Metrics for Main:z from

start0.0ms (0%)

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

analyze275.0ms (1.3%)

Memory

5.6MiB live, 285.3MiB allocated; 75ms 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)

sample9.6s (46.8%)

Memory

220.0MiB live, 11 271.7MiB allocated; 2.2s collecting garbage

Samples

4.3s	7 658×	1	valid
3.3s	15 747×	0	invalid
86.0ms	598×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.3s

ival-sqrt: 2.6s (40.6% of total)

ival-add: 1.4s (22.7% of total)

adjust: 1.4s (22.3% of total)

ival-sub: 867.0ms (13.7% of total)

ival-true: 19.0ms (0.3% of total)

exact: 18.0ms (0.3% of total)

ival-assert: 11.0ms (0.2% of total)

Bogosity

explain696.0ms (3.4%)

Memory

-60.7MiB live, 745.2MiB allocated; 127ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
128	-	-	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
127	-	-	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
117	-	-	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
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 y #s(literal 1 binary64))) (sqrt.f64 y))`	cancellation	33
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`	cancellation	28
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`	cancellation	28
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`	cancellation	25

Confusion

	Predicted +	Predicted -
+	50	0
-	43	163

Precision

0.5376344086021505

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	50	0	0
-	43	0	163

Precision?

0.5376344086021505

Recall?

1.0

Freqs

test

number	freq
0	163
1	77
2	12
3	3
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

396.0ms	478×	1	valid
5.0ms	34×	0	valid

Compiler

Compiled 311 to 76 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 356.0ms

ival-sqrt: 102.0ms (28.7% of total)

adjust: 93.0ms (26.1% of total)

ival-sub: 81.0ms (22.8% of total)

ival-add: 78.0ms (21.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess183.0ms (0.9%)

Memory

27.0MiB live, 219.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	485
1	226	485
2	801	485
3	3189	485
4	3396	485
5	3491	485
6	4181	485
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)

prune13.0ms (0.1%)

Memory

-45.7MiB live, 1.5MiB allocated; 2ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(+.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)))

Status

Accuracy

Program

▶

93.0%

(+.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)))

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify131.0ms (0.6%)

Memory

47.1MiB live, 233.4MiB allocated; 15ms 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)

localize238.0ms (1.2%)

Memory

-9.7MiB live, 346.8MiB allocated; 78ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.253983752254642	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	16.662842193863025	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy	41.41032152233801	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	57.21865895434572	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Samples

192.0ms	239×	1	valid
3.0ms	17×	0	valid

Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-sqrt: 75.0ms (43.5% of total)

adjust: 60.0ms (34.8% of total)

ival-add: 28.0ms (16.2% of total)

ival-sub: 9.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.3%)

Memory

8.4MiB live, 71.5MiB allocated; 45ms 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
41.0ms	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)))
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	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)))

simplify223.0ms (1.1%)

Memory

29.2MiB live, 209.1MiB allocated; 88ms 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)))

rewrite198.0ms (1%)

Memory

-24.9MiB live, 208.2MiB allocated; 29ms 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))))))

eval58.0ms (0.3%)

Memory: -2.0MiB live, 88.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 29 605 to 1 961 computations (93.4% saved)

prune93.0ms (0.4%)

Memory

0.5MiB live, 48.3MiB allocated; 90ms collecting garbage

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	373	21	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	374	21	395

Accuracy

99.6%

Counts

395 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.4%	(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (+.f64 (-.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (.f64 y (-.f64 y #s(literal -1 binary64))))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (+.f64 (-.f64 y #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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	93.5%	(+.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)))
	93.0%	(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 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)))
▶	93.6%	(+.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)))
▶	93.5%	(+.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 (-.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)))
	93.1%	(+.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 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
	66.3%	(+.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))) #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)))
	61.5%	(+.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))) #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)))
	68.7%	(+.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)))
	92.3%	(+.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 (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)))
	4.3%	(+.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)) (-.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)))
	91.6%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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)))
	30.6%	(+.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)))
▶	9.2%	(+.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)))
	75.6%	(+.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)))
	36.4%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.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)))
	48.9%	(+.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)))
	67.4%	(+.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)))
	34.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (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))))
▶	34.2%	#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 (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))))
▶	41.2%	#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 (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)))

Compiler

Compiled 1 902 to 1 372 computations (27.9% saved)

simplify141.0ms (0.7%)

