Metrics for Main:z from

analyze476.0ms (1.6%)

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 36 to 25 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 391.0ms

ival-sqrt: 332.0ms (84.9% of total)

ival-add: 40.0ms (10.2% of total)

ival-sub: 18.0ms (4.6% of total)

const: 1.0ms (0.3% of total)

backward-pass: 0.0ms (0% of total)

sample10.2s (33.6%)

Results

4.8s	7588×	1	valid
3.2s	16152×	0	invalid
120.0ms	668×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.6s

ival-sqrt: 2.7s (48.2% of total)

ival-add: 1.6s (28.3% of total)

ival-sub: 830.0ms (14.9% of total)

backward-pass: 427.0ms (7.7% of total)

const: 46.0ms (0.8% of total)

Bogosity

preprocess346.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

3918×	`--lowering--.f32`
3918×	`--lowering--.f64`
3904×	`+-lowering-+.f64`
3904×	`+-lowering-+.f32`
1802×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	470
1	280	447
2	1632	447
3	6540	447
0	24	30
1	55	29
2	220	29
3	1630	29
4	5493	29
0	8399	29

Stop Event

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

Calls

Call 1

Inputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))

Outputs

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

Call 2

Inputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (+ (- (sqrt (+ (neg x) 1)) (sqrt (neg x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ (neg y) 1)) (sqrt (neg y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ (neg z) 1)) (sqrt (neg z)))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ (neg t) 1)) (sqrt (neg t))))
(neg (+ (+ (+ (- (sqrt (+ (neg x) 1)) (sqrt (neg x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))))
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ (neg y) 1)) (sqrt (neg y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))))
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ (neg z) 1)) (sqrt (neg z)))) (- (sqrt (+ t 1)) (sqrt t))))
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ (neg t) 1)) (sqrt (neg t)))))
(+ (+ (+ (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (+ (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (+ (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ x 1)) (sqrt x)))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y)))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ z 1)) (sqrt z)))

Outputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y))
(+ (+ (+ (- (sqrt (+ (neg x) 1)) (sqrt (neg x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(sum5 (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (- 1 x)) (sqrt (neg x))) (sqrt (+ 1 z)) (neg (sqrt z)) (- (sqrt (+ 1 t)) (sqrt t)))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ (neg y) 1)) (sqrt (neg y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(sum5 (sqrt (+ x 1)) (neg (sqrt x)) (- (sqrt (- 1 y)) (sqrt (neg y))) (- (sqrt (+ 1 z)) (sqrt z)) (- (sqrt (+ 1 t)) (sqrt t)))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ (neg z) 1)) (sqrt (neg z)))) (- (sqrt (+ t 1)) (sqrt t)))
(sum5 (sqrt (+ x 1)) (neg (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (- 1 z)) (sqrt (neg z))) (- (sqrt (+ 1 t)) (sqrt t)))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ (neg t) 1)) (sqrt (neg t))))
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (- 1 t))) (sqrt (neg t)))
(neg (+ (+ (+ (- (sqrt (+ (neg x) 1)) (sqrt (neg x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))))
(- (- (sqrt t) (sqrt (+ 1 t))) (sum5 (sqrt (+ 1 y)) (neg (sqrt y)) (sqrt (- 1 x)) (neg (sqrt (neg x))) (- (sqrt (+ 1 z)) (sqrt z))))
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ (neg y) 1)) (sqrt (neg y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))))
(- (- (sqrt t) (sqrt (+ 1 t))) (sum5 (sqrt (+ x 1)) (neg (sqrt x)) (sqrt (- 1 y)) (neg (sqrt (neg y))) (- (sqrt (+ 1 z)) (sqrt z))))
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ (neg z) 1)) (sqrt (neg z)))) (- (sqrt (+ t 1)) (sqrt t))))
(- (- (sqrt t) (sqrt (+ 1 t))) (- (sum5 (sqrt (+ x 1)) (neg (sqrt x)) (sqrt (+ 1 y)) (neg (sqrt y)) (sqrt (- 1 z))) (sqrt (neg z))))
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ (neg t) 1)) (sqrt (neg t)))))
(- (- (sqrt (neg t)) (sqrt (- 1 t))) (sum4 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y)) (sqrt (+ 1 z)) (neg (sqrt z))))
(+ (+ (+ (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y))
(+ (+ (+ (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y))
(+ (+ (+ (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ x 1)) (sqrt x)))
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y)))
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y))
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ z 1)) (sqrt z)))
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y))

Symmetry

(sort x y z t)

explain689.0ms (2.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
244	-	-	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
182	-	-	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
81	-	-	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
19	-	-	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
0	-	-	`x`
0	-	-	`(sqrt.f64 t)`
0	-	-	`(+.f64 z #s(literal 1 binary64))`
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	-	-	`z`
0	-	-	`(sqrt.f64 (+.f64 t #s(literal 1 binary64)))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`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	-	-	`(sqrt.f64 (+.f64 z #s(literal 1 binary64)))`
0	-	-	`(sqrt.f64 y)`
0	-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	-	`(sqrt.f64 z)`
0	-	-	`(sqrt.f64 (+.f64 y #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`t`
0	-	-	`(+.f64 y #s(literal 1 binary64))`
0	-	-	`(sqrt.f64 x)`

Results

533.0ms	478×	1	valid
26.0ms	34×	0	valid

Compiler

Compiled 321 to 74 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-add: 74.0ms (33.7% of total)

ival-sqrt: 70.0ms (31.9% of total)

ival-sub: 39.0ms (17.8% of total)

backward-pass: 34.0ms (15.5% of total)

const: 1.0ms (0.5% of total)

eval0.0ms (0%)

Compiler: Compiled 35 to 24 computations (31.4% saved)

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.1%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
▶	90.3%	(+.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)))

Status

Accuracy

Program

▶

30.1%

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

▶

90.3%

(+.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 70 to 48 computations (31.4% saved)

simplify1.3s (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

4556×	`+-lowering-+.f64`
4556×	`+-lowering-+.f32`
1920×	`--lowering--.f32`
1920×	`--lowering--.f64`
1624×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	274
1	94	271
2	380	271
3	2841	271
4	5355	271
0	8423	271

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
x
1
(sqrt x)
(- (sqrt (+ y 1)) (sqrt y))
(sqrt (+ y 1))
(+ y 1)
y
(sqrt y)
(- (sqrt (+ z 1)) (sqrt z))
(sqrt (+ z 1))
(+ z 1)
z
(sqrt z)
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
x
1
(sqrt x)
(+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))))
(- (sqrt (+ 1 y)) (sqrt y))
(sqrt (+ 1 y))
(+ 1 y)
y
(sqrt y)
(+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))
(sqrt (+ 1 z))
(+ 1 z)
z
(- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))
(sqrt (+ 1 t))
(+ 1 t)
t
(+ (sqrt z) (sqrt t))
(sqrt z)
(sqrt t)

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

localize390.0ms (1.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	71.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
✓	accuracy	33.6%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
✓	accuracy	18.0%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
✓	accuracy	94.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	71.4%	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓	accuracy	33.6%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	10.4%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

292.0ms	238×	1	valid
33.0ms	18×	0	valid

Compiler

Compiled 282 to 37 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-add: 60.0ms (36.3% of total)

ival-sqrt: 55.0ms (33.3% of total)

backward-pass: 33.0ms (20% of total)

ival-sub: 16.0ms (9.7% of total)

const: 1.0ms (0.6% of total)

series32.0ms (0.1%)

Counts

13 → 288

Calls

Call 1

Inputs
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))>
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))>
#<alt (- (sqrt (+ x 1)) (sqrt x))>
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))))>
#<alt (sqrt (+ x 1))>
#<alt (+ x 1)>
#<alt (- (sqrt (+ t 1)) (sqrt t))>
#<alt (- (sqrt (+ z 1)) (sqrt z))>
#<alt (- (sqrt (+ y 1)) (sqrt y))>
#<alt (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))>
#<alt (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>

Outputs
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 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)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (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))))>
#<alt (- (+ (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))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (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))))>
#<alt (- (+ (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))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 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)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (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))))>
#<alt (- (+ (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))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 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)))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (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))))>
#<alt (- (+ (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))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (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))))>
#<alt (- (+ (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))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (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)))>
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (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)))>
#<alt (- (+ (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)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (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)))>
#<alt (- (+ (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)))>
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y))>
#<alt (- (+ (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))>
#<alt (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))>
#<alt (- 1 (sqrt x))>
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))>
#<alt (* -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))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 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)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (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))))>
#<alt (- (+ (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))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (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))))>
#<alt (- (+ (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))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 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)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (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))))>
#<alt (- (+ (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))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 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)))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (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))))>
#<alt (- (+ (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))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (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))))>
#<alt (- (+ (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))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (- 1 (sqrt t))>
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))>
#<alt (* 1/2 (sqrt (/ 1 t)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)>
#<alt (* -1/2 (sqrt (/ 1 t)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (- 1 (sqrt z))>
#<alt (- (+ 1 (* 1/2 z)) (sqrt z))>
#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))>
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))>
#<alt (* 1/2 (sqrt (/ 1 z)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)>
#<alt (* -1/2 (sqrt (/ 1 z)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (- 1 (sqrt y))>
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)>
#<alt (* -1/2 (sqrt (/ 1 y)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))>
#<alt (- 1 (+ (sqrt t) (sqrt z)))>
#<alt (- (+ 1 (* 1/2 t)) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (+ (sqrt t) (sqrt z)))>
#<alt (* -1 (sqrt z))>
#<alt (- (* 1/2 (sqrt (/ 1 t))) (sqrt z))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t)))) (sqrt z))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))) (sqrt z))>
#<alt (* -1 (sqrt z))>
#<alt (- (* -1/2 (sqrt (/ 1 t))) (sqrt z))>
#<alt (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (sqrt z))>
#<alt (- (* -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 z))>
#<alt (- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))>
#<alt (- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))>
#<alt (- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))>
#<alt (- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))>
#<alt (* -1 (sqrt z))>
#<alt (* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))))>
#<alt (* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))))>
#<alt (* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))))>
#<alt (* (sqrt z) (pow (sqrt -1) 2))>
#<alt (* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (- (+ 1 (sqrt (+ 1 t))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (* 1/2 z))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (* z (+ 1/2 (* -1/8 z))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (sqrt (+ 1 t)) (sqrt t))>
#<alt (- (+ (sqrt (+ 1 t)) (* 1/2 (sqrt (/ 1 z)))) (sqrt t))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))) (sqrt t))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))) (sqrt t))>
#<alt (- (sqrt (+ 1 t)) (sqrt t))>
#<alt (- (+ (sqrt (+ 1 t)) (* -1/2 (sqrt (/ 1 z)))) (sqrt t))>
#<alt (- (+ (sqrt (+ 1 t)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))) (sqrt t))>
#<alt (- (+ (sqrt (+ 1 t)) (* -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))>
#<alt (- (+ 1 (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 t))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (sqrt (+ 1 z)) (sqrt z))>
#<alt (- (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))) (sqrt z))>
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))) (sqrt z))>
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))) (sqrt z))>
#<alt (- (sqrt (+ 1 z)) (sqrt z))>
#<alt (- (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))) (sqrt z))>
#<alt (- (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) (sqrt z))>
#<alt (- (+ (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 z))>
#<alt (- 1 (sqrt y))>
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)>
#<alt (* -1/2 (sqrt (/ 1 y)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))>

