Metrics for Main:z from

analyze191.0ms (0.7%)

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: 113.0ms

ival-sqrt: 62.0ms (54.7% of total)

ival-add: 32.0ms (28.2% of total)

ival-sub: 18.0ms (15.9% of total)

const: 1.0ms (0.9% of total)

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

sample8.4s (32.6%)

Results

3.3s	7568×	1	valid
3.1s	16060×	0	invalid
203.0ms	688×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.2s

ival-sqrt: 2.5s (47.4% of total)

ival-add: 1.6s (31.7% of total)

ival-sub: 787.0ms (15.1% of total)

backward-pass: 262.0ms (5% of total)

const: 39.0ms (0.7% of total)

Bogosity

preprocess341.0ms (1.3%)

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)

explain476.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
238	-	-	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
171	-	-	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
71	-	-	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
13	-	-	`(-.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

327.0ms	474×	1	valid
12.0ms	38×	0	valid

Compiler

Compiled 321 to 74 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-add: 135.0ms (55.1% of total)

ival-sqrt: 63.0ms (25.7% of total)

backward-pass: 25.0ms (10.2% of total)

ival-sub: 20.0ms (8.2% of total)

const: 1.0ms (0.4% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.5%	(+.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))))))
▶	92.2%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Status

Accuracy

Program

▶

34.5%

(+.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))))))

▶

92.2%

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

Compiler

Compiled 70 to 48 computations (31.4% saved)

simplify256.0ms (1%)

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)

localize397.0ms (1.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	74.0%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
✓	accuracy	37.6%	(+.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	19.7%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
✓	accuracy	95.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	74.0%	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓	accuracy	37.7%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	11.2%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

322.0ms	237×	1	valid
6.0ms	19×	0	valid

Compiler

Compiled 282 to 37 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

backward-pass: 107.0ms (43.1% of total)

ival-add: 50.0ms (20.1% of total)

ival-sub: 47.0ms (18.9% of total)

ival-sqrt: 44.0ms (17.7% of total)

const: 1.0ms (0.4% of total)

series75.0ms (0.3%)

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
48.0ms	z	@	inf	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	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	t	@	-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)))

rewrite1.3s (4.9%)

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	3818	162
0	8336	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 (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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(+.f64 (-.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 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
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(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 z))) t) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 t)))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) t) (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 t) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 t))
(-.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 t))
(-.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (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)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.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) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(-.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) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (-.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) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))
(/.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) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(/.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) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(*.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))))

simplify398.0ms (1.6%)

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	7412	5972
0	8008	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))))
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Outputs
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(/.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))
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(* -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))
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(- 1 (+ (sqrt t) (sqrt z)))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 t)) (sqrt.f64 z))
(- (+ 1 (* 1/2 t)) (+ (sqrt t) (sqrt z)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (+ (sqrt t) (sqrt z)))
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(- (+ 1 (* 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 t) (sqrt.f64 z))))
(* -1 (sqrt z))
(-.f64 #s(literal 0 binary64) (sqrt.f64 z))
(- (* 1/2 (sqrt (/ 1 t))) (sqrt z))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 z))
(- (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t)))) (sqrt z))
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(-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 z))
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(-.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))) (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 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 (/.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))) (/.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 #s(literal 1 binary64) (+.f64 (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (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 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (.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 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 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))

eval115.0ms (0.4%)

Compiler: Compiled 32421 to 2478 computations (92.4% saved)

prune437.0ms (1.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	675	19	694
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	677	19	696

Accuracy

99.6%

Counts

696 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(-.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)))
	42.4%	(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.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 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	41.0%	(+.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)))
	86.4%	(+.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))))
▶	34.4%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) (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))))))
	92.5%	(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	92.6%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.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)))
▶	92.7%	(+.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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	61.1%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (+.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	85.8%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.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))
	92.4%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 t) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) t) t))))
	86.4%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
▶	63.2%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #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)))
	28.5%	(+.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)))
	91.7%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	69.9%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))) (+.f64 (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)))
	10.4%	(+.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)))
▶	48.8%	(+.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)))
	39.2%	(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.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 1346 to 922 computations (31.5% saved)

simplify284.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
✓	cost-diff	0	(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
✓	cost-diff	0	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))) (+.f64 (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)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	cost-diff	0	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
✓	cost-diff	0	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #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)))
✓	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 #s(literal 1 binary64) (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	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	256	(-.f64 (+.f64 #s(literal 1 binary64) z) z)
✓	cost-diff	320	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
✓	cost-diff	320	(+.f64 (+.f64 (-.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))
✓	cost-diff	320	(+.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) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Rules