Memory

-1.9MiB live, 140.4MiB allocated; 22ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (-.f64 (-.f64 z #s(literal -1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z #s(literal -1 binary64))))))
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 (-.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)))
cost-diff	4	(-.f64 (-.f64 z #s(literal -1 binary64)) z)
cost-diff	0	(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)))
cost-diff	0	#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))))
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) 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)))
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) 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)))
cost-diff	0	(+.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)))
cost-diff	0	(-.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)))
cost-diff	0	(+.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))
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 (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)))
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 (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))))))
cost-diff	0	(+.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)))
cost-diff	0	(+.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)))
cost-diff	4	(-.f64 (-.f64 y #s(literal -1 binary64)) y)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	892
0	146	884
1	254	884
2	609	884
3	2338	856
4	3684	856
5	4045	856
6	6745	856
0	8018	856

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

localize473.0ms (2.3%)

Memory

45.9MiB live, 552.3MiB allocated; 99ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.253983752254642	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	16.662842193863025	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy	40.70345750114098	(-.f64 (-.f64 z #s(literal -1 binary64)) z)
accuracy	57.21865895434572	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	16.662842193863025	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
accuracy	41.41032152233801	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	57.21865895434572	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	57.872883495392074	#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))))
accuracy	0.05078125	(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy	0.05859375	(+.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))
accuracy	2.767621236382117	#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)))
accuracy	56.08302717064431	(-.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)))
accuracy	0.03515625	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
accuracy	0.05078125	(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy	3.681479154675128	#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	38.35474982136165	(-.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	2.253983752254642	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	15.720682617204792	(-.f64 (-.f64 y #s(literal -1 binary64)) y)
accuracy	41.41032152233801	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	57.21865895434572	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Samples

333.0ms	239×	1	valid
7.0ms	17×	0	valid

Compiler

Compiled 802 to 68 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

adjust: 98.0ms (37% of total)

ival-sqrt: 71.0ms (26.8% of total)

ival-add: 58.0ms (21.9% of total)

ival-sub: 23.0ms (8.7% of total)

ival-div: 10.0ms (3.8% of total)

ival-mult: 5.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series90.0ms (0.4%)

Memory

-5.3MiB live, 119.8MiB allocated; 26ms collecting garbage

Counts

26 → 572

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
25.0ms	y	@	0	((- (- y -1) y) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (+ (+ (+ (- (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))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (- (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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (- (- z -1) z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)))
11.0ms	z	@	-inf	((- (- y -1) y) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (+ (+ (+ (- (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))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (- (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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (- (- z -1) z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)))
5.0ms	z	@	0	((- (- y -1) y) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (+ (+ (+ (- (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))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (- (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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (- (- z -1) z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)))
4.0ms	x	@	-inf	((- (- y -1) y) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (+ (+ (+ (- (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))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (- (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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (- (- z -1) z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)))
4.0ms	y	@	-inf	((- (- y -1) y) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (+ (+ (+ (- (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))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (- (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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (- (- z -1) z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)))

simplify295.0ms (1.4%)

Memory

-8.5MiB live, 226.2MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2156	31013
1	6123	30411
0	8074	29500

Stop Event

1×	iter limit
1×	node limit

Counts

572 → 572

Calls

Call 1

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

rewrite272.0ms (1.3%)

Memory

-17.8MiB live, 254.9MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	583
0	146	589
1	726	549
2	7871	549
0	8092	549

Stop Event

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

Counts

26 → 561

Calls

Call 1

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

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

eval284.0ms (1.4%)

Memory: -2.0MiB live, 243.9MiB allocated; 144ms collecting garbage
Compiler: Compiled 79 780 to 5 013 computations (93.7% saved)

prune103.0ms (0.5%)

Memory

11.9MiB live, 152.2MiB allocated; 22ms collecting garbage

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	1 069	25	1 094
Fresh	7	9	16
Picked	5	0	5
Done	0	0	0
Total	1 081	34	1 115

Accuracy

99.9%

Counts

1 115 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.5%	(+.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)))
	93.0%	(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 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)))
	67.0%	(+.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)))))) #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)))
	93.1%	(+.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 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
	61.5%	(+.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))) #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)))
	92.2%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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)) (-.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)))
	4.5%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (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) (/.f64 #s(literal 1 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)))
▶	30.6%	(+.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)))
	9.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 (/.f64 #s(literal 1/2 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)))
	9.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) 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)))
	9.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)))
	9.5%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.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)))
	67.7%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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) 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)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	93.1%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (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)))
	48.9%	(+.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)))
	67.4%	(+.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)))
	71.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	34.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (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))))
	26.7%	#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 y)) (sqrt.f64 x))))
	34.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
▶	28.1%	#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))))
	40.1%	#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 (+.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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
	62.6%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	2.1%	#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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
	27.4%	#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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
	59.0%	#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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #s(literal 1 binary64)))
	34.9%	#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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
	48.9%	#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 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)))))
	49.9%	#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 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)))))
	59.1%	#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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
	51.4%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (+.f64 #s(literal 2 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) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
▶	2.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))