Calls

72 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	y	@	-inf	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	x	@	-inf	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	z	@	inf	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	t	@	-inf	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))

rewrite368.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2486×	`+-lowering-+.f64`
2486×	`+-lowering-+.f32`
2248×	`fma-lowering-fma.f32`
2248×	`fma-lowering-fma.f64`
1866×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	165
1	339	162
2	3840	162
0	8513	162

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 328

Calls

Call 1

Inputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))
(- (sqrt (+ x 1)) (sqrt x))
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))))
(sqrt (+ x 1))
(+ x 1)
(- (sqrt (+ t 1)) (sqrt t))
(- (sqrt (+ z 1)) (sqrt z))
(- (sqrt (+ y 1)) (sqrt y))
(- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))
(+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))
(- (sqrt (+ 1 y)) (sqrt y))

Outputs
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))))
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))))
(+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))
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(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 z))) (sqrt.f64 t))
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 z)) (sqrt.f64 t))
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)) (sqrt.f64 z))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 2 binary64)) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) z) (.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))

simplify350.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

5940×	`+-lowering-+.f64`
5940×	`+-lowering-+.f32`
3692×	`--lowering--.f32`
3692×	`--lowering--.f64`
1800×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	651	6678
1	2175	5975
2	7417	5972
0	8013	5972

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(-.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (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 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
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(- (+ 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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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
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(- (+ (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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(- (+ (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))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(- (+ (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))))
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(- (+ (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))))
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
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(-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (+.f64 (.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 t t))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 z))
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z))
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z))
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z))
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z))
(* -1 (sqrt z))
(-.f64 #s(literal 0 binary64) (sqrt.f64 z))
(* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))))
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))))
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))))
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(* (sqrt z) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 z))
(* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(- (+ 1 (sqrt (+ 1 t))) (+ (sqrt t) (sqrt z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)))
(- (+ 1 (+ (sqrt (+ 1 t)) (* 1/2 z))) (+ (sqrt t) (sqrt z)))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(- (+ 1 (+ (sqrt (+ 1 t)) (* z (+ 1/2 (* -1/8 z))))) (+ (sqrt t) (sqrt z)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal -1/8 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z))))
(- (+ 1 (+ (sqrt (+ 1 t)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) (+ (sqrt t) (sqrt z)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z))))
(- (sqrt (+ 1 t)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(- (+ (sqrt (+ 1 t)) (* 1/2 (sqrt (/ 1 z)))) (sqrt t))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))) (sqrt t))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z))) (sqrt.f64 t))))
(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))) (sqrt t))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) z))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(- (sqrt (+ 1 t)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(- (+ (sqrt (+ 1 t)) (* -1/2 (sqrt (/ 1 z)))) (sqrt t))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(- (+ (sqrt (+ 1 t)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))) (sqrt t))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z)) (sqrt.f64 t))
(- (+ (sqrt (+ 1 t)) (* -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))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) z)) (sqrt.f64 t))
(- (+ 1 (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 t))) (+ (sqrt t) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 t #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))) (sqrt.f64 z))
(- (+ 1 (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))) (+ (sqrt t) (sqrt z)))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(- (+ 1 (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))) (+ (sqrt t) (sqrt z)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(- (sqrt (+ 1 z)) (sqrt z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(- (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))) (sqrt z))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))) (sqrt z))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))) (sqrt z))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))))) (-.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 t t))))) (sqrt.f64 z))))
(- (sqrt (+ 1 z)) (sqrt z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(- (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))) (sqrt z))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) (sqrt z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) t) (sqrt.f64 z)))
(- (+ (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 z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (+.f64 (.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 t t))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) t) (sqrt.f64 z)))
(- 1 (sqrt y))
(-.f64 #s(literal 1 binary64) (sqrt.f64 y))
(- (+ 1 (* 1/2 y)) (sqrt y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 y)))
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))
(+.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 y)))
(* 1/2 (sqrt (/ 1 y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)
(/.f64 (+.f64 (.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -5/128 binary64))) y)
(* -1/2 (sqrt (/ 1 y)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))
(/.f64 (+.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) y))

eval104.0ms (0.3%)

Compiler: Compiled 32219 to 2458 computations (92.4% saved)

prune162.0ms (0.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	671	23	694
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	673	23	696

Accuracy

98.5%

Counts

696 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.9%	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
▶	38.2%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	85.1%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
▶	65.7%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
▶	92.0%	(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.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)))
	67.5%	(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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)))
	36.0%	(+.f64 (+.f64 (-.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)))
	91.4%	(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #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)))
	6.4%	(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))
	91.0%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.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)))
	90.8%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	90.6%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
	86.0%	(+.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 (sqrt.f64 t) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t))
	85.9%	(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
	65.7%	(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	30.6%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (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)))
	30.4%	(+.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (-.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	88.8%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) (-.f64 (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)))
	10.8%	(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (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)))
	26.2%	(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (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)))
▶	49.5%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	33.7%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t)))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))
	39.6%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))

Compiler

Compiled 1728 to 1160 computations (32.9% saved)

simplify554.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) t) t)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
✓	cost-diff	0	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
✓	cost-diff	0	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y)))
✓	cost-diff	0	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓	cost-diff	128	(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))
✓	cost-diff	128	(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) y) y)
✓	cost-diff	256	(-.f64 (+.f64 x #s(literal 1 binary64)) x)

Rules

4436×	`+-lowering-+.f64`
4436×	`+-lowering-+.f32`
1958×	`--lowering--.f32`
1958×	`--lowering--.f64`
1882×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	817
1	214	783
2	840	712
3	5698	694
0	8326	694

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (+ (/ (+ (* (- (+ x 1) x) (+ (sqrt (+ 1 y)) (sqrt y))) (* (+ (pow (+ x 1) 1/2) (sqrt x)) (- (+ 1 y) y))) (* (+ (pow (+ x 1) 1/2) (sqrt x)) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (/ (+ (* (- (+ x 1) x) (+ (sqrt (+ 1 y)) (sqrt y))) (* (+ (pow (+ x 1) 1/2) (sqrt x)) (- (+ 1 y) y))) (* (+ (pow (+ x 1) 1/2) (sqrt x)) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))
(/ (+ (* (- (+ x 1) x) (+ (sqrt (+ 1 y)) (sqrt y))) (* (+ (pow (+ x 1) 1/2) (sqrt x)) (- (+ 1 y) y))) (* (+ (pow (+ x 1) 1/2) (sqrt x)) (+ (sqrt (+ 1 y)) (sqrt y))))
(+ (* (- (+ x 1) x) (+ (sqrt (+ 1 y)) (sqrt y))) (* (+ (pow (+ x 1) 1/2) (sqrt x)) (- (+ 1 y) y)))
(* (- (+ x 1) x) (+ (sqrt (+ 1 y)) (sqrt y)))
(- (+ x 1) x)
(+ x 1)
x
1
(+ (sqrt (+ 1 y)) (sqrt y))
(sqrt (+ 1 y))
(+ 1 y)
y
(sqrt y)
(* (+ (pow (+ x 1) 1/2) (sqrt x)) (- (+ 1 y) y))
(+ (pow (+ x 1) 1/2) (sqrt x))
(pow (+ x 1) 1/2)
1/2
(sqrt x)
(- (+ 1 y) y)
(* (+ (pow (+ x 1) 1/2) (sqrt x)) (+ (sqrt (+ 1 y)) (sqrt y)))
(- (sqrt (+ z 1)) (sqrt z))
(sqrt (+ z 1))
(+ z 1)
z
(sqrt z)
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(sqrt (+ 1 y))
(+ 1 y)
1
y
(- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))
(- (sqrt (+ 1 x)) (sqrt x))
(sqrt (+ 1 x))
(+ 1 x)
x
(sqrt x)
(sqrt y)
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(+ (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt x) (sqrt z)) (sqrt y)))
(+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z)))
(+ 1 (sqrt (+ 1 y)))
1
(sqrt (+ 1 y))
(+ 1 y)
y
(sqrt (+ 1 z))
(+ 1 z)
z
(+ (+ (sqrt x) (sqrt z)) (sqrt y))
(+ (sqrt x) (sqrt z))
(sqrt x)
x
(sqrt z)
(sqrt y)
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
x
1
(sqrt x)
(+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))))
(- (sqrt (+ 1 y)) (sqrt y))
(sqrt (+ 1 y))
(+ 1 y)
y
(sqrt y)
(+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))
(* 1/2 (sqrt (/ 1 z)))
1/2
(sqrt (/ 1 z))
(/ 1 z)
z
(- (sqrt (+ 1 t)) (sqrt t))
(sqrt (+ 1 t))
(+ 1 t)
t
(sqrt t)
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
x
1
(sqrt x)
(- (sqrt (+ y 1)) (sqrt y))
(sqrt (+ y 1))
(+ y 1)
y
(sqrt y)
(- (sqrt (+ z 1)) (sqrt z))
(sqrt (+ z 1))
(+ z 1)
z
(sqrt z)
(/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t))))
(- (+ 1 t) t)
(+ 1 t)
t
(+ (sqrt t) (sqrt (+ 1 t)))
(sqrt t)
(sqrt (+ 1 t))

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

localize1.1s (3.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	71.4%	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓	accuracy	33.6%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	10.3%	(-.f64 (+.f64 #s(literal 1 binary64) t) t)
✓	accuracy	99.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	94.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	71.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
✓	accuracy	10.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
✓	accuracy	99.9%	(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))
✓	accuracy	38.8%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
✓	accuracy	10.4%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	100.0%	(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))
✓	accuracy	94.2%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
✓	accuracy	75.7%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y)))
✓	accuracy	10.4%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	95.5%	(-.f64 (+.f64 x #s(literal 1 binary64)) x)
✓	accuracy	72.8%	(-.f64 (+.f64 #s(literal 1 binary64) y) y)
✓	accuracy	33.6%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	10.4%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