5024×	`+-lowering-+.f64`
5024×	`+-lowering-+.f32`
2440×	`--lowering--.f32`
2440×	`--lowering--.f64`
2076×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	670
1	190	645
2	856	642
3	5669	642
4	7852	642
0	8101	642

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) (+ (sqrt z) (pow (+ 1 z) 1/2)))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2))))
(+ (- (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) (+ (sqrt z) (pow (+ 1 z) 1/2)))
(- (+ 1 z) z)
(+ 1 z)
z
(+ (sqrt z) (pow (+ 1 z) 1/2))
(sqrt z)
(pow (+ 1 z) 1/2)
1/2
(- (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)
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- 1 (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)
(+ (- 1 (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))))
(- 1 (sqrt y))
(sqrt y)
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)
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (* 1/2 (sqrt (/ 1 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)
(* 1/2 (sqrt (/ 1 z)))
1/2
(sqrt (/ 1 z))
(/ 1 z)
z
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(+ (+ (+ (+ 1 (sqrt (+ 1 x))) (- (* y (+ 1/2 (* y -1/8))) (+ (sqrt x) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (+ 1 (sqrt (+ 1 x))) (- (* y (+ 1/2 (* y -1/8))) (+ (sqrt x) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (+ 1 (sqrt (+ 1 x))) (- (* y (+ 1/2 (* y -1/8))) (+ (sqrt x) (sqrt y))))
(+ 1 (sqrt (+ 1 x)))
1
(sqrt (+ 1 x))
(+ 1 x)
x
(- (* y (+ 1/2 (* y -1/8))) (+ (sqrt x) (sqrt y)))
(* y (+ 1/2 (* y -1/8)))
y
(+ 1/2 (* y -1/8))
1/2
(* y -1/8)
-1/8
(+ (sqrt x) (sqrt y))
(sqrt x)
(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)

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

localize682.0ms (2.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 x) (sqrt.f64 y))
✓	accuracy	37.7%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	11.2%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	95.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	74.0%	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓	accuracy	11.2%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	99.9%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) (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))))))
✓	accuracy	95.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	37.6%	(+.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	19.7%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
✓	accuracy	95.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
✓	accuracy	78.2%	(+.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	11.2%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	95.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	74.0%	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓	accuracy	38.7%	(-.f64 (+.f64 #s(literal 1 binary64) z) z)
✓	accuracy	11.2%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

410.0ms	217×	1	valid
48.0ms	20×	2	valid
13.0ms	19×	0	valid

Compiler

Compiled 702 to 63 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

ival-sqrt: 80.0ms (30.1% of total)

ival-add: 65.0ms (24.4% of total)

backward-pass: 44.0ms (16.5% of total)

ival-pow: 28.0ms (10.5% of total)

ival-sub: 27.0ms (10.2% of total)

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

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

const: 1.0ms (0.4% of total)

series69.0ms (0.3%)

Counts

28 → 660

Calls

Call 1

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

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

Calls

165 calls:

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

rewrite363.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3410×	`-lowering-.f32`
3410×	`-lowering-.f64`
2948×	`+-lowering-+.f64`
2948×	`+-lowering-+.f32`
2888×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	393
1	624	352
0	8025	352

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 733

Calls

Call 1

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

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

simplify540.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

6564×	`+-lowering-+.f64`
6564×	`+-lowering-+.f32`
3094×	`-lowering-.f32`
3094×	`-lowering-.f64`
2728×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1487	15098
1	5357	14242
0	8086	14242

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

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

eval373.0ms (1.5%)

Compiler: Compiled 81899 to 5399 computations (93.4% saved)

prune367.0ms (1.4%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	1717	29	1746
Fresh	13	1	14
Picked	5	0	5
Done	0	0	0
Total	1735	30	1765

Accuracy

99.6%

Counts

1765 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.2%	(-.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	11.6%	(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
	34.8%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))
	1.7%	(-.f64 #s(literal 0 binary64) (sqrt.f64 y))
	28.3%	(+.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)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	48.7%	(+.f64 (-.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
	86.4%	(+.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))))
	62.9%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 y)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 z))))
	63.0%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
	62.3%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t))))) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 z))))))
	34.5%	(+.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)))
	34.4%	(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) (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))))))
	63.5%	(+.f64 (+.f64 (+.f64 (/.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 (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)))
	5.6%	(+.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 #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)))
	63.6%	(+.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 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (*.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)))
▶	62.6%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 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)))
	70.1%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.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))))
	64.0%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (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))))
▶	67.0%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	10.4%	(+.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 #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)))
▶	48.8%	(+.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)))
	23.9%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	3.2%	(+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	86.5%	(+.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))))
	61.9%	(+.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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	63.3%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	41.3%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
	33.8%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
	7.9%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
▶	2.1%	(.f64 #s(literal -1/8 binary64) (.f64 y y))