Compiler

Compiled 4 000 to 2 810 computations (29.8% saved)

simplify143.0ms (0.7%)

Memory

-12.4MiB live, 134.1MiB allocated; 17ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	887
0	156	907
1	278	907
2	619	907
3	2160	859
4	3988	859
5	4660	859
0	8331	857

Stop Event

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

Calls

Call 1

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

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

localize591.0ms (2.9%)

Memory

9.7MiB live, 681.8MiB allocated; 86ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.253983752254642	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy	41.41032152233801	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	42.26454449531826	#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	57.21865895434572	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
accuracy	2.2578900022634376	(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))
accuracy	17.761814280511885	#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
accuracy	57.21865895434572	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	0.05078125	(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy	3.681479154675128	#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))))
accuracy	38.35474982136165	(-.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)))
accuracy	41.60148985827957	#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)))))
accuracy	0.14453125	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.26953125	(*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
accuracy	2.767621236382117	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))
accuracy	60.375400822841755	#s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
accuracy	1.9452684509295415	(-.f64 (-.f64 x #s(literal -1 binary64)) x)
accuracy	16.662842193863025	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy	41.41032152233801	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	57.21865895434572	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Samples

500.0ms	239×	1	valid
8.0ms	17×	0	valid

Compiler

Compiled 694 to 81 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 447.0ms

ival-add: 184.0ms (41.1% of total)

adjust: 146.0ms (32.6% of total)

ival-sqrt: 56.0ms (12.5% of total)

ival-sub: 38.0ms (8.5% of total)

ival-div: 15.0ms (3.4% of total)

ival-mult: 8.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series86.0ms (0.4%)

Memory

29.4MiB live, 74.7MiB allocated; 6ms collecting garbage

Counts

27 → 551

Calls

Call 1

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

Outputs
#s(approx (- (- x -1) x) #s(hole binary64 1))
#s(approx (+ (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (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 (sqrt x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (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 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (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)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (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)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z)))))
#s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt x)))) (sqrt y))))
#s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))) (sqrt y))))
#s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))) (sqrt y))))
#s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (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 (- (+ 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))))
#s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #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 (* (- 1/2 (sqrt (/ 1 x))) x) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (- 1/2 (sqrt (/ 1 x))) x) #s(hole binary64 (+ (* -1 (sqrt x)) (* 1/2 x))))
#s(approx (- 1/2 (sqrt (/ 1 x))) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (- 1/2 (sqrt (/ 1 x))) #s(hole binary64 (/ (- (* 1/2 x) (sqrt x)) 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)))) (+ (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)) (* 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))) #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))) #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))) #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))))))))
#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)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) #s(hole binary64 (+ 2 (+ (sqrt (+ 1 y)) (* 1/2 z)))))
#s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) #s(hole binary64 (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 z))))))
#s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) #s(hole binary64 (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (* x (+ 1/2 (* -1/8 x))))))))
#s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) #s(hole binary64 (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (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 (/ (+ (* -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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 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)) (* 1/2 x))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 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)) (* 1/2 x))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (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) (sqrt (- y -1))))) (- (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) (sqrt (- y -1))))) (- (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 (+ 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
34.0ms	z	@	-inf	((- (- x -1) x) (+ (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (* (- 1/2 (sqrt (/ 1 x))) x) (- 1/2 (sqrt (/ 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 (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (/ 1 x)) (+ (sqrt z) (sqrt y)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 x)) (sqrt x)))
4.0ms	x	@	-inf	((- (- x -1) x) (+ (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (* (- 1/2 (sqrt (/ 1 x))) x) (- 1/2 (sqrt (/ 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 (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (/ 1 x)) (+ (sqrt z) (sqrt y)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 x)) (sqrt x)))
4.0ms	x	@	0	((- (- x -1) x) (+ (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (* (- 1/2 (sqrt (/ 1 x))) x) (- 1/2 (sqrt (/ 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 (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (/ 1 x)) (+ (sqrt z) (sqrt y)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 x)) (sqrt x)))
4.0ms	y	@	-inf	((- (- x -1) x) (+ (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (* (- 1/2 (sqrt (/ 1 x))) x) (- 1/2 (sqrt (/ 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 (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (/ 1 x)) (+ (sqrt z) (sqrt y)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 x)) (sqrt x)))
4.0ms	x	@	inf	((- (- x -1) x) (+ (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (* (- 1/2 (sqrt (/ 1 x))) x) (- 1/2 (sqrt (/ 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 (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (/ 1 y)) 1/2) (- (sqrt (+ 1 x)) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (/ 1 x)) (+ (sqrt z) (sqrt y)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 x)) (sqrt x)))

simplify266.0ms (1.3%)