927.0ms	238×	1	valid
19.0ms	18×	0	valid

Compiler

Compiled 824 to 67 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 400.0ms

ival-add: 92.0ms (23% of total)

backward-pass: 85.0ms (21.3% of total)

ival-pow: 83.0ms (20.8% of total)

ival-sqrt: 65.0ms (16.3% of total)

ival-sub: 31.0ms (7.8% of total)

ival-div: 28.0ms (7% of total)

ival-mult: 14.0ms (3.5% of total)

const: 1.0ms (0.3% of total)

series62.0ms (0.2%)

Counts

29 → 624

Calls

Call 1

Inputs
#<alt (- (+ x 1) x)>
#<alt (- (+ 1 y) y)>
#<alt (* (- (+ x 1) x) (+ (sqrt (+ 1 y)) (sqrt y)))>
#<alt (* (+ (pow (+ x 1) 1/2) (sqrt x)) (- (+ 1 y) y))>
#<alt (+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))>
#<alt (sqrt (+ 1 y))>
#<alt (+ 1 y)>
#<alt (+ (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt x) (sqrt z)) (sqrt y)))>
#<alt (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z)))>
#<alt (+ 1 (sqrt (+ 1 y)))>
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))))>
#<alt (- (sqrt (+ x 1)) (sqrt x))>
#<alt (sqrt (+ x 1))>
#<alt (+ x 1)>
#<alt (- (+ 1 t) t)>
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))))>
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))>
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))>
#<alt (- (sqrt (+ t 1)) (sqrt t))>
#<alt (- (sqrt (+ z 1)) (sqrt z))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))>
#<alt (+ (+ (sqrt x) (sqrt z)) (sqrt y))>
#<alt (- (sqrt (+ 1 t)) (sqrt t))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
#<alt (sqrt (/ 1 z))>
#<alt (- (sqrt (+ y 1)) (sqrt y))>

Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ (sqrt y) (sqrt (+ 1 y)))>
#<alt (+ 1 (sqrt y))>
#<alt (+ 1 (+ (sqrt y) (* 1/2 y)))>
#<alt (+ 1 (+ (sqrt y) (* y (+ 1/2 (* -1/8 y)))))>
#<alt (+ 1 (+ (sqrt y) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))>
#<alt (* 2 (sqrt y))>
#<alt (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (sqrt (/ 1 y)))))>
#<alt (* y (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (sqrt (/ 1 y))))))>
#<alt (* y (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (sqrt (/ 1 y)))))))>
#<alt (* -2 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))>
#<alt (+ 1 (sqrt x))>
#<alt (+ 1 (+ (sqrt x) (* 1/2 x)))>
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))>
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))>
#<alt (* 2 (sqrt x))>
#<alt (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))>
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (+ (sqrt x) (sqrt (+ 1 x)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 x))) (+ (sqrt t) (sqrt x)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt x)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt x)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (sqrt x)))>
#<alt (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 x))) (+ (sqrt t) (sqrt x)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt x)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt t) (sqrt x)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt t) (sqrt x)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 y))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 y))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (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 t) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 t)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (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))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 t))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (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)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))>
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y))>
#<alt (- (+ (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))>
#<alt 1>
#<alt (+ 1 (* 1/2 y))>
#<alt (+ 1 (* y (+ 1/2 (* -1/8 y))))>
#<alt (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))>
#<alt (sqrt y)>
#<alt (* y (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3))))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
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#<alt (* -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))>
#<alt (- 1 (sqrt z))>
#<alt (- (+ 1 (* 1/2 z)) (sqrt z))>
#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))>
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))>
#<alt (* 1/2 (sqrt (/ 1 z)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)>
#<alt (* -1/2 (sqrt (/ 1 z)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (- 1 (sqrt x))>
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))>
#<alt (* -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))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))>
#<alt (- 1 (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (* 1/2 x)) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (+ (sqrt x) (sqrt y)))>
#<alt (* -1 (sqrt y))>
#<alt (- (* 1/2 (sqrt (/ 1 x))) (sqrt y))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))>
#<alt (* -1 (sqrt y))>
#<alt (- (* -1/2 (sqrt (/ 1 x))) (sqrt y))>
#<alt (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (sqrt y))>
#<alt (- (* -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))>
#<alt (- (sqrt (+ 1 x)) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 x)) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 x)) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 x)) (+ (sqrt x) (sqrt y)))>
#<alt (* -1 (sqrt y))>
#<alt (* y (- (* (/ 1 y) (sqrt (+ 1 x))) (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))))>
#<alt (* y (- (* (/ 1 y) (sqrt (+ 1 x))) (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))))>
#<alt (* y (- (* (/ 1 y) (sqrt (+ 1 x))) (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))))>
#<alt (* (sqrt y) (pow (sqrt -1) 2))>
#<alt (* -1 (* y (- (* -1 (/ (- (sqrt (+ 1 x)) (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (- (* -1 (/ (- (sqrt (+ 1 x)) (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (- (* -1 (/ (- (sqrt (+ 1 x)) (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (sqrt z)>
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))>
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))>
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))>
#<alt (sqrt y)>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (- 1 (sqrt t))>
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))>
#<alt (* 1/2 (sqrt (/ 1 t)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)>
#<alt (* -1/2 (sqrt (/ 1 t)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (- 1 (sqrt y))>
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)>
#<alt (* -1/2 (sqrt (/ 1 y)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))>
#<alt (- 1 (sqrt y))>
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)>
#<alt (* -1/2 (sqrt (/ 1 y)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))>

Calls

156 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))))
2.0ms	y	@	0	(+ (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
2.0ms	z	@	0	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))))
1.0ms	t	@	0	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))))
1.0ms	z	@	-inf	(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))))

rewrite399.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3166×	`-lowering-.f32`
3166×	`-lowering-.f64`
2750×	`/-lowering-/.f32`
2750×	`/-lowering-/.f64`
2544×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	322
1	612	300
2	7447	299
0	8579	299

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 723

Calls

Call 1

Inputs
(- (+ x 1) x)
(- (+ 1 y) y)
(* (- (+ x 1) x) (+ (sqrt (+ 1 y)) (sqrt y)))
(* (+ (pow (+ x 1) 1/2) (sqrt x)) (- (+ 1 y) y))
(+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(sqrt (+ 1 y))
(+ 1 y)
(+ (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt x) (sqrt z)) (sqrt y)))
(+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z)))
(+ 1 (sqrt (+ 1 y)))
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
(- (+ 1 t) t)
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 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 (+ t 1)) (sqrt t))
(- (sqrt (+ z 1)) (sqrt z))
(- (sqrt (+ 1 x)) (sqrt x))
(- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))
(+ (+ (sqrt x) (sqrt z)) (sqrt y))
(- (sqrt (+ 1 t)) (sqrt t))
(- (sqrt (+ 1 y)) (sqrt y))
(sqrt (/ 1 z))
(- (sqrt (+ y 1)) (sqrt y))

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

simplify441.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

6994×	`+-lowering-+.f64`
6994×	`+-lowering-+.f32`
2216×	`-lowering-.f32`
2216×	`-lowering-.f64`
2078×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1296	12161
1	4657	11182
0	8532	11182

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+ 1 (sqrt y))
(+ 1 (+ (sqrt y) (* 1/2 y)))
(+ 1 (+ (sqrt y) (* y (+ 1/2 (* -1/8 y)))))
(+ 1 (+ (sqrt y) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))
(* 2 (sqrt y))
(* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (sqrt (/ 1 y)))))
(* y (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (sqrt (/ 1 y))))))
(* y (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (sqrt (/ 1 y)))))))
(* -2 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (sqrt (+ 1 x))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (sqrt (+ 1 x))) (+ (sqrt t) (sqrt x)))
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(- (sqrt (+ 1 x)) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))
(- 1 (sqrt t))
(- (+ 1 (* 1/2 t)) (sqrt t))
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))
(* 1/2 (sqrt (/ 1 t)))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
(* -1/2 (sqrt (/ 1 t)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(* -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 (/ (+ (* -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))
(- 1 (sqrt z))
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(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
(* 1/2 (sqrt (/ 1 z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)
(* -1/2 (sqrt (/ 1 z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(* -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))
(* -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))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -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))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(- 1 (+ (sqrt x) (sqrt y)))
(- (+ 1 (* 1/2 x)) (+ (sqrt x) (sqrt y)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (+ (sqrt x) (sqrt y)))
(* -1 (sqrt y))
(- (* 1/2 (sqrt (/ 1 x))) (sqrt y))
(- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))
(- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))
(* -1 (sqrt y))
(- (* -1/2 (sqrt (/ 1 x))) (sqrt y))
(- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (sqrt 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))
(- (sqrt (+ 1 x)) (+ (sqrt x) (sqrt y)))
(- (sqrt (+ 1 x)) (+ (sqrt x) (sqrt y)))
(- (sqrt (+ 1 x)) (+ (sqrt x) (sqrt y)))
(- (sqrt (+ 1 x)) (+ (sqrt x) (sqrt y)))
(* -1 (sqrt y))
(* y (- (* (/ 1 y) (sqrt (+ 1 x))) (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))))
(* y (- (* (/ 1 y) (sqrt (+ 1 x))) (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))))
(* y (- (* (/ 1 y) (sqrt (+ 1 x))) (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))))
(* (sqrt y) (pow (sqrt -1) 2))
(* -1 (* y (- (* -1 (/ (- (sqrt (+ 1 x)) (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (- (* -1 (/ (- (sqrt (+ 1 x)) (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (- (* -1 (/ (- (sqrt (+ 1 x)) (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(sqrt z)
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))
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(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
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(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
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(- 1 (sqrt t))
(- (+ 1 (* 1/2 t)) (sqrt t))
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))
(* 1/2 (sqrt (/ 1 t)))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
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(* -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 (/ (+ (* -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))
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(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))
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(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(* -1/2 (sqrt (/ 1 y)))
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(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(- 1 (sqrt y))
(- (+ 1 (* 1/2 y)) (sqrt y))
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))
(* 1/2 (sqrt (/ 1 y)))
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(* -1/2 (sqrt (/ 1 y)))
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(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))

Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
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(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+ (sqrt y) (sqrt (+ 1 y)))
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(+ (sqrt y) (sqrt (+ 1 y)))
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+ (sqrt y) (sqrt (+ 1 y)))
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
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(* y (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (sqrt (/ 1 y)))))))
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(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) (neg.f64 y))

eval391.0ms (1.3%)

Compiler: Compiled 97867 to 6481 computations (93.4% saved)

prune432.0ms (1.4%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	1917	31	1948
Fresh	16	2	18
Picked	5	0	5
Done	0	0	0
Total	1938	33	1971