Compiler

Compiled 1696 to 1190 computations (29.8% saved)

simplify260.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

4636×	`+-lowering-+.f64`
4636×	`+-lowering-+.f32`
3566×	`--lowering--.f32`
3566×	`--lowering--.f64`
1574×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	431
1	137	426
2	543	426
3	3505	426
4	7048	424
0	8269	424

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize731.0ms (2.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	74.0%	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓	accuracy	11.2%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
✓	accuracy	37.7%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	11.2%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
✓	accuracy	78.7%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y)))
✓	accuracy	11.2%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(.f64 #s(literal -1/8 binary64) (.f64 y y))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 x) (sqrt.f64 y))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
✓	accuracy	95.3%	(+.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))))
✓	accuracy	74.6%	(-.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)))

Results

487.0ms	217×	1	valid
53.0ms	20×	2	valid
15.0ms	19×	0	valid

Compiler

Compiled 459 to 52 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-add: 143.0ms (36.9% of total)

ival-div: 115.0ms (29.6% of total)

ival-sqrt: 42.0ms (10.8% of total)

ival-sub: 40.0ms (10.3% of total)

backward-pass: 32.0ms (8.2% of total)

ival-mult: 14.0ms (3.6% of total)

const: 1.0ms (0.3% of total)

series68.0ms (0.3%)

Counts

26 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(+ (+ 1 (sqrt (+ 1 x))) (* -1/8 (* y y)))
4.0ms	z	@	inf	(+ (+ (+ (+ 1 (- (* x 1/2) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	x	@	0	(- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))
1.0ms	x	@	0	(+ (+ (+ (+ 1 (- (* x 1/2) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t)))
0.0ms	x	@	0	(+ (+ (+ (+ 1 (sqrt (+ 1 x))) (* -1/8 (* y y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))

rewrite392.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2590×	`-lowering-.f32`
2590×	`-lowering-.f64`
2204×	`+-lowering-+.f64`
2204×	`+-lowering-+.f32`
2138×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	274
1	462	266
2	5642	266
0	8334	266

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 545

Calls

Call 1

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

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

simplify430.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

6844×	`+-lowering-+.f64`
6844×	`+-lowering-+.f32`
3068×	`-lowering-.f32`
3068×	`-lowering-.f64`
1734×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1229	11025
1	4357	10149
0	8798	10149

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 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 z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 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 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 z) (sqrt (+ 1 z)))))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 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 z) (sqrt (+ 1 z)))))) (sqrt y))
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(/ (- (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))) (* 1/8 (sqrt (/ 1 z)))) z)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow z 7))) (* 1/32 (sqrt (pow z 7)))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (sqrt (/ 1 (pow z 3)))) (* 1/8 (sqrt (/ 1 z))))) z)
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1
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(* -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)))))))
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(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
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Outputs
(- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))
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(/.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 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))) (+.f64 (.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 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 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))))) (+.f64 (.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 (+ (sqrt x) (sqrt y)))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(- 1 (+ (sqrt x) (sqrt y)))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(- 1 (+ (sqrt x) (sqrt y)))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(- 1 (+ (sqrt x) (sqrt y)))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* x (- (/ 1 x) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x)))))
(* x (- (/ 1 x) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x)))))
(* x (- (/ 1 x) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x)))))
(* (sqrt x) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* -1 (* x (- (* -1 (/ (- 1 (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 y)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- 1 (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 y)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- 1 (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 y)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(- 1 (+ (sqrt x) (sqrt y)))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(- 1 (+ (sqrt x) (sqrt y)))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(- 1 (+ (sqrt x) (sqrt y)))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(- 1 (+ (sqrt x) (sqrt y)))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(* -1 (sqrt y))
(-.f64 #s(literal 0 binary64) (sqrt.f64 y))
(* y (- (/ 1 y) (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y)))))
(* y (- (/ 1 y) (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y)))))
(* y (- (/ 1 y) (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y)))))
(* (sqrt y) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 y))
(* -1 (* y (- (* -1 (/ (- 1 (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- 1 (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- 1 (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 y))
(- 1 (sqrt z))
(-.f64 #s(literal 1 binary64) (sqrt.f64 z))
(- (+ 1 (* 1/2 z)) (sqrt z))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (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))))) (sqrt.f64 z)))
(* 1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/.f64 (+.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/.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 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z 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)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64)))) z)
(* -1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (neg.f64 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))
(/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (neg.f64 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))
(/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (+.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 z))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 z))
(+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))
(+ 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))))))
(sqrt z)
(sqrt.f64 z)
(* z (+ (sqrt (/ 1 z)) (* 1/2 (sqrt (/ 1 (pow z 3))))))
(.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 (pow z 3)))))))
(.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))))))
(* 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))))))))
(.f64 z (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))))) (neg.f64 z))
(* -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))))))
(.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -1 binary64)))) (neg.f64 z))
(* -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)))))))
(.f64 (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -1 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))))) (neg.f64 z))
(- 1 (sqrt y))
(-.f64 #s(literal 1 binary64) (sqrt.f64 y))
(- (+ 1 (* 1/2 y)) (sqrt y))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 y))
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (+.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) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (neg.f64 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 #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 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.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 (.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))
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))