Memory

23.1MiB live, 290.1MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2130	29251
1	5996	28630
0	8489	27830

Stop Event

1×	iter limit
1×	node limit

Counts

551 → 551

Calls

Call 1

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

rewrite204.0ms (1%)

Memory

-33.8MiB live, 317.5MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	674
0	156	674
1	840	635
0	8891	633

Stop Event

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

Counts

27 → 413

Calls

Call 1

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

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

eval192.0ms (0.9%)

Memory: -7.5MiB live, 276.1MiB allocated; 42ms collecting garbage
Compiler: Compiled 75 501 to 4 817 computations (93.6% saved)

prune63.0ms (0.3%)

Memory

1.8MiB live, 142.4MiB allocated; 9ms collecting garbage

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	1 005	16	1 021
Fresh	7	22	29
Picked	4	1	5
Done	0	0	0
Total	1 016	39	1 055

Accuracy

99.9%

Counts

1 055 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.0%	(+.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)))))) #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)))
▶	93.1%	(+.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 (-.f64 (-.f64 t #s(literal -1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t #s(literal -1 binary64))))))
	61.5%	(+.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))) #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)))
	92.2%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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)) (-.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)))
	39.6%	(+.f64 (+.f64 #s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (/.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)))
	9.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)))
	67.7%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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) 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)))
	68.0%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	67.3%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	35.7%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	4.1%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	4.5%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	30.6%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	9.5%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	15.6%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	93.1%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (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)))
	48.9%	(+.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)))
	71.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	34.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (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))))
	34.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	25.6%	#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))) (+.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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
	28.1%	#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))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	40.1%	#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 (+.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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
	62.6%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	2.1%	#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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
	27.4%	#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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
	59.0%	#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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #s(literal 1 binary64)))
	34.9%	#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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
	48.9%	#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 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)))))
	49.9%	#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 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)))))
	59.1%	#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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
	51.4%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (+.f64 #s(literal 2 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) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))))
	2.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
✓	2.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))
	6.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
	2.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
	2.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (sqrt.f64 x))))))
▶	2.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (neg.f64 (sqrt.f64 x)))))

Compiler

Compiled 5 019 to 3 424 computations (31.8% saved)

simplify137.0ms (0.7%)

Memory

15.8MiB live, 112.2MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	898
0	155	894
1	252	894
2	560	894
3	2132	878
4	3854	878
5	4355	878
0	8157	872

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

localize443.0ms (2.1%)

Memory

11.2MiB live, 680.3MiB allocated; 79ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.2476711384059045	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy	16.662842193863025	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy	41.41032152233801	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	57.21865895434572	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	2.2578900022634376	(-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	3.0365486123943928	#s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64)))
accuracy	17.761814280511885	#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (sqrt.f64 x)))
accuracy	57.21865895434572	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy	0.05859375	(+.f64 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64))
accuracy	2.767621236382117	#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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
accuracy	56.08302717064431	(-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))
accuracy	61.47126041030765	#s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(neg.f64 (sqrt.f64 x))
accuracy	2.767621236382117	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (neg.f64 (sqrt.f64 x)))))
accuracy	3.630344826860475	#s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (neg.f64 (sqrt.f64 x)))
accuracy	60.375400822841755	#s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (neg.f64 (sqrt.f64 x))))
accuracy	2.253983752254642	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	16.662842193863025	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy	41.41032152233801	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy	57.63931454015361	(-.f64 (-.f64 t #s(literal -1 binary64)) t)

Samples

338.0ms	239×	1	valid
31.0ms	17×	0	valid

Compiler

Compiled 684 to 70 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 295.0ms

adjust: 128.0ms (43.4% of total)

ival-add: 55.0ms (18.7% of total)

ival-sqrt: 53.0ms (18% of total)

ival-sub: 38.0ms (12.9% of total)

ival-div: 13.0ms (4.4% of total)

ival-mult: 5.0ms (1.7% of total)

ival-neg: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.2%)