Accuracy

98.7%

Counts

1971 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
	38.5%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (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 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
	49.4%	(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
▶	1.9%	(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
	69.4%	(+.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	6.4%	(+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
	66.7%	(+.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
	30.4%	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	26.2%	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	47.2%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	40.1%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
	35.1%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
▶	37.3%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	38.2%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	27.1%	(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	67.6%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
	85.1%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
▶	30.6%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
	35.3%	(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	3.0%	(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	41.1%	(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.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)))
▶	91.0%	(+.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 #s(literal 1 binary64) z) z) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
	90.8%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	48.8%	(+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	49.5%	(+.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	49.3%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	30.3%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	63.9%	(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
	38.7%	(+.f64 (.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	10.8%	(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
	63.6%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	57.6%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
	8.0%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))

Compiler

Compiled 2146 to 1440 computations (32.9% saved)

simplify248.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
✓	cost-diff	0	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓	cost-diff	128	(.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
✓	cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	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 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
✓	cost-diff	128	(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
✓	cost-diff	0	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
✓	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 #s(literal 1 binary64) z) z) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
✓	cost-diff	64	(pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) t) t)
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) z) z)

Rules

4212×	`+-lowering-+.f64`
4212×	`+-lowering-+.f32`
2046×	`--lowering--.f32`
2046×	`--lowering--.f64`
1796×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	537
1	176	509
2	635	494
3	3699	491
0	8047	491

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (pow (+ 1 z) 1/2) (sqrt z)))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (pow (+ 1 z) 1/2) (sqrt z))))
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
x
1
(sqrt x)
(- (sqrt (+ y 1)) (sqrt y))
(sqrt (+ y 1))
(+ y 1)
y
(sqrt y)
(/ (- (+ 1 z) z) (+ (pow (+ 1 z) 1/2) (sqrt z)))
(- (+ 1 z) z)
(+ 1 z)
z
(+ (pow (+ 1 z) 1/2) (sqrt z))
(pow (+ 1 z) 1/2)
1/2
(sqrt z)
(/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t))))
(- (+ 1 t) t)
(+ 1 t)
t
(+ (sqrt t) (sqrt (+ 1 t)))
(sqrt t)
(sqrt (+ 1 t))
(- 0 (sqrt x))
0
(sqrt x)
x
(+ (+ (sqrt (+ 1 x)) (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (sqrt (+ 1 x)) (- (* 1/2 (sqrt (/ 1 y))) (sqrt x)))
(sqrt (+ 1 x))
(+ 1 x)
1
x
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(* 1/2 (sqrt (/ 1 y)))
1/2
(sqrt (/ 1 y))
(/ 1 y)
y
(sqrt x)
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
x
1
(sqrt x)
(+ (* 1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))))
(* 1/2 (sqrt (/ 1 y)))
1/2
(sqrt (/ 1 y))
(/ 1 y)
y
(+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))
(* 1/2 (sqrt (/ 1 z)))
(sqrt (/ 1 z))
(/ 1 z)
z
(- (sqrt (+ 1 t)) (sqrt t))
(sqrt (+ 1 t))
(+ 1 t)
t
(sqrt t)
(+ (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))) (- (sqrt (+ t 1)) (sqrt t)))
(- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x))))))
(+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z)))
(+ 1 (sqrt (+ 1 y)))
1
(sqrt (+ 1 y))
(+ 1 y)
y
(sqrt (+ 1 z))
(+ 1 z)
z
(* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))
(+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x))))
(sqrt (/ 1 z))
(/ 1 z)
(* (/ 1 z) (+ (sqrt y) (sqrt x)))
(+ (sqrt y) (sqrt x))
(sqrt y)
(sqrt x)
x
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)

Outputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (pow (+ 1 z) 1/2) (sqrt z)))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (pow (+ 1 z) 1/2) (sqrt z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(- (sqrt (+ x 1)) (sqrt x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt (+ x 1))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
(- (sqrt (+ y 1)) (sqrt y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt (+ y 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ y 1)
(+.f64 #s(literal 1 binary64) y)
y
(sqrt y)
(sqrt.f64 y)
(/ (- (+ 1 z) z) (+ (pow (+ 1 z) 1/2) (sqrt z)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(- (+ 1 z) z)
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
z
(+ (pow (+ 1 z) 1/2) (sqrt z))
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(pow (+ 1 z) 1/2)
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
1/2
#s(literal 1/2 binary64)
(sqrt z)
(sqrt.f64 z)
(/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))
(- (+ 1 t) t)
#s(literal 1 binary64)
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
t
(+ (sqrt t) (sqrt (+ 1 t)))
(+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))
(sqrt t)
(sqrt.f64 t)
(sqrt (+ 1 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(- 0 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
0
#s(literal 0 binary64)
(sqrt x)
(sqrt.f64 x)
x
(+ (+ (sqrt (+ 1 x)) (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+ (sqrt (+ 1 x)) (- (* 1/2 (sqrt (/ 1 y))) (sqrt x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(sqrt (+ 1 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
x
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))
(* 1/2 (sqrt (/ 1 y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
1/2
#s(literal 1/2 binary64)
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(sqrt x)
(sqrt.f64 x)
(- (sqrt (+ t 1)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt (+ t 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ t 1)
(+.f64 #s(literal 1 binary64) t)
t
(sqrt t)
(sqrt.f64 t)
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(- (sqrt (+ x 1)) (sqrt x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt (+ x 1))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
(+ (* 1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(* 1/2 (sqrt (/ 1 y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
1/2
#s(literal 1/2 binary64)
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(* 1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
z
(- (sqrt (+ 1 t)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt (+ 1 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
t
(sqrt t)
(sqrt.f64 t)
(+ (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x))))))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(+ 1 (sqrt (+ 1 y)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
1
#s(literal 1 binary64)
(sqrt (+ 1 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(sqrt (+ 1 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
z
(* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))
(+.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* (/ 1 z) (+ (sqrt y) (sqrt x)))
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) z)
(+ (sqrt y) (sqrt x))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt y)
(sqrt.f64 y)
(sqrt x)
(sqrt.f64 x)
x
(- (sqrt (+ t 1)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt (+ t 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ t 1)
(+.f64 #s(literal 1 binary64) t)
t
(sqrt t)
(sqrt.f64 t)

localize920.0ms (3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓	accuracy	38.8%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
✓	accuracy	10.4%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	99.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	94.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	10.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))
✓	accuracy	99.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
✓	accuracy	94.2%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
✓	accuracy	10.4%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	94.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	71.4%	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓	accuracy	34.5%	(-.f64 (+.f64 #s(literal 1 binary64) z) z)
✓	accuracy	10.3%	(-.f64 (+.f64 #s(literal 1 binary64) t) t)

Results

642.0ms	238×	1	valid
24.0ms	18×	0	valid

Compiler

Compiled 598 to 61 computations (89.8% saved)

Precisions

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

ival-add: 70.0ms (19.7% of total)

ival-sub: 63.0ms (17.7% of total)

ival-sqrt: 59.0ms (16.6% of total)

backward-pass: 53.0ms (14.9% of total)

ival-pow: 48.0ms (13.5% of total)

ival-div: 47.0ms (13.2% of total)

ival-mult: 15.0ms (4.2% of total)

const: 1.0ms (0.3% of total)

series48.0ms (0.2%)

Counts

24 → 540

Calls

Call 1

Inputs
#<alt (- (+ 1 z) z)>
#<alt (- (+ 1 t) t)>
#<alt (pow (+ 1 z) 1/2)>
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (pow (+ 1 z) 1/2) (sqrt z)))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))))>
#<alt (- 0 (sqrt x))>
#<alt (sqrt x)>
#<alt (+ (+ (sqrt (+ 1 x)) (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (sqrt (+ 1 x)) (- (* 1/2 (sqrt (/ 1 y))) (sqrt x)))>
#<alt (sqrt (+ 1 x))>
#<alt (+ 1 x)>
#<alt (+ (* 1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))))>
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))))>
#<alt (- (sqrt (+ x 1)) (sqrt x))>
#<alt (sqrt (+ x 1))>
#<alt (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))>
#<alt (* (/ 1 z) (+ (sqrt y) (sqrt x)))>
#<alt (+ (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x))))))>
#<alt (- (sqrt (+ y 1)) (sqrt y))>
#<alt (- (sqrt (+ t 1)) (sqrt t))>
#<alt (sqrt (/ 1 y))>
#<alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))>
#<alt (- (sqrt (+ 1 t)) (sqrt t))>
#<alt (sqrt (/ 1 z))>

Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (+ 1 (* 1/2 z))>
#<alt (+ 1 (* z (+ 1/2 (* -1/8 z))))>
#<alt (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))>
#<alt (sqrt z)>
#<alt (* z (+ (sqrt (/ 1 z)) (* 1/2 (sqrt (/ 1 (pow z 3))))))>
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 (pow z 3)))))))>
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 7)))) (* 1/2 (sqrt (/ 1 (pow z 3))))))))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt y))>
#<alt (- (+ (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)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt y))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 y))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (/ 1 (+ 1 (sqrt z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (+ (/ 1 (+ 1 (sqrt z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (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))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (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))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3)))))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt y)))>
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#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (* 1/2 z))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y)))>
#<alt (* -1 (* z (- (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (/ (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) x))))>
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (/ (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) x))))>
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (/ (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) x))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (- 1 (sqrt y))>
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)>
#<alt (* -1/2 (sqrt (/ 1 y)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))>
#<alt (- 1 (sqrt t))>
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))>
#<alt (* 1/2 (sqrt (/ 1 t)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)>
#<alt (* -1/2 (sqrt (/ 1 t)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
#<alt (/ (+ (* -1 (* (sqrt x) y)) (* 1/2 (sqrt y))) y)>
#<alt (/ (+ (* -1 (* (sqrt x) y)) (* 1/2 (sqrt y))) y)>
#<alt (/ (+ (* -1 (* (sqrt x) y)) (* 1/2 (sqrt y))) y)>
#<alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))>
#<alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))>
#<alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))>
#<alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))>
#<alt (- (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) (sqrt x))>
#<alt (- (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) (sqrt x))>
#<alt (- (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) (sqrt x))>
#<alt (- (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) (sqrt x))>
#<alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))>
#<alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))>
#<alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))>
#<alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (* 1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (sqrt (/ 1 x))))>
#<alt (* x (- (* 1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (sqrt (/ 1 x))))>
#<alt (* x (- (* 1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (sqrt (/ 1 x))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (- 1 (sqrt t))>
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))>
#<alt (* 1/2 (sqrt (/ 1 t)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)>
#<alt (* -1/2 (sqrt (/ 1 t)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))>