eval184.0ms (0.7%)

Compiler: Compiled 49613 to 4049 computations (91.8% saved)

prune278.0ms (1.1%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1283	22	1305
Fresh	18	7	25
Picked	4	1	5
Done	0	0	0
Total	1305	30	1335

Accuracy

99.6%

Counts

1335 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	34.8%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))
▶	11.2%	(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
	47.4%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (.f64 x #s(literal 1/2 binary64))) (.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 x) (sqrt.f64 y)))
	48.6%	(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	32.1%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	63.5%	(+.f64 (+.f64 (+.f64 (/.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 (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)))
	5.6%	(+.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 #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)))
	63.0%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 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 #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)))
	60.5%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.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))
	67.1%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (-.f64 (+.f64 #s(literal 1 binary64) t) t))))
	61.0%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y 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))))
	10.4%	(+.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 #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)))
	67.0%	(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	27.8%	(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (.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)))
	40.0%	(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	48.6%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
	48.0%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	22.8%	(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	27.3%	(+.f64 (+.f64 #s(literal 1 binary64) (-.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)))
▶	63.3%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	34.4%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
	44.2%	(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 t))))
▶	86.5%	(+.f64 #s(literal 1 binary64) (-.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))))
	62.7%	(+.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) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	41.3%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
	40.7%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y)))) (sqrt.f64 z)))
	7.9%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓	2.1%	(.f64 #s(literal -1/8 binary64) (.f64 y y))
▶	6.1%	(sqrt.f64 x)

Compiler

Compiled 1573 to 1115 computations (29.1% saved)

simplify229.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 (.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))))))
✓	cost-diff	(-.f64 (+.f64 (.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))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.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)))
✓	cost-diff	(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓	cost-diff	(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
✓	cost-diff	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y)))))
✓	cost-diff	(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
✓	cost-diff	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
✓	cost-diff	(sqrt.f64 x)
✓	cost-diff	(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	(+.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)))))
✓	cost-diff	(-.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)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (-.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))))

Rules

3504×	`+-lowering-+.f64`
3504×	`+-lowering-+.f32`
2628×	`fma-lowering-fma.f32`
2628×	`fma-lowering-fma.f64`
2068×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	377
1	118	367
2	343	367
3	1552	367
4	3397	367
5	5982	367
0	8333	367

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize467.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))
✓	accuracy	99.7%	(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
✓	accuracy	66.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))
✓	accuracy	11.2%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 z) (sqrt.f64 t))
✓	accuracy	32.0%	(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 x) (sqrt.f64 y))
✓	accuracy	95.3%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
✓	accuracy	74.6%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(+.f64 (sqrt.f64 x) (sqrt.f64 y))
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (-.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))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
✓	accuracy	74.6%	(-.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)))

Results

202.0ms	173×	1	valid
131.0ms	64×	2	valid
11.0ms	19×	0	valid

Compiler

Compiled 421 to 50 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

ival-sqrt: 54.0ms (26.8% of total)

ival-add: 50.0ms (24.8% of total)

backward-pass: 32.0ms (15.9% of total)

ival-sub: 30.0ms (14.9% of total)

ival-mult: 21.0ms (10.4% of total)

ival-div: 12.0ms (6% of total)

const: 2.0ms (1% of total)

series38.0ms (0.1%)