Memory

-6.8MiB live, 91.1MiB allocated; 9ms collecting garbage

Counts

24 → 439

Calls

Call 1

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

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))))) #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))))) #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))))) #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))))) #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))) #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)) (- (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)))))))
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#s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) #s(hole binary64 (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 y))) (* (/ 1 t) (sqrt (+ 1 z))))))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt x) (sqrt z)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (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) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 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) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))) (+ (sqrt x) (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))) (/ (- (- 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 (+ 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(hole binary64 (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 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)) (* 1/2 x))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 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)) (* 1/2 x))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) #s(hole binary64 (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (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)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (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)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))))
#s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) #s(hole binary64 (* -1 (* t (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))))
#s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) #s(hole binary64 (* -1 (* t (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))))
#s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) #s(hole binary64 (* -1 (* t (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 x)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (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) (sqrt (- y -1))))) (- (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) (sqrt (- y -1))))) (- (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 (+ 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
7.0ms	x	@	-inf	((- (- 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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (* (- 1/2 (sqrt (/ 1 x))) x) (neg (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)))
3.0ms	x	@	inf	((- (- 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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (* (- 1/2 (sqrt (/ 1 x))) x) (neg (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)))
3.0ms	x	@	0	((- (- 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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (* (- 1/2 (sqrt (/ 1 x))) x) (neg (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)))
2.0ms	t	@	inf	((- (- 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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (* (- 1/2 (sqrt (/ 1 x))) x) (neg (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)))
2.0ms	t	@	-inf	((- (- 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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (* (- 1/2 (sqrt (/ 1 x))) x) (neg (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)))

simplify255.0ms (1.2%)

Memory

25.3MiB live, 401.4MiB allocated; 93ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1860	25036
1	5295	24296
0	8381	23611

Stop Event

1×	iter limit
1×	node limit

Counts

439 → 439

Calls

Call 1

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

rewrite2.1s (10.1%)

Memory

-237.4MiB live, 117.8MiB allocated; 2.4s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	682
0	156	682
1	755	661
2	7739	637
0	8028	631

Stop Event

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

Counts

24 → 343

Calls

Call 1

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

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

eval142.0ms (0.7%)

Memory: -1.7MiB live, 87.0MiB allocated; 13ms collecting garbage
Compiler: Compiled 64 435 to 3 813 computations (94.1% saved)

prune80.0ms (0.4%)

Memory

27.2MiB live, 75.0MiB allocated; 1ms collecting garbage

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	846	7	853
Fresh	7	26	33
Picked	2	3	5
Done	1	0	1
Total	856	36	892

Accuracy

99.9%

Counts

892 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.0%	(+.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)))))) #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)))
	29.4%	(+.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))) #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))))))
	92.2%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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)))
	86.1%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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))))
	29.3%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	64.8%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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)))
	60.1%	(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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)))
	39.6%	(+.f64 (+.f64 #s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (/.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)))
	9.2%	(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)))
	67.7%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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) 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)))
	68.0%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓	67.3%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	35.7%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	4.1%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	4.5%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	30.6%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	9.5%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	15.6%	(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	48.9%	(+.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)))
	71.8%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	64.8%	#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)))))
	34.2%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	25.6%	#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))) (+.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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x))))
	28.1%	#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))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
	40.1%	#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 (+.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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
	62.6%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
✓	2.1%	#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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
	27.4%	#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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
	34.9%	#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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
	48.9%	#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 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)))))
	49.9%	#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 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)))))
	59.1%	#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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
	2.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
	2.1%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (sqrt.f64 x))))))
	6.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))))
✓	2.0%	#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (neg.f64 (sqrt.f64 x)))))

Compiler

Compiled 6 342 to 2 026 computations (68.1% saved)

regimes212.0ms (1%)

Memory

-21.6MiB live, 314.8MiB allocated; 41ms collecting garbage

Counts

70 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.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 (+.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)))
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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))))) (+.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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(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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)))
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(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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) 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)))
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(+.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)))
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(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (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) (/.f64 #s(literal 1 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 (/.f64 (fma.f64 (-.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (+.f64 (-.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (.f64 y (-.f64 y #s(literal -1 binary64))))) (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (+.f64 (+.f64 (-.f64 y #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 (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)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))) (-.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) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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) 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))) (/ (- (- 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

11 calls:

34.0ms	(+.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)))
25.0ms	t
23.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
18.0ms	z
18.0ms	x

Results

Accuracy	Segments	Branch
93.6%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
96.2%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
97.7%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
97.7%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.5%	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)))`
99.6%	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)))`
99.6%	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)))`
97.7%	2	`x`
97.7%	2	`y`
96.2%	2	`z`
93.6%	1	`t`

Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes50.0ms (0.2%)

Memory

-2.8MiB live, 43.5MiB allocated; 2ms collecting garbage

Counts

67 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.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 (+.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))) (-.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)) (-.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (+.f64 #s(literal 2 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) 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 (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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (/.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 #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))) (-.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)) (-.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)) (-.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)) (-.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)))
#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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (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 (+.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)))) (-.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.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 (/.f64 #s(literal 1/2 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(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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (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)))) (-.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))) #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 (-.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(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 (-.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 (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) 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)) (-.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 (-.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(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))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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) 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 (-.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)))))) #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 (-.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)) (-.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 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 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)))

Outputs

(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.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) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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) 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))) (/ (- (- 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:

31.0ms

(+.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)))

14.0ms

(+.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
99.5%	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)))`
99.5%	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 54 to 43 computations (20.4% saved)

regimes61.0ms (0.3%)