Calls

135 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))
2.0ms	z	@	inf	(+ (* 1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))))
2.0ms	z	@	-inf	(+ (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	z	@	0	(* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))
1.0ms	z	@	0	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (pow (+ 1 z) 1/2) (sqrt z)))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))))

rewrite496.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2924×	`-lowering-.f32`
2924×	`-lowering-.f64`
2476×	`/-lowering-/.f32`
2476×	`/-lowering-/.f64`
2284×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	266
1	571	227
2	7038	227
0	8081	227

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 477

Calls

Call 1

Inputs
(- (+ 1 z) z)
(- (+ 1 t) t)
(pow (+ 1 z) 1/2)
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (pow (+ 1 z) 1/2) (sqrt z)))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))))
(- 0 (sqrt x))
(sqrt x)
(+ (+ (sqrt (+ 1 x)) (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (sqrt (+ 1 x)) (- (* 1/2 (sqrt (/ 1 y))) (sqrt x)))
(sqrt (+ 1 x))
(+ 1 x)
(+ (* 1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))))
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))
(* (/ 1 z) (+ (sqrt y) (sqrt x)))
(+ (- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x)))))) (- (sqrt (+ t 1)) (sqrt t)))
(- (+ (+ 1 (sqrt (+ 1 y))) (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt y) (sqrt x))))))
(- (sqrt (+ y 1)) (sqrt y))
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (/ 1 y))
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(- (sqrt (+ 1 t)) (sqrt t))
(sqrt (/ 1 z))

Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 z)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)))
(pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 z)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)))
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (-.f64 (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
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(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
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(/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t)))) #s(literal 1 binary64)) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t))))))
(/.f64 (.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 t (+.f64 #s(literal 1 binary64) t))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) t)) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
(/.f64 (.f64 (.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (*.f64 t (+.f64 #s(literal 1 binary64) t))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) t) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) #s(literal 3 binary64)) (pow.f64 (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) (+.f64 (.f64 (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) (.f64 (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t)))))
(/.f64 (.f64 (.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 t (+.f64 #s(literal 1 binary64) t)))
(pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (.f64 t (+.f64 #s(literal 1 binary64) t))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)))) (-.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (.f64 t (+.f64 #s(literal 1 binary64) t)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) z)))
(pow.f64 z #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)))

simplify415.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

5636×	`+-lowering-+.f64`
5636×	`+-lowering-+.f32`
2650×	`-lowering-.f32`
2650×	`-lowering-.f64`
1964×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1066	10530
1	3785	9445
0	8226	9445

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(+ 1 (* 1/2 z))
(+ 1 (* z (+ 1/2 (* -1/8 z))))
(+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))
(sqrt z)
(* z (+ (sqrt (/ 1 z)) (* 1/2 (sqrt (/ 1 (pow z 3))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 (pow z 3)))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 7)))) (* 1/2 (sqrt (/ 1 (pow z 3))))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt y))
(- (+ (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)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt y))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 y))) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (+ (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (/ 1 (+ 1 (sqrt z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (+ (/ 1 (+ 1 (sqrt z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (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))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (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))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3)))))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (/ 1 (+ 1 (sqrt t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ t (pow (+ 1 (sqrt t)) 2))) (+ (/ 1 (+ 1 (sqrt t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* t (- (* t (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt t)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt t)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt t)) 2))))) (+ (/ 1 (+ 1 (sqrt t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* t (- (* t (+ (* -1 (* t (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt t)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt t)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt t)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt t)) 3)))) (+ 1 (sqrt t)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt t)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt t)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt t)) 2))))) (+ (/ 1 (+ 1 (sqrt t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ (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)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow t 3)))))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ (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)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -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)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (+ 1 (+ (sqrt (+ 1 t)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt t) (sqrt x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (* 1/2 (sqrt (/ 1 y)))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (* 1/2 (sqrt (/ 1 y)))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt (/ 1 y))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -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)) (* 1/2 (sqrt (/ 1 y))))) (sqrt t))
(* 1/2 (sqrt (/ 1 y)))
(/ (+ (* 1/2 (sqrt y)) (* y (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 x))) (+ (sqrt t) (sqrt x))))) y)
(/ (+ (* 1/2 (sqrt y)) (* y (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 x))) (+ (sqrt t) (sqrt x))))) y)
(/ (+ (* 1/2 (sqrt y)) (* y (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 x))) (+ (sqrt t) (sqrt x))))) y)
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt x)))
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(/ (+ (sqrt x) (sqrt y)) z)
(/ (+ (sqrt x) (sqrt y)) z)
(/ (+ (sqrt x) (sqrt y)) z)
(* (sqrt y) (/ 1 z))
(* y (+ (* (sqrt x) (/ 1 (* y z))) (* (sqrt (/ 1 y)) (/ 1 z))))
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(* x (+ (* (sqrt (/ 1 x)) (/ 1 z)) (* (/ 1 (* x z)) (sqrt y))))
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(* -1 (* z (- (+ (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (- (+ (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (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)))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
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(* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (/ (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) x)))))
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(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(- (+ 2 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))))
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(- (+ 2 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))))
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (sqrt t) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 1 (+ (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)))))))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 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))))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 2 (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 y))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 2 (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 2 (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 1 (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (sqrt x) (/ 1 z)))))
(- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (* z (+ (sqrt (/ 1 z)) (* (sqrt x) (/ 1 z)))))
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (* z (+ (sqrt (/ 1 z)) (* (sqrt x) (/ 1 z)))))
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (* z (+ (sqrt (/ 1 z)) (* (sqrt x) (/ 1 z)))))
(- (+ 1 (sqrt (+ 1 z))) (* z (+ (sqrt (/ 1 z)) (* (sqrt x) (/ 1 z)))))
(- (+ 1 (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (* z (+ (sqrt (/ 1 z)) (* (sqrt x) (/ 1 z)))))
(- (+ 1 (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (* z (+ (sqrt (/ 1 z)) (* (sqrt x) (/ 1 z)))))
(- (+ 1 (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (* z (+ (sqrt (/ 1 z)) (* (sqrt x) (/ 1 z)))))
(- (+ 2 (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 2 (+ (sqrt (+ 1 y)) (* 1/2 z))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y)))
(* -1 (* z (- (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (- (+ (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (- (+ (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (- (+ (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))
(* -1 (sqrt x))
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (/ (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) x))))
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (/ (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) x))))
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (/ (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) x))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(- 1 (sqrt y))
(- (+ 1 (* 1/2 y)) (sqrt y))
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))
(* 1/2 (sqrt (/ 1 y)))
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(* -1/2 (sqrt (/ 1 y)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))
(- 1 (sqrt t))
(- (+ 1 (* 1/2 t)) (sqrt t))
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))
(* 1/2 (sqrt (/ 1 t)))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
(* -1/2 (sqrt (/ 1 t)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(* -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 (/ (+ (* -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))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* 1/2 (sqrt (/ 1 y)))
(/ (+ (* -1 (* (sqrt x) y)) (* 1/2 (sqrt y))) y)
(/ (+ (* -1 (* (sqrt x) y)) (* 1/2 (sqrt y))) y)
(/ (+ (* -1 (* (sqrt x) y)) (* 1/2 (sqrt y))) y)
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(- (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) (sqrt x))
(- (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) (sqrt x))
(- (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) (sqrt x))
(- (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) (sqrt x))
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(* -1 (sqrt x))
(* x (- (* 1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (sqrt (/ 1 x))))
(* x (- (* 1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (sqrt (/ 1 x))))
(* x (- (* 1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (sqrt (/ 1 x))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(- 1 (sqrt t))
(- (+ 1 (* 1/2 t)) (sqrt t))
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))
(* 1/2 (sqrt (/ 1 t)))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
(* -1/2 (sqrt (/ 1 t)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(* -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 (/ (+ (* -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))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))

Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 z))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))
(+ 1 (* z (+ 1/2 (* -1/8 z))))
(+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal -1/8 binary64)))))
(+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))
(+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))
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(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))

eval197.0ms (0.6%)

Compiler: Compiled 49948 to 3504 computations (93% saved)

prune205.0ms (0.7%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	1222	16	1238
Fresh	9	19	28
Picked	5	0	5
Done	0	0	0
Total	1236	35	1271

Accuracy

100.0%

Counts

1271 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.7%	(/.f64 (+.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 3 binary64))))) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))))
	48.8%	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
	75.5%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	38.5%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (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 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
▶	49.4%	(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
▶	32.1%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
	31.9%	(+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
	69.4%	(+.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	7.9%	(+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
▶	30.4%	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	26.2%	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	40.1%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
	35.1%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
	38.2%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	27.1%	(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	67.6%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
▶	85.1%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
	33.0%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
	30.6%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
	3.0%	(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	48.8%	(+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	7.7%	(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	49.5%	(+.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	49.3%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	28.7%	(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	12.1%	(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
	12.2%	(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
	84.8%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	63.6%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	30.3%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
	57.6%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
	7.9%	(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
	8.0%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
	8.0%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
▶	1.9%	(neg.f64 (sqrt.f64 x))

Compiler

Compiled 2150 to 1380 computations (35.8% saved)

simplify262.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64))))))
✓	cost-diff	0	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
✓	cost-diff	0	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
✓	cost-diff	128	(.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓	cost-diff	-64	(neg.f64 (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))

Rules

3910×	`+-lowering-+.f64`
3910×	`+-lowering-+.f32`
3162×	`fma-lowering-fma.f32`
3162×	`fma-lowering-fma.f64`
1866×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	417
1	158	403
2	620	396
3	3184	395
4	7793	395
0	8439	395

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ 1 z)) (sqrt z))))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
x
1
(sqrt x)
(+ (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ 1 z)) (sqrt z)))
(- (sqrt (+ 1 y)) (sqrt y))
(sqrt (+ 1 y))
(+ 1 y)
y
(sqrt y)
(- (sqrt (+ 1 z)) (sqrt z))
(sqrt (+ 1 z))
(+ 1 z)
z
(sqrt z)
(neg (sqrt x))
(sqrt x)
x
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt x)))
(+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))
(sqrt (+ 1 y))
(+ 1 y)
1
y
(sqrt (+ 1 x))
(+ 1 x)
x
(+ (sqrt y) (sqrt x))
(sqrt y)
(sqrt x)
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt x) (sqrt y))))))
(+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))
1
(+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))
(sqrt (+ 1 y))
(+ 1 y)
y
(sqrt (+ 1 z))
(+ 1 z)
z
(* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt x) (sqrt y)))))
(+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt x) (sqrt y))))
(sqrt (/ 1 z))
(/ 1 z)
(* (/ 1 z) (+ (sqrt x) (sqrt y)))
(+ (sqrt x) (sqrt y))
(sqrt x)
x
(sqrt y)
(+ (- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y)))
(+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8)))))
(+ (sqrt (+ 1 y)) 2)
(sqrt (+ 1 y))
(+ 1 y)
1
y
2
(* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))
z
(+ 1/2 (* z (+ (* 1/16 z) -1/8)))
1/2
(* z (+ (* 1/16 z) -1/8))
(+ (* 1/16 z) -1/8)
(* 1/16 z)
1/16
-1/8
(+ (+ (sqrt x) (sqrt z)) (sqrt y))
(+ (sqrt x) (sqrt z))
(sqrt x)
x
(sqrt z)
(sqrt y)
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)