Counts

25 → 528

Calls

Call 1

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

Outputs
#<alt (- (+ 2 (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 2 (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 2 (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 2 (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))>
#<alt (- (+ 1 (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt x))>
#<alt (- (+ 1 (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -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 z) (sqrt (+ 1 z)))))) (sqrt x))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt x) (sqrt y)))>
#<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)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3)))))))>
#<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 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (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)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))>
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))>
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (- (+ 1 (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))) (sqrt x))>
#<alt (- (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))>
#<alt (- (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))) (sqrt x))>
#<alt (- (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))>
#<alt (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))>
#<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)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3)))))))>
#<alt (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (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 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))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))>
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))>
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ 1 (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))>
#<alt (+ 1 (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))>
#<alt (+ 1 (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))>
#<alt (+ 1 (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))>
#<alt (sqrt y)>
#<alt (* y (+ (sqrt (/ 1 y)) (/ 1 (* y (+ (sqrt z) (sqrt (+ 1 z)))))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (/ 1 (* y (+ (sqrt z) (sqrt (+ 1 z))))))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (/ 1 (* y (+ (sqrt z) (sqrt (+ 1 z)))))))))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (- (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) (/ 1 (* y (+ (sqrt z) (sqrt (+ 1 z))))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z))))>
#<alt (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z)))))>
#<alt (+ (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)))))>
#<alt (+ (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)))))>
#<alt (sqrt (+ 1 y))>
#<alt (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))>
#<alt (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))) (* 1/8 (sqrt (/ 1 (pow z 3)))))>
#<alt (sqrt (+ 1 y))>
#<alt (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))>
#<alt (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))>
#<alt (+ (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)))>
#<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 (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 (+ 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>
#<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)))))>
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#<alt (- (+ 2 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (sqrt x)))>
#<alt (- (+ 2 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (sqrt t) (sqrt x)))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 y))))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 y)))))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/2 (sqrt (/ 1 t))) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -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)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (/ (+ (* -1/8 (sqrt y)) (* 1/2 (sqrt (pow y 3)))) (pow y 2))>
#<alt (/ (+ (* -1/8 (sqrt y)) (* y (+ (* 1/2 (sqrt y)) (* y (- 1 (sqrt x)))))) (pow y 2))>
#<alt (/ (+ (* -1/8 (sqrt y)) (* y (+ (* 1/2 (sqrt y)) (* y (- 1 (sqrt x)))))) (pow y 2))>
#<alt (- (+ 1 (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ 1 (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) (sqrt x))>
#<alt (- (+ 1 (+ (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) (sqrt x))>
#<alt (- (+ 1 (+ (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) (sqrt x))>
#<alt (- (+ 1 (+ (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (+ (* -1/8 (* (/ 1 x) (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (/ 1 x))) (sqrt (/ 1 x))))>
#<alt (* x (- (+ (* -1/8 (* (/ 1 x) (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (/ 1 x))) (sqrt (/ 1 x))))>
#<alt (* x (- (+ (* -1/8 (* (/ 1 x) (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (/ 1 x))) (sqrt (/ 1 x))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (/ (+ (* -1/8 (sqrt y)) (* 1/2 (sqrt (pow y 3)))) (pow y 2))>
#<alt (/ (+ (* -1/8 (sqrt y)) (* y (+ (* -1 (* (sqrt x) y)) (* 1/2 (sqrt y))))) (pow y 2))>
#<alt (/ (+ (* -1/8 (sqrt y)) (* y (+ (* -1 (* (sqrt x) y)) (* 1/2 (sqrt y))))) (pow y 2))>
#<alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) (sqrt x))>
#<alt (- (+ (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) (sqrt x))>
#<alt (- (+ (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) (sqrt x))>
#<alt (- (+ (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (+ (* -1/8 (* (/ 1 x) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ 1 x) (sqrt (/ 1 y))))) (sqrt (/ 1 x))))>
#<alt (* x (- (+ (* -1/8 (* (/ 1 x) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ 1 x) (sqrt (/ 1 y))))) (sqrt (/ 1 x))))>
#<alt (* x (- (+ (* -1/8 (* (/ 1 x) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ 1 x) (sqrt (/ 1 y))))) (sqrt (/ 1 x))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (/ (+ (* -1/8 (sqrt y)) (* 1/2 (sqrt (pow y 3)))) (pow y 2))>
#<alt (/ (+ (* -1/8 (sqrt y)) (* 1/2 (sqrt (pow y 3)))) (pow y 2))>
#<alt (/ (+ (* -1/8 (sqrt y)) (* 1/2 (sqrt (pow y 3)))) (pow y 2))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))>
#<alt (+ (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))>
#<alt (+ (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))>
#<alt (+ (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))>
#<alt (/ 1 (+ 1 (sqrt z)))>
#<alt (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (* 1/2 (sqrt (/ 1 z)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)>
#<alt (/ (- (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))) (* 1/8 (sqrt (/ 1 z)))) z)>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow z 7))) (* 1/32 (sqrt (pow z 7)))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (sqrt (/ 1 (pow z 3)))) (* 1/8 (sqrt (/ 1 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 (/ (- (+ (* 1/16 (* (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))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow z 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow z 7)) (/ 1 (pow (sqrt -1) 6))))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))))) z))>
#<alt (+ (sqrt x) (sqrt y))>
#<alt (+ (sqrt x) (sqrt y))>
#<alt (+ (sqrt x) (sqrt y))>
#<alt (+ (sqrt x) (sqrt y))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))>
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))>
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt x) (sqrt y))>
#<alt (+ (sqrt x) (sqrt y))>
#<alt (+ (sqrt x) (sqrt y))>
#<alt (+ (sqrt x) (sqrt y))>
#<alt (sqrt y)>
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))>
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))>
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt t) (sqrt z))>
#<alt (+ (sqrt t) (sqrt z))>
#<alt (+ (sqrt t) (sqrt z))>
#<alt (+ (sqrt t) (sqrt z))>
#<alt (sqrt z)>
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z))))>
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z))))>
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z))))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt t) (sqrt z))>
#<alt (+ (sqrt t) (sqrt z))>
#<alt (+ (sqrt t) (sqrt z))>
#<alt (+ (sqrt t) (sqrt z))>
#<alt (sqrt t)>
#<alt (* t (+ (sqrt (/ 1 t)) (* (/ 1 t) (sqrt z))))>
#<alt (* t (+ (sqrt (/ 1 t)) (* (/ 1 t) (sqrt z))))>
#<alt (* t (+ (sqrt (/ 1 t)) (* (/ 1 t) (sqrt z))))>
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1 (* t (+ (* -1 (* (/ 1 t) (sqrt z))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* t (+ (* -1 (* (/ 1 t) (sqrt z))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* t (+ (* -1 (* (/ 1 t) (sqrt z))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))>
#<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 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 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (* -1/8 (sqrt (/ 1 (pow y 3))))>
#<alt (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (* 1/8 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>

