
71.0ms	481.79907384124044	440126790.7494223

Samples

63.0ms	134×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 1 114 to 715 computations (35.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 20.0ms (37.4% of total)

ival-sqrt: 14.0ms (26.2% of total)

adjust: 14.0ms (26.2% of total)

ival-sub: 5.0ms (9.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

-41.7MiB live, 2.9MiB allocated; 4ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.000866862828161	2.005186782490995
0.0ms	1.000007822745829	1.0228000336868703

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.000866862828161	2.005186782490995
0.0ms	1.000007822745829	1.0228000336868703
0.0ms	0.0	0.0007241315888677491

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.000866862828161	2.005186782490995
0.0ms	1.000007822745829	1.0228000336868703
0.0ms	0.0	0.0007241315888677491

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000007822745829	1.0228000336868703
0.0ms	0.0	0.0007241315888677491

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000007822745829	1.0228000336868703
0.0ms	0.0	0.0007241315888677491

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch92.0ms (0.4%)

Memory

-1.0MiB live, 145.5MiB allocated; 11ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	7.743174189234916e+30	3.7425170415266654e+31
39.0ms	481.79907384124044	440126790.7494223

Samples

70.0ms	188×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 1 624 to 1 138 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

adjust: 24.0ms (39% of total)

ival-sqrt: 20.0ms (32.5% of total)

ival-add: 11.0ms (17.9% of total)

ival-sub: 7.0ms (11.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

9.0MiB live, 9.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.743174189234916e+30	3.7425170415266654e+31
2.0ms	481.79907384124044	440126790.7494223

Compiler

Compiled 1 669 to 1 165 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9996466715021555	1.999930571008759
0.0ms	0.0	0.0007241315888677491

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch33.0ms (0.1%)

Memory

2.2MiB live, 48.5MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.743174189234916e+30	3.7425170415266654e+31
28.0ms	2.5678868102920473e-18	3.771894782406502e-18

Samples

24.0ms	57×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 1 174 to 795 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sqrt: 10.0ms (45.5% of total)

adjust: 7.0ms (31.9% of total)

ival-add: 4.0ms (18.2% of total)

ival-sub: 2.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.0000000074505806

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9999999999999991	2.0

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.04567784668205
0.0ms	1.000007822745829	1.0228000336868703

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.04567784668205
0.0ms	1.000007822745829	1.0228000336868703

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.04567784668205
0.0ms	1.0	1.0000000074505806

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.04567784668205
0.0ms	1.0	1.0000000074505806

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000074505806

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.0000000074505806
0.0ms	1.0	1.0000000074505806

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.0000000074505806
0.0ms	1.0	1.0000000074505806

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0166569548879707	2.5961681960309377
0.0ms	1.0	1.0000000074505806

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.450580596923828e-9

Compiler

Compiled 34 to 32 computations (5.9% saved)

simplify120.0ms (0.5%)

Memory

8.4MiB live, 106.4MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	333	5205
1	491	5205
2	939	5121
3	2704	5041

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 720000 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) (+.f64 (+.f64 (/.f64 (fma.f64 #s(approx (- (- y -1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)))) (/.f64 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal 26000000 binary64)) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 (+.f64 #s(approx (/ (+ (* (- (- y -1) y) (+ (sqrt x) (sqrt (- x -1)))) (* (+ (sqrt y) (sqrt (- y -1))) (- (- x -1) x))) (* (+ (sqrt y) (sqrt (- y -1))) (+ (sqrt x) (sqrt (- x -1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 2257429313219461/1125899906842624 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (- (sqrt (- z -1)) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (- t -1) t) (+ (sqrt t) (sqrt (- t -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))))
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(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 3 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 3 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 3 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (sqrt.f64 z)) #s(approx (+ (sqrt y) (sqrt x)) (sqrt.f64 y)))))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) #s(literal 1 binary64))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 5/2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 0 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))

Outputs
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 t))) (- (sqrt (+ 1 z)) (sqrt t))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) 1) (neg.f64 (sqrt.f64 x))))

derivations1.2s (5.1%)

Memory

19.5MiB live, 901.2MiB allocated; 266ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 5 205 to 334 computations (93.6% saved)

preprocess183.0ms (0.8%)

Memory: 2.1MiB live, 324.6MiB allocated; 55ms collecting garbage
Compiler: Compiled 10 828 to 918 computations (91.5% saved)

end0.0ms (0%)

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