Memory

-9.8MiB live, 40.6MiB allocated; 5ms collecting garbage

Counts

59 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #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))) #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)))))
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(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.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)) (-.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (+.f64 #s(literal 2 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) 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 (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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (/.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 #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))) (-.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)) (-.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)) (-.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)) (-.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)))
#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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (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 (+.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)))) (-.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.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 (/.f64 #s(literal 1/2 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(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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (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)))) (-.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))) #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 (-.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(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 (-.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 (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) 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)) (-.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 (-.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(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))))))

Outputs

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

Calls

3 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)))

12.0ms

(+.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
99.3%	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)))`
99.3%	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)))`
99.3%	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)

regimes108.0ms (0.5%)

Memory

29.8MiB live, 76.5MiB allocated; 1ms collecting garbage

Counts

50 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.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 (+.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))) (-.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)) (-.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (+.f64 #s(literal 2 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) 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 (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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (/.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 #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))) (-.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)) (-.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)) (-.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)) (-.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)))
#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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (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 (+.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)))) (-.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.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 (/.f64 #s(literal 1/2 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(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)))

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

41.0ms	y
13.0ms	x
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)))
10.0ms	(+.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)))
10.0ms	(+.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
96.2%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
96.2%	2	`x`
96.2%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
96.2%	2	`y`
97.7%	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)))`
99.6%	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)))`
99.6%	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)

regimes61.0ms (0.3%)

Memory

-7.9MiB live, 38.6MiB allocated; 3ms collecting garbage

Counts

48 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.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 (+.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))) (-.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)) (-.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (+.f64 #s(literal 2 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) 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 (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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (/.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 #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))) (-.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)) (-.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)) (-.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)) (-.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)))
#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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (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 (+.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)))) (-.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.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 (/.f64 #s(literal 1/2 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(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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.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) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (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))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (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 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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

4 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)))
12.0ms	z
10.0ms	(+.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)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))

Results

Accuracy	Segments	Branch
94.4%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
96.0%	3	`z`
99.3%	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)))`
99.3%	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 62 to 56 computations (9.7% saved)

regimes20.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

40 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.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 (+.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))) (-.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)) (-.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (+.f64 #s(literal 2 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) 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 (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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (/.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 #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))) (-.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)) (-.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)) (-.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.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) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (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))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (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 (+ (- (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)))

Calls

2 calls:

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 (+.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
99.3%	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)))`
99.3%	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)

regimes47.0ms (0.2%)

Memory

-28.7MiB live, 18.0MiB allocated; 1ms collecting garbage

Counts

36 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.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 (+.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))) (-.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)) (-.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (+.f64 #s(literal 2 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) 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 (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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (sqrt (+ y 1)) (sqrt y))) (/.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)))

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

Calls

2 calls:

36.0ms

(+.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

(+.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
99.3%	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)))`
99.3%	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)

regimes81.0ms (0.4%)

Memory

-0.7MiB live, 48.1MiB allocated; 4ms collecting garbage

Counts

34 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.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 (+.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))) (-.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)) (-.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (+.f64 #s(literal 2 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) 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 (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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))

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

Calls

7 calls:

33.0ms	y
9.0ms	x
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)))
7.0ms	(+.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)))
7.0ms	(+.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
90.5%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
90.5%	2	`y`
81.7%	3	`x`
77.4%	3	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
93.7%	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)))`
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 85 to 83 computations (2.4% saved)

regimes89.0ms (0.4%)

Memory

-5.4MiB live, 41.4MiB allocated; 2ms collecting garbage

Counts

33 → 5

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

Calls

6 calls:

9.0ms	t
9.0ms	z
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)))
7.0ms	(+.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)))
7.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))

Results

Accuracy	Segments	Branch
93.6%	3	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
93.6%	3	`z`
73.5%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
80.6%	3	`t`
99.0%	5	`(+.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)))`
99.0%	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 (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 70 to 69 computations (1.4% saved)

regimes17.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

32 → 5

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

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

Calls

2 calls:

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)))

7.0ms

(+.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
98.7%	5	`(+.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)))`
98.7%	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 (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)

regimes79.0ms (0.4%)

Memory

-5.5MiB live, 41.1MiB allocated; 2ms collecting garbage

Counts

28 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.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 (+.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 x)) 1/2) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))) (-.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)))

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

Calls

7 calls:

39.0ms	y
8.0ms	z
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)))
6.0ms	(+.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)))
6.0ms	(+.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
88.4%	3	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
88.5%	3	`y`
87.6%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
87.6%	2	`z`
89.9%	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)))`
93.3%	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)))`
93.3%	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)

regimes14.0ms (0.1%)

Memory

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

Counts

26 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (-.f64 z #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 (-.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 (+.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)))