Calls

132 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))
2.0ms	x	@	0	(+ (+ 1 (- (+ (* 1/2 (sqrt (/ 1 y))) (* -1/8 (sqrt (/ 1 (* y (* y y)))))) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	y	@	-inf	(+ (+ 1 (- (+ (* 1/2 (sqrt (/ 1 y))) (* -1/8 (sqrt (/ 1 (* y (* y y)))))) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	y	@	inf	(+ (+ 1 (- (+ (* 1/2 (sqrt (/ 1 y))) (* -1/8 (sqrt (/ 1 (* y (* y y)))))) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))
0.0ms	y	@	0	(+ (+ 1 (- (+ (* 1/2 (sqrt (/ 1 y))) (* -1/8 (sqrt (/ 1 (* y (* y y)))))) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))

rewrite333.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2076×	`-lowering-.f32`
2076×	`-lowering-.f64`
1718×	`/-lowering-/.f32`
1718×	`/-lowering-/.f64`
1708×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	263
1	397	241
2	4561	239
0	8014	239

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 452

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (-.f64 (/.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 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #s(literal 1 binary64)))
(+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #s(literal 1 binary64)))
(+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) #s(literal 1 binary64))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
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(.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) #s(literal 1/64 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))))))))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))
(neg.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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
(pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)))) (-.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (.f64 z (+.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (sqrt.f64 x))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 x) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y))) (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 y (-.f64 x (sqrt.f64 (*.f64 x y)))))
(/.f64 (-.f64 x y) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y)))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y))))
(/.f64 (-.f64 y x) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x y) (sqrt.f64 (.f64 x y)))))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (sqrt.f64 z) (sqrt.f64 t))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 t))) (/.f64 t (-.f64 (sqrt.f64 z) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 z t) (sqrt.f64 (*.f64 z t))) (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 t)) (-.f64 z t)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (-.f64 (+.f64 z t) (sqrt.f64 (*.f64 z t))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (+.f64 t (-.f64 z (sqrt.f64 (*.f64 z t)))))
(/.f64 (-.f64 z t) (-.f64 (sqrt.f64 z) (sqrt.f64 t)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 z t) (sqrt.f64 (*.f64 z t)))))
(/.f64 (neg.f64 (-.f64 z t)) (neg.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 t))))
(/.f64 (-.f64 t z) (-.f64 (sqrt.f64 t) (sqrt.f64 z)))
(.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 z t) (sqrt.f64 (.f64 z t)))))
(*.f64 (-.f64 z t) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 z) (sqrt.f64 t))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
(hypot.f64 #s(literal 1 binary64) (sqrt.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))
(*.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) t) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))) (/.f64 t (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (-.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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (-.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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))
(pow.f64 (.f64 y (.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1/8 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)
(pow.f64 y #s(literal -3 binary64))
(pow.f64 (.f64 y (.f64 y y)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y)))))
(.f64 (pow.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))