Outputs
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ 1 z)) (sqrt z))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 x))))
(- (sqrt (+ x 1)) (sqrt x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt (+ x 1))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
(+ (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ 1 z)) (sqrt z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 y)))
(- (sqrt (+ 1 y)) (sqrt y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt (+ 1 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(sqrt y)
(sqrt.f64 y)
(- (sqrt (+ 1 z)) (sqrt z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt (+ 1 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
z
(sqrt z)
(sqrt.f64 z)
(neg (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
x
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt (+ 1 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(sqrt (+ 1 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(+ (sqrt y) (sqrt x))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt y)
(sqrt.f64 y)
(sqrt x)
(sqrt.f64 x)
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt x) (sqrt y))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
1
#s(literal 1 binary64)
(+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(sqrt (+ 1 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(sqrt (+ 1 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
z
(* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt x) (sqrt y)))))
(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt x) (sqrt y))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* (/ 1 z) (+ (sqrt x) (sqrt y)))
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) z)
(+ (sqrt x) (sqrt y))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt x)
(sqrt.f64 x)
x
(sqrt y)
(sqrt.f64 y)
(+ (- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
(- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y)))
(+.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))
(+ (sqrt (+ 1 y)) 2)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(sqrt (+ 1 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
2
#s(literal 2 binary64)
(* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))
(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
z
(+ 1/2 (* z (+ (* 1/16 z) -1/8)))
(+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))
1/2
#s(literal 1/2 binary64)
(* z (+ (* 1/16 z) -1/8))
(.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))
(+ (* 1/16 z) -1/8)
(+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(* 1/16 z)
(*.f64 z #s(literal 1/16 binary64))
1/16
#s(literal 1/16 binary64)
-1/8
#s(literal -1/8 binary64)
(+ (+ (sqrt x) (sqrt z)) (sqrt y))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (sqrt z))
(+.f64 (sqrt.f64 x) (sqrt.f64 z))
(sqrt x)
(sqrt.f64 x)
x
(sqrt z)
(sqrt.f64 z)
(sqrt y)
(sqrt.f64 y)
(- (sqrt (+ t 1)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt (+ t 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ t 1)
(+.f64 #s(literal 1 binary64) t)
t
(sqrt t)
(sqrt.f64 t)

localize792.0ms (2.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
✓	accuracy	99.9%	(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))
✓	accuracy	99.9%	(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))
✓	accuracy	10.4%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	99.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	99.6%	(.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
✓	accuracy	38.8%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 y) (sqrt.f64 x))
✓	accuracy	75.7%	(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(neg.f64 (sqrt.f64 x))
✓	accuracy	99.9%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
✓	accuracy	94.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	71.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
✓	accuracy	33.6%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))

Results

376.0ms	122×	2	valid
243.0ms	117×	1	valid
18.0ms	17×	0	valid

Compiler

Compiled 444 to 54 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 326.0ms

ival-sqrt: 124.0ms (38% of total)

backward-pass: 75.0ms (23% of total)

ival-add: 72.0ms (22.1% of total)

ival-sub: 24.0ms (7.4% of total)

ival-mult: 19.0ms (5.8% of total)

ival-div: 7.0ms (2.1% of total)

ival-neg: 3.0ms (0.9% of total)

const: 2.0ms (0.6% of total)

series29.0ms (0.1%)

Counts

25 → 540

Calls

Call 1

Inputs
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ 1 z)) (sqrt z))))>
#<alt (- (sqrt (+ x 1)) (sqrt x))>
#<alt (sqrt (+ x 1))>
#<alt (+ x 1)>
#<alt (sqrt x)>
#<alt (neg (sqrt x))>
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt x)))>
#<alt (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))>
#<alt (sqrt (+ 1 y))>
#<alt (+ 1 y)>
#<alt (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt x) (sqrt y)))))>
#<alt (* (/ 1 z) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt x) (sqrt y))))))>
#<alt (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))>
#<alt (+ (- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y)))>
#<alt (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8)))))>
#<alt (+ (sqrt (+ 1 y)) 2)>
#<alt (- (sqrt (+ 1 z)) (sqrt z))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
#<alt (+ (sqrt y) (sqrt x))>
#<alt (sqrt (/ 1 z))>
#<alt (- (sqrt (+ t 1)) (sqrt t))>
#<alt (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))>
#<alt (+ (+ (sqrt x) (sqrt z)) (sqrt y))>

Outputs
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (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)))>
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (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)))>
#<alt (- (+ (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)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (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)))>
#<alt (- (+ (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)))>
#<alt (- 1 (sqrt x))>
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))>
#<alt (* -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))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))>
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y))>
#<alt (- (+ (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))>
#<alt (+ 1 (sqrt (+ 1 x)))>
#<alt (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y)))>
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#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>

Calls

135 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8)))))
1.0ms	x	@	0	(+ (- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	z	@	inf	(+ (- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	z	@	-inf	(+ (- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
0.0ms	y	@	0	(+ (- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))

rewrite521.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2750×	`-lowering-.f32`
2750×	`-lowering-.f64`
2206×	`/-lowering-/.f32`
2206×	`/-lowering-/.f64`
2146×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	256
1	478	241
2	6042	240
0	8096	240

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 510

Calls

Call 1

Inputs
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (+ 1 z)) (sqrt z))))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
(sqrt x)
(neg (sqrt x))
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt x)))
(+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))
(sqrt (+ 1 y))
(+ 1 y)
(* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt x) (sqrt y)))))
(* (/ 1 z) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (* z (+ (sqrt (/ 1 z)) (* (/ 1 z) (+ (sqrt x) (sqrt y))))))
(+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))
(+ (- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(- (+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))) (+ (+ (sqrt x) (sqrt z)) (sqrt y)))
(+ (+ (sqrt (+ 1 y)) 2) (* z (+ 1/2 (* z (+ (* 1/16 z) -1/8)))))
(+ (sqrt (+ 1 y)) 2)
(- (sqrt (+ 1 z)) (sqrt z))
(- (sqrt (+ 1 y)) (sqrt y))
(+ (sqrt y) (sqrt x))
(sqrt (/ 1 z))
(- (sqrt (+ t 1)) (sqrt t))
(* z (+ 1/2 (* z (+ (* 1/16 z) -1/8))))
(+ (+ (sqrt x) (sqrt z)) (sqrt y))

Outputs
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(-.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))) (/.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2 binary64)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 2 binary64)) (.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 3 binary64))))) (.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 2 binary64))))) (.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(/.f64 (+.f64 (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 2 binary64)) (.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 3 binary64))))) (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))))
(/.f64 (+.f64 (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 2 binary64))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 2 binary64)) (.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (.f64 (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 2 binary64)) (.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) t) t)))) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) t) t)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (/.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (+.f64 #s(literal 1 binary64) t) t)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) t) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) t) t)))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(+.f64 (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) (.f64 z #s(literal 1/2 binary64)))
(fma.f64 z #s(literal 1/2 binary64) (.f64 z (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(fma.f64 #s(literal 1/2 binary64) z (.f64 z (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z #s(literal 1/2 binary64))) (.f64 (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (-.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))
(/.f64 (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) (.f64 (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) (-.f64 (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 z (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (-.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) (.f64 (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) z) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) (-.f64 (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (.f64 z (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) z) (-.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) z)
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))
(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))
(+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 x))
(-.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))) (/.f64 y (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 y (*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64)) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 y (*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 y (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64)) y) (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 y (*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64)) y)) (neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 x (-.f64 (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(/.f64 (-.f64 x (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(/.f64 (-.f64 y (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 y (.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))))

simplify490.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

7846×	`+-lowering-+.f64`
7846×	`+-lowering-+.f32`
3736×	`-lowering-.f32`
3736×	`-lowering-.f64`
1748×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1046	9320
1	3765	8486
0	8937	8486

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))
(- (+ (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)))
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))
(- (+ (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)))
(- (+ (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)))
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z)))
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))
(- (+ (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)))
(- (+ (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)))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -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))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))
(- (sqrt (+ 1 x)) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))
(- (sqrt (+ 1 x)) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))
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(* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ 3 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))
(+ 3 (+ (* 1/2 y) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))
(+ 3 (+ (* y (+ 1/2 (* -1/8 y))) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))
(+ 3 (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (+ (* 2 (/ 1 y)) (/ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) y))))
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 2 (/ 1 y)) (/ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) y)))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 2 (/ 1 y)) (/ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) y))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ 2 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ 2 (+ (* -1/2 (sqrt (/ 1 y))) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(+ 2 (sqrt (+ 1 y)))
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(+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))
(+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))
(* 1/16 (pow z 3))
(* (pow z 3) (- 1/16 (* 1/8 (/ 1 z))))
(* (pow z 3) (- (+ 1/16 (/ 1/2 (pow z 2))) (* 1/8 (/ 1 z))))
(* (pow z 3) (- (+ 1/16 (+ (* (/ 1 (pow z 3)) (sqrt (+ 1 y))) (+ (/ 1/2 (pow z 2)) (* 2 (/ 1 (pow z 3)))))) (* 1/8 (/ 1 z))))
(* 1/16 (pow z 3))
(* -1 (* (pow z 3) (- (* 1/8 (/ 1 z)) 1/16)))
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(* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ 2 (sqrt (+ 1 y))) z)) 1/2) z)) 1/8) z)) 1/16)))
3
(+ 3 (* 1/2 y))
(+ 3 (* y (+ 1/2 (* -1/8 y))))
(+ 3 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* 2 (/ 1 y))))
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (/ 1 y)))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* 2 (/ 1 y))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (- (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* -1 (/ (+ 2 (* -1/2 (sqrt (/ 1 y)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(- 1 (sqrt z))
(- (+ 1 (* 1/2 z)) (sqrt z))
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
(* 1/2 (sqrt (/ 1 z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)
(* -1/2 (sqrt (/ 1 z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(* -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))
(* -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))
(- 1 (sqrt y))
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(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))
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(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(* -1/2 (sqrt (/ 1 y)))
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(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))
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(+ (sqrt x) (sqrt y))
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(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
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(sqrt (/ 1 z))
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(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))
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(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
(* -1/2 (sqrt (/ 1 t)))
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(+ (sqrt x) (+ (sqrt y) (sqrt z)))
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(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))
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(sqrt y)
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(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))