Outputs

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

Calls

2 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)))

6.0ms

(+.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
90.5%	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)))`
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 54 to 43 computations (20.4% saved)

regimes13.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (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) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt 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 (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 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))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))

Calls

2 calls:

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
90.4%	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)))`
90.4%	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)

regimes54.0ms (0.3%)

Memory

-22.2MiB live, 24.6MiB allocated; 2ms collecting garbage

Counts

21 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))) #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

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

Calls

5 calls:

32.0ms	(+.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)))
6.0ms	z
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)))
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)))
4.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))

Results

Accuracy	Segments	Branch
71.7%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
75.6%	3	`z`
67.3%	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)))`
89.0%	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)))`
89.0%	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 77 to 70 computations (9.1% saved)

regimes22.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

Counts

20 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) 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 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #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))) (-.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 #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))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.3%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
70.3%	3	`y`
87.5%	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)))`
87.5%	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 62 to 56 computations (9.7% saved)

regimes10.0ms (0%)

Memory

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

Counts

17 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.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 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 #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 (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.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 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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))

Outputs

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

Calls

2 calls:

4.0ms

(+.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)))

4.0ms

(+.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
87.5%	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)))`
87.5%	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 54 to 43 computations (20.4% saved)

regimes38.0ms (0.2%)

Memory

-32.0MiB live, 15.1MiB allocated; 6ms collecting garbage

Counts

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

Calls

2 calls:

32.0ms

(+.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)))

4.0ms

(+.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
85.1%	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)))`
85.1%	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 54 to 43 computations (20.4% saved)

regimes39.0ms (0.2%)

Memory

3.2MiB live, 48.3MiB allocated; 9ms collecting garbage

Counts

12 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (-.f64 #s(approx (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (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))) #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)))))

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

Calls

9 calls:

10.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
4.0ms	z
4.0ms	t
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
67.3%	2	`y`
49.9%	1	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
49.9%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
53.8%	2	`z`
52.1%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
49.9%	1	`t`
54.4%	2	`x`
67.3%	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)))`
67.3%	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)))`

Compiler

Compiled 79 to 86 computations (-8.9% saved)

regimes16.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Counts

10 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 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))) #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)))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
66.6%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
66.6%	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)))`
66.6%	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)))`
66.6%	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)))`
66.6%	2	`y`

Compiler

Compiled 77 to 70 computations (9.1% saved)

regimes41.0ms (0.2%)

Memory

7.5MiB live, 53.2MiB allocated; 10ms collecting garbage

Counts

9 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))

Calls

11 calls:

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)))
3.0ms	y
3.0ms	t
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
34.9%	1	`t`
34.9%	1	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
34.9%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
34.9%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
34.9%	1	`z`
34.9%	1	`x`
34.9%	1	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
34.9%	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)))`
34.9%	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)))`
34.9%	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)))`
34.9%	1	`y`

Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes36.0ms (0.2%)

Memory

-0.7MiB live, 46.3MiB allocated; 3ms collecting garbage

Counts

7 → 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 #s(approx (- 1/2 (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))))

Calls

11 calls:

12.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.0ms	t
2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
6.0%	1	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
6.0%	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)))`
6.0%	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)))`
6.0%	1	`x`
6.0%	1	`y`
6.0%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
6.0%	1	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
6.0%	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)))`
6.0%	1	`z`
6.0%	1	`t`
6.0%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes27.0ms (0.1%)

Memory

-31.1MiB live, 31.2MiB allocated; 8ms collecting garbage

Counts

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

Calls

11 calls:

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)))
2.0ms	t
2.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
2.1%	1	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
2.1%	1	`z`
2.1%	1	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
2.1%	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)))`
2.1%	1	`x`
2.1%	1	`y`
2.1%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
2.1%	1	`t`
2.1%	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)))`
2.1%	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)))`
2.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes25.0ms (0.1%)

Memory

-23.6MiB live, 23.2MiB allocated; 4ms 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (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	t
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
2.0%	1	`y`
2.0%	1	`z`
2.0%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
2.0%	1	`t`
2.0%	1	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
2.0%	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)))`
2.0%	1	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
2.0%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
2.0%	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)))`
2.0%	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)))`
2.0%	1	`x`

Compiler

Compiled 101 to 109 computations (-7.9% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0000025389017537	2.00028294062281
0.0ms	1.8688151612877846e-6	0.6288210450440563

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0000025389017537	2.00028294062281
0.0ms	1.8688151612877846e-6	0.6288210450440563

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	1.618395036858194	1.679668359995246
0.0ms	1.8688151612877846e-6	0.6288210450440563

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0097792492605846	2.237363813983249
0.0ms	1.618395036858194	1.679668359995246
0.0ms	1.8688151612877846e-6	0.6288210450440563