simplify518.0ms (2%)

Algorithm

1×	egg-herbie

Rules

8184×	`+-lowering-+.f64`
8184×	`+-lowering-+.f32`
3518×	`-lowering-.f32`
3518×	`-lowering-.f64`
2008×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	998	9447
1	3481	8625
0	8699	8625

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

eval174.0ms (0.7%)

Compiler: Compiled 36210 to 3237 computations (91.1% saved)

prune198.0ms (0.8%)

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	1075	28	1103
Fresh	12	12	24
Picked	4	1	5
Done	0	1	1
Total	1091	42	1133

Accuracy

99.6%

Counts

1133 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.6%	(/.f64 (+.f64 (.f64 (sqrt.f64 y) #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 y (.f64 y y))))) (*.f64 y y))
	11.5%	(-.f64 (+.f64 (+.f64 #s(literal 3 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (*.f64 z #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
	10.6%	(-.f64 (+.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
	34.8%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))
	2.4%	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
	47.4%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (.f64 x #s(literal 1/2 binary64))) (.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 x) (sqrt.f64 y)))
	48.6%	(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	34.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
	32.1%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	22.9%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	71.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y)))
	63.5%	(+.f64 (+.f64 (+.f64 (/.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 (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)))
	67.1%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (-.f64 (+.f64 #s(literal 1 binary64) t) t))))
	61.0%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y 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))))
	10.4%	(+.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 #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)))
	27.8%	(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (.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)))
	5.5%	(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
	10.6%	(+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
	25.2%	(+.f64 (+.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))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
	33.9%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (-.f64 #s(literal 2 binary64) (sqrt.f64 z)))
	34.0%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) (sqrt.f64 z)))
	48.0%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	48.8%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y)))
	47.2%	(+.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 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y)))
	28.5%	(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
	10.4%	(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
	41.8%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
	64.3%	(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	38.1%	(+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1/8 binary64) (*.f64 y y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
	60.5%	(+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t)))) (.f64 y y))) (*.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))))
	59.9%	(+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (*.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))))
	63.3%	(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)))
	86.5%	(+.f64 #s(literal 1 binary64) (-.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))))) (sqrt.f64 y)))
	40.7%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y)))) (sqrt.f64 z)))
	33.1%	(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	33.4%	(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
	22.8%	(+.f64 #s(literal 1 binary64) (+.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))))
	6.1%	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
	7.9%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓	2.1%	(.f64 #s(literal -1/8 binary64) (.f64 y y))
✓	6.1%	(sqrt.f64 x)
	6.1%	(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

Compiler

Compiled 3302 to 1091 computations (67% saved)

regimes336.0ms (1.3%)

Counts

100 → 2

Calls

Call 1

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

Outputs

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

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

Calls

11 calls:

56.0ms	t
30.0ms	z
30.0ms	x
29.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
27.0ms	y

Results

Accuracy	Segments	Branch
96.9%	2	`x`
94.3%	2	`y`
92.7%	1	`z`
92.7%	1	`t`
96.9%	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
96.9%	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
96.9%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
96.9%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
94.3%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
92.7%	1	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
92.7%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`

Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes182.0ms (0.7%)

Counts

98 → 2

Calls

Call 1

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

Outputs

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

(+.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)))

Calls

5 calls:

39.0ms	(+.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)))
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)))
32.0ms	x
26.0ms	(+.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)))
23.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
96.8%	2	`x`
96.8%	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
96.8%	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
96.8%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
96.8%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`

Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes222.0ms (0.9%)