Outputs
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
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(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y))
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y))
(+ (sqrt x) (sqrt y))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(+ (sqrt x) (sqrt y))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(+ (sqrt x) (sqrt y))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(+ (sqrt x) (sqrt y))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x)))
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x)))
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 y) x))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 y) x))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 y) x))))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(- 1 (sqrt t))
(-.f64 #s(literal 1 binary64) (sqrt.f64 t))
(- (+ 1 (* 1/2 t)) (sqrt t))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (sqrt.f64 t)))
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) t))) (sqrt.f64 t)))
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (*.f64 #s(literal 1/16 binary64) t) #s(literal -1/8 binary64))))) (sqrt.f64 t)))
(* 1/2 (sqrt (/ 1 t)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 t t))))))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
(/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t))))))) t)
(* -1/2 (sqrt (/ 1 t)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) (neg.f64 t))
(* -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))
(/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (neg.f64 t))
(* -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))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal -5/128 binary64) (/.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))))) (neg.f64 t))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* z (+ 1/2 (* -1/8 z)))
(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal -1/8 binary64))))
(* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))
(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))
(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(* 1/16 (pow z 3))
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(* (pow z 3) (- 1/16 (* 1/8 (/ 1 z))))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(* (pow z 3) (- (+ 1/16 (/ 1/2 (pow z 2))) (* 1/8 (/ 1 z))))
(.f64 (.f64 z (.f64 z z)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 z z))) (/.f64 #s(literal -1/8 binary64) z)))
(* (pow z 3) (- (+ 1/16 (/ 1/2 (pow z 2))) (* 1/8 (/ 1 z))))
(.f64 (.f64 z (.f64 z z)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 z z))) (/.f64 #s(literal -1/8 binary64) z)))
(* 1/16 (pow z 3))
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(* -1 (* (pow z 3) (- (* 1/8 (/ 1 z)) 1/16)))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) z) #s(literal -1/16 binary64)) (neg.f64 (.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (- (* -1 (/ (- (* 1/2 (/ 1 z)) 1/8) z)) 1/16)))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) z)) #s(literal -1/16 binary64)) (neg.f64 (.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (- (* -1 (/ (- (* 1/2 (/ 1 z)) 1/8) z)) 1/16)))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) z)) #s(literal -1/16 binary64)) (neg.f64 (.f64 z (*.f64 z z))))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) x)) (neg.f64 x))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(sqrt z)
(sqrt.f64 z)
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))
(.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))
(.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))
(.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(sqrt y)
(sqrt.f64 y)
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) y)) (neg.f64 y))
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) y)) (neg.f64 y))
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) y)) (neg.f64 y))

eval203.0ms (0.7%)

Compiler: Compiled 45975 to 3641 computations (92.1% saved)

prune288.0ms (0.9%)

Pruning

43 alts after pruning (43 fresh and 0 done)

	Pruned	Kept	Total
New	1234	27	1261
Fresh	14	16	30
Picked	5	0	5
Done	0	0	0
Total	1253	43	1296

Accuracy

100.0%

Counts

1296 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.7%	(/.f64 (+.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 3 binary64))))) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))))
	48.8%	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
	26.2%	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
	26.3%	(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
	75.5%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	47.0%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	38.5%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (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 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
	49.4%	(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
	66.1%	(-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
	41.5%	(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
	24.9%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
	32.1%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
	33.0%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
	25.0%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
	49.2%	(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
	35.3%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
	86.2%	(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
	69.4%	(+.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	6.4%	(+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
	7.9%	(+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
	30.6%	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
	25.9%	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
	30.4%	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	38.2%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	30.4%	(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	85.8%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
	30.6%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
	83.3%	(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
	7.7%	(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	28.7%	(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	12.1%	(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
	12.2%	(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
	84.8%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	30.3%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
	52.6%	(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
	63.5%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	41.7%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	25.2%	(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
	3.6%	(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
	7.9%	(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
	8.0%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
	8.0%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
	4.4%	(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))

Compiler

Compiled 3953 to 1225 computations (69% saved)

regimes378.0ms (1.2%)

Counts

99 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
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(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (-.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (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 (sqrt.f64 t) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) 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 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.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 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #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)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t)))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
(+.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.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 (+.f64 (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.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 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 3 binary64))))) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))))

Outputs

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

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

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

Calls

11 calls:

48.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
40.0ms	t
36.0ms	z
34.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
30.0ms	y

Results

Accuracy	Segments	Branch
96.7%	2	`x`
98.5%	3	`y`
95.6%	2	`z`
92.0%	1	`t`
99.8%	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)))`
99.8%	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)))`
99.8%	3	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
96.7%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
96.9%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
94.5%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
92.0%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`

Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes104.0ms (0.3%)

Counts

95 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (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 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (-.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (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 (sqrt.f64 t) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) 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 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.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 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #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)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t)))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))

Outputs

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

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

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

Calls

3 calls:

24.0ms

(+.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)))

23.0ms

(+.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)))

23.0ms

(+.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
99.7%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
99.7%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
99.7%	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)))`

Compiler

Compiled 81 to 57 computations (29.6% saved)

regimes78.0ms (0.3%)

Counts

76 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (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 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))

Outputs

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

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

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

Calls

2 calls:

20.0ms

(+.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)))

19.0ms

(+.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
99.6%	3	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
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)))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes140.0ms (0.5%)

Counts

75 → 4

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (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 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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)))

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

Calls

6 calls:

24.0ms	x
22.0ms	y
21.0ms	(+.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)))
20.0ms	(+.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)))
18.0ms	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))

Results

Accuracy	Segments	Branch
91.4%	2	`x`
91.4%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
92.1%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
93.8%	3	`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)))`
96.7%	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)))`

Compiler

Compiled 78 to 59 computations (24.4% saved)

regimes66.0ms (0.2%)

Counts

72 → 4

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))

Calls

1 calls:

38.0ms

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

Results

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes127.0ms (0.4%)

Counts

63 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))

Outputs

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

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

Calls

6 calls:

23.0ms	t
19.0ms	z
19.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
18.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
18.0ms	y

Results

Accuracy	Segments	Branch
91.4%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
89.7%	2	`y`
91.4%	2	`t`
91.4%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
91.2%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
91.2%	2	`z`

Compiler

Compiled 48 to 39 computations (18.8% saved)

regimes116.0ms (0.4%)

Counts

61 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs

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

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

Calls

3 calls:

73.0ms	t
18.0ms	x
15.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

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

Compiler

Compiled 21 to 17 computations (19% saved)

regimes58.0ms (0.2%)

Counts

57 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))

Outputs

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

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

Calls

3 calls:

19.0ms	t
15.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
14.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
91.3%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
91.0%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
91.0%	2	`t`

Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes43.0ms (0.1%)

Counts

55 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))

Outputs

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

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

Calls

2 calls:

18.0ms	x
16.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
91.3%	2	`x`
91.3%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes133.0ms (0.4%)

Counts

49 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))

Outputs

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

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

Calls

6 calls:

45.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
23.0ms	t
16.0ms	x
14.0ms	z
14.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
90.3%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
90.3%	2	`t`
90.2%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
90.2%	2	`z`
90.6%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
90.6%	2	`x`

Compiler

Compiled 48 to 39 computations (18.8% saved)

regimes78.0ms (0.3%)

Counts

46 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.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 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

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

Calls

5 calls:

19.0ms	t
13.0ms	x
13.0ms	z
13.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
12.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
90.2%	2	`z`
88.5%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
88.5%	2	`t`
90.1%	2	`x`
90.1%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 37 to 30 computations (18.9% saved)

regimes59.0ms (0.2%)

Counts

37 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs

(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))

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

Calls

4 calls:

22.0ms	x
11.0ms	z
11.0ms	y
11.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
87.0%	2	`y`
89.6%	2	`x`
89.6%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
90.2%	3	`z`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes57.0ms (0.2%)

Counts

34 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs

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

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

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

Calls

3 calls:

32.0ms	z
13.0ms	x
8.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
90.2%	3	`z`
71.3%	2	`x`
71.3%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes101.0ms (0.3%)

Counts

31 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Outputs

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

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

Calls

4 calls:

69.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
9.0ms	z
9.0ms	t
9.0ms	y

Results

Accuracy	Segments	Branch
80.5%	3	`y`
66.1%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
72.4%	2	`t`
85.1%	2	`z`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes16.0ms (0.1%)

Counts

29 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (sqrt.f64 x))

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
85.1%	2	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0%)

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.0%	2	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes27.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))

Outputs

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

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

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

Calls

3 calls:

9.0ms	z
9.0ms	t
7.0ms	y

Results

Accuracy	Segments	Branch
54.1%	2	`t`
70.0%	3	`y`
73.6%	3	`z`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes9.0ms (0%)

Counts

21 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 x) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (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 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
73.4%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes27.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x))

Outputs

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

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

Calls

4 calls:

9.0ms	y
8.0ms	z
5.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
68.0%	2	`y`
53.2%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
56.2%	2	`x`
68.6%	3	`z`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes9.0ms (0%)

Counts

13 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))

Outputs

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

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

Calls

2 calls:

5.0ms	y
3.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
49.2%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
67.6%	2	`y`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes12.0ms (0%)

Counts

12 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))

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

Calls

2 calls:

6.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
54.1%	2	`z`
66.1%	2	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes21.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

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

Calls

5 calls:

6.0ms	z
4.0ms	x
4.0ms	t
4.0ms	y
3.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
35.3%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
35.3%	1	`t`
35.3%	1	`z`
35.3%	1	`x`
35.3%	1	`y`

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes15.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))

Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))

Calls

4 calls:

5.0ms	t
3.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
8.0%	1	`x`
8.0%	1	`t`
8.0%	1	`y`
8.0%	1	`z`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0%)

Accuracy

Total -1.6b remaining (-2.6%)

Threshold costs -1.6b (-2.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z (*.f64 z z)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) z)))
(neg.f64 (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))

Outputs
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	t
2.0ms	z

Results

Accuracy	Segments	Branch
4.4%	1	`z`
4.4%	1	`y`
4.4%	1	`t`
4.4%	1	`x`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.932628562728029	1.9719830133135328
0.0ms	0.0	1.862645149230957e-8

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9999999999983609	1.9999999999989524
0.0ms	2.3966214939719066e-5	0.002398879627264705