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0097792492605846	2.237363813983249
0.0ms	1.618395036858194	1.679668359995246
0.0ms	1.8688151612877846e-6	0.6288210450440563

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0097792492605846	2.237363813983249
0.0ms	1.618395036858194	1.679668359995246
0.0ms	1.8688151612877846e-6	0.6288210450440563

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.9999993574779373	2.9999999963008435
0.0ms	1.618395036858194	1.679668359995246
0.0ms	1.8688151612877846e-6	0.6288210450440563

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.9999993574779373	2.9999999963008435
0.0ms	1.0000364382249245	1.0001164192699434
0.0ms	1.8688151612877846e-6	0.6288210450440563

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.999999999999999	3.0
0.0ms	2.0000025389017537	2.00028294062281
0.0ms	1.0000364382249245	1.0001164192699434
0.0ms	1.8688151612877846e-6	0.6288210450440563

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.999999999999999	3.0
0.0ms	2.0000025389017537	2.00028294062281
0.0ms	1.0000364382249245	1.0001164192699434
0.0ms	1.8688151612877846e-6	0.6288210450440563

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0000025389017537	2.00028294062281
0.0ms	1.0000364382249245	1.0001164192699434
0.0ms	1.8688151612877846e-6	0.6288210450440563

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	2.0000025389017537	2.00028294062281
0.0ms	1.0000364382249245	1.0001164192699434

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	2.0000025389017537	2.00028294062281
0.0ms	1.0000364382249245	1.0001164192699434

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	2.0000025389017537	2.00028294062281
0.0ms	1.0000000149011612	1.0000000763684511

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	2.000000014901161
0.0ms	1.0000000149011612	1.0000000763684511

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	2.0	2.000000014901161
0.0ms	1.0000000149011612	1.0000000763684511

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	2.2548468074388293	2.4670476240122916
0.0ms	1.0000000149011612	1.0000000763684511

Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch80.0ms (0.4%)

Memory

19.1MiB live, 65.5MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
75.0ms	43560830695174.195	9181403204111718.0

Samples

70.0ms

112×

valid

Compiler

Compiled 951 to 661 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 37.0ms (57.1% of total)

adjust: 12.0ms (18.5% of total)

ival-sqrt: 12.0ms (18.5% of total)

ival-sub: 4.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	43560830695174.195	9181403204111718.0

Compiler

Compiled 1 042 to 710 computations (31.9% saved)

simplify127.0ms (0.6%)

Memory

-36.3MiB live, 107.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	300	5940
1	448	5940
2	849	5940
3	2695	5868
4	4176	5832
5	6141	5832

Stop Event

1×	node limit

Calls

Call 1

Inputs
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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 4722366482869645/2361183241434822606848 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.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 4504049987333233/2251799813685248 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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) 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))) (/ (- (- 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)))))))
(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 4722366482869645/2361183241434822606848 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.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 3715469692580659/2251799813685248 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.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))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (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)))))
(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 4722366482869645/2361183241434822606848 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.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 3715469692580659/2251799813685248 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (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 2476979795053773/1125899906842624 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (- z -1) z) (+ (sqrt z) (sqrt (- z -1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (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))) (/ (- (- 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 (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))) #s(literal 4503599852550477/4503599627370496 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 (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))) #s(literal 5404319552844595/2251799813685248 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))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal 4500000000000000 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))))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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 y #s(literal 4500000000000000 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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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 (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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 (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (neg.f64 (sqrt.f64 x)))))

Outputs
(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 4722366482869645/2361183241434822606848 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))) (-.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 4504049987333233/2251799813685248 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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) 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))) (/ (- (- 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)))))))
(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 4722366482869645/2361183241434822606848 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (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)))))) (-.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 4504049987333233/2251799813685248 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (- y -1) y) (+ (sqrt y) (sqrt (- y -1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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) 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))) (/ (- (- 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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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (fma.f64 #s(literal 1/2 binary64) x (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))) #s(approx (+ (- (+ (+ (+ (* 1/2 x) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (sqrt (+ 1 t))) (+ (+ (+ (sqrt z) (sqrt y)) (sqrt x)) (sqrt t))) 1) #s(approx (* (- 1/2 (sqrt (/ 1 x))) x) (neg.f64 (sqrt.f64 x)))))

derivations814.0ms (3.9%)

Memory

43.6MiB live, 941.3MiB allocated; 82ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 5 940 to 303 computations (94.9% saved)

preprocess227.0ms (1.1%)

Memory: 24.4MiB live, 346.8MiB allocated; 95ms collecting garbage
Compiler: Compiled 12 568 to 922 computations (92.7% saved)

end0.0ms (0%)

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