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch4.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000294022538583	1.0002705656700073
0.0ms	0.0	1.862645149230957e-8

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0023741613946697	2.002534756861735
0.0ms	1.0000294022538583	1.0002705656700073
0.0ms	0.0	1.862645149230957e-8

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.9634925141555786	2.9869186190808996
0.0ms	1.0000294022538583	1.0002705656700073
0.0ms	0.0	1.862645149230957e-8

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3966214939719066e-5	0.002398879627264705

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch91.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
84.0ms	1.5524360498392014e+43	1.0146222750163437e+49

Results

79.0ms

144×

valid

Compiler

Compiled 591 to 399 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-sqrt: 39.0ms (62.2% of total)

ival-add: 10.0ms (16% of total)

backward-pass: 7.0ms (11.2% of total)

ival-sub: 6.0ms (9.6% of total)

const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3966214939719066e-5	0.002398879627264705

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch79.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
69.0ms	0.00033565700951364985	23310.145945048884

Results

62.0ms	134×	1	valid
2.0ms	10×	0	valid

Compiler

Compiled 627 to 444 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-sqrt: 27.0ms (53.6% of total)

ival-add: 10.0ms (19.9% of total)

ival-sub: 6.0ms (11.9% of total)

backward-pass: 6.0ms (11.9% of total)

const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3966214939719066e-5	0.002398879627264705

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch79.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	9.611481043994955e+26	4.701542175560878e+28

Results

44.0ms

112×

valid

Compiler

Compiled 371 to 268 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sqrt: 13.0ms (38.7% of total)

ival-add: 10.0ms (29.8% of total)

ival-sub: 5.0ms (14.9% of total)

backward-pass: 5.0ms (14.9% of total)

const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0032748608417705327	0.9818468698654704

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch90.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	2.153629261153941e+30	1.587446511038663e+33
47.0ms	0.19556036829151877	3.9063711826042398

Results

72.0ms	180×	1	valid
2.0ms	12×	0	valid

Compiler

Compiled 668 to 503 computations (24.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sqrt: 22.0ms (39.6% of total)

ival-add: 16.0ms (28.8% of total)

backward-pass: 9.0ms (16.2% of total)

ival-sub: 8.0ms (14.4% of total)

const: 0.0ms (0% of total)

bsearch57.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	147880700972136930.0	938893164588195300.0

Results

47.0ms	85×	1	valid
2.0ms	11×	0	valid

Compiler

Compiled 354 to 252 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sqrt: 26.0ms (64% of total)

ival-add: 7.0ms (17.2% of total)

ival-sub: 4.0ms (9.8% of total)

backward-pass: 4.0ms (9.8% of total)

const: 0.0ms (0% of total)

bsearch47.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	147880700972136930.0	938893164588195300.0

Results

37.0ms	87×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 330 to 234 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sqrt: 11.0ms (40.7% of total)

ival-add: 6.0ms (22.2% of total)

ival-sub: 5.0ms (18.5% of total)

backward-pass: 4.0ms (14.8% of total)

const: 0.0ms (0% of total)

bsearch58.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	9.611481043994955e+26	4.701542175560878e+28

Results

46.0ms

112×

valid

Compiler

Compiled 315 to 233 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sqrt: 17.0ms (48.3% of total)

ival-add: 8.0ms (22.7% of total)

ival-sub: 5.0ms (14.2% of total)

backward-pass: 5.0ms (14.2% of total)

const: 0.0ms (0% of total)

bsearch182.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
77.0ms	8.563325768087835e+159	1.9481182031245243e+167
94.0ms	4.276760978824582e+22	8.518635291195722e+23

Results

161.0ms

256×

valid

Compiler

Compiled 666 to 503 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-sqrt: 94.0ms (68.4% of total)

ival-add: 20.0ms (14.5% of total)

backward-pass: 12.0ms (8.7% of total)

ival-sub: 11.0ms (8% of total)

const: 1.0ms (0.7% of total)

bsearch603.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
263.0ms	8.563325768087835e+159	1.9481182031245243e+167
329.0ms	4.276760978824582e+22	8.518635291195722e+23

Results

582.0ms

256×

valid

Compiler

Compiled 618 to 471 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 558.0ms

ival-sub: 458.0ms (82.1% of total)

ival-add: 57.0ms (10.2% of total)

ival-sqrt: 31.0ms (5.6% of total)

backward-pass: 12.0ms (2.2% of total)

const: 1.0ms (0.2% of total)

bsearch66.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
61.0ms	3415030.3052134765	289187058.064232

Results

55.0ms	103×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 294 to 226 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

backward-pass: 21.0ms (44.9% of total)

ival-sqrt: 13.0ms (27.8% of total)

ival-add: 8.0ms (17.1% of total)

ival-sub: 5.0ms (10.7% of total)

const: 0.0ms (0% of total)

bsearch54.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	3415030.3052134765	289187058.064232

Results

42.0ms	98×	1	valid
2.0ms	14×	0	valid

Compiler

Compiled 294 to 226 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sqrt: 18.0ms (52.2% of total)

ival-add: 8.0ms (23.2% of total)

ival-sub: 4.0ms (11.6% of total)

backward-pass: 4.0ms (11.6% of total)

const: 0.0ms (0% of total)

bsearch54.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	140233215030992.4	11746047134360610.0

Results

44.0ms	105×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 245 to 191 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sqrt: 13.0ms (39.1% of total)

ival-add: 8.0ms (24% of total)

backward-pass: 7.0ms (21% of total)

ival-sub: 5.0ms (15% of total)

const: 0.0ms (0% of total)

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

230×	`unsub-neg_binary64`
210×	`+-commutative_binary64`
118×	`neg-mul-1_binary64`
96×	`sub-neg_binary64`
80×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1652
1	373	1652
2	436	1652
3	479	1652
4	516	1652
5	530	1652
6	537	1652
7	542	1652
8	621	1652
9	803	1652

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 0 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 8782019273372467/4503599627370496 binary64)) (+.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(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 5902958103587057/147573952589676412928 binary64)) (+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 9007199254734237/4503599627370496 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(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 0 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 2252250173647985/2251799813685248 binary64)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(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 0 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 2252250173647985/2251799813685248 binary64)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 4509229126904709/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 0 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 2252250173647985/2251799813685248 binary64)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 6710363444782039/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5902958103587057/147573952589676412928 binary64)) (+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(if (<=.f64 t #s(literal 15599999999999998781410056885644875760926720 binary64)) (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5902958103587057/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(if (<=.f64 x #s(literal 23000 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5902958103587057/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(if (<=.f64 z #s(literal 979999999999999947051106304 binary64)) (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 (*.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 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(if (<=.f64 z #s(literal 7385903388887613/9007199254740992 binary64)) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) z) #s(literal -1/8 binary64)))))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 z #s(literal 4000000000000000079538499354624 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))))
(if (<=.f64 z #s(literal 150000000000000000 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y #s(literal 1/2 binary64))) (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x)))
(if (<=.f64 z #s(literal 150000000000000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x)))
(if (<=.f64 z #s(literal 979999999999999947051106304 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x)))
(if (<=.f64 z #s(literal 275000000000000002097152 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)) (if (<=.f64 z #s(literal 189999999999999996860858969342053752488656867985248546920150728842489716584803833165746895838673448026291631272546691674906132641927518937268795968176640430910092607488 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 z #s(literal 46000000000000004194304 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)) (if (<=.f64 z #s(literal 189999999999999996860858969342053752488656867985248546920150728842489716584803833165746895838673448026291631272546691674906132641927518937268795968176640430910092607488 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal 18000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(if (<=.f64 y #s(literal 28000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))))
(if (<=.f64 y #s(literal 3800000000000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))

Outputs
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 0 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 8782019273372467/4503599627370496 binary64)) (+.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 0 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 8782019273372467/4503599627370496 binary64)) (+.f64 (/.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(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 5902958103587057/147573952589676412928 binary64)) (+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 9007199254734237/4503599627370496 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 5902958103587057/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))) x)) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 9007199254734237/4503599627370496 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(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 0 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 2252250173647985/2251799813685248 binary64)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 0 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2252250173647985/2251799813685248 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(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 0 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 2252250173647985/2251799813685248 binary64)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 4509229126904709/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))))
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(if (<=.f64 z #s(literal 979999999999999947051106304 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x)))
(if (<=.f64 z #s(literal 275000000000000002097152 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)) (if (<=.f64 z #s(literal 189999999999999996860858969342053752488656867985248546920150728842489716584803833165746895838673448026291631272546691674906132641927518937268795968176640430910092607488 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 z #s(literal 275000000000000002097152 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)) (if (<=.f64 z #s(literal 189999999999999996860858969342053752488656867985248546920150728842489716584803833165746895838673448026291631272546691674906132641927518937268795968176640430910092607488 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 z #s(literal 46000000000000004194304 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)) (if (<=.f64 z #s(literal 189999999999999996860858969342053752488656867985248546920150728842489716584803833165746895838673448026291631272546691674906132641927518937268795968176640430910092607488 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 z #s(literal 46000000000000004194304 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)) (if (<=.f64 z #s(literal 189999999999999996860858969342053752488656867985248546920150728842489716584803833165746895838673448026291631272546691674906132641927518937268795968176640430910092607488 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal 18000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(if (<=.f64 y #s(literal 18000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(if (<=.f64 y #s(literal 28000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))))
(if (<=.f64 y #s(literal 28000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))))
(if (<=.f64 y #s(literal 3800000000000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 y #s(literal 3800000000000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal 1/16 binary64) (.f64 z (*.f64 z z)))

soundness4.0s (13.2%)

Rules

7846×	`+-lowering-+.f64`
7846×	`+-lowering-+.f32`
6994×	`+-lowering-+.f64`
6994×	`+-lowering-+.f32`
5940×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1066	10530
1	3785	9445
0	8226	9445
0	36	165
1	339	162
2	3840	162
0	8513	162
0	1296	12161
1	4657	11182
0	8532	11182
0	1046	9320
1	3765	8486
0	8937	8486
0	651	6678
1	2175	5975
2	7417	5972
0	8013	5972
0	53	256
1	478	241
2	6042	240
0	8096	240
0	60	266
1	571	227
2	7038	227
0	8081	227
0	24	30
1	55	29
2	220	29
3	1630	29
4	5493	29
0	8399	29
0	61	322
1	612	300
2	7447	299
0	8579	299

Stop Event

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

Compiler

Compiled 6153 to 3356 computations (45.5% saved)

preprocess244.0ms (0.8%)

Compiler: Compiled 4052 to 774 computations (80.9% saved)