Counts

96 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

94.0ms	(+.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)))
35.0ms	x
27.0ms	(+.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)))
23.0ms	(+.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)))
21.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
96.4%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
96.4%	2	`x`
98.3%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
98.3%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
96.4%	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`

Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes48.0ms (0.2%)

Counts

91 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

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

Results

Accuracy	Segments	Branch
98.1%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes210.0ms (0.8%)

Counts

88 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

72.0ms	(+.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)))
47.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
25.0ms	x
20.0ms	(+.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
96.2%	2	`x`
97.8%	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)))`
96.2%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.9%	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 62 to 46 computations (25.8% saved)

regimes42.0ms (0.2%)

Counts

86 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

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)))

Results

Accuracy	Segments	Branch
97.9%	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 27 to 19 computations (29.6% saved)

regimes38.0ms (0.1%)

Counts

85 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

20.0ms

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

Results

Accuracy	Segments	Branch
97.8%	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)))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes243.0ms (0.9%)

Counts

79 → 2

Calls

Call 1

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

Outputs

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

Calls

8 calls:

40.0ms	x
36.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
35.0ms	t
32.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
25.0ms	y

Results

Accuracy	Segments	Branch
93.2%	2	`z`
92.5%	2	`t`
93.2%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
92.5%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
94.3%	3	`y`
94.1%	3	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
92.9%	3	`x`
91.0%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 64 to 52 computations (18.8% saved)

regimes57.0ms (0.2%)

Counts

76 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

24.0ms	z
18.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))

Results

Accuracy	Segments	Branch
92.8%	2	`z`
92.8%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes72.0ms (0.3%)

Counts

72 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

24.0ms	z
21.0ms	y
17.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))

Results

Accuracy	Segments	Branch
94.2%	3	`y`
92.5%	2	`z`
92.5%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes127.0ms (0.5%)

Counts

62 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

34.0ms	y
27.0ms	t
24.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
17.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
17.0ms	z

Results

Accuracy	Segments	Branch
92.3%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
92.3%	2	`z`
92.4%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
92.4%	2	`t`
94.0%	3	`y`

Compiler

Compiled 37 to 30 computations (18.9% saved)

regimes280.0ms (1.1%)

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

272.0ms

Results

Accuracy	Segments	Branch
94.0%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes281.0ms (1.1%)

Counts

50 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

243.0ms	y
20.0ms	t
11.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
92.4%	2	`t`
92.4%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
93.9%	3	`y`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes38.0ms (0.1%)

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms	y
12.0ms	t
9.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
89.1%	2	`y`
92.4%	2	`t`
92.4%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes64.0ms (0.3%)

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

11.0ms	z
11.0ms	x
10.0ms	y
10.0ms	t
9.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
88.9%	3	`y`
79.0%	3	`x`
86.1%	2	`z`
78.3%	3	`t`
70.1%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes35.0ms (0.1%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
84.6%	2	`z`
85.6%	3	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0%)

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
84.6%	2	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes30.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
34.4%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
44.2%	2	`t`
44.8%	2	`x`
55.1%	2	`y`
59.6%	2	`z`

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes22.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
4.0ms	t
4.0ms	z
4.0ms	y
3.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
34.4%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
34.4%	1	`t`
34.4%	1	`x`
34.4%	1	`y`
34.4%	1	`z`

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes14.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1/8 binary64) (.f64 y y))
(sqrt.f64 x)
(-.f64 #s(literal 0 binary64) (sqrt.f64 y))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))

Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))

Calls

4 calls:

4.0ms	x
3.0ms	t
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
33.4%	1	`x`
33.4%	1	`y`
33.4%	1	`t`
33.4%	1	`z`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
7.9%	1	`y`
7.9%	1	`x`
7.9%	1	`z`
7.9%	1	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1/8 binary64) (.f64 y y))
(sqrt.f64 x)
(-.f64 #s(literal 0 binary64) (sqrt.f64 y))

Outputs
(sqrt.f64 x)

Calls

4 calls:

4.0ms	y
2.0ms	t
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
6.1%	1	`x`
6.1%	1	`z`
6.1%	1	`t`
6.1%	1	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1/8 binary64) (.f64 y y))

Outputs
(.f64 #s(literal -1/8 binary64) (.f64 y y))

Calls

4 calls:

1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	t

Results

Accuracy	Segments	Branch
2.1%	1	`z`
2.1%	1	`t`
2.1%	1	`x`
2.1%	1	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.595209717692342e-5	0.07559855069049615

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.595209717692342e-5	0.07559855069049615

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0000030463852454	2.000018458855932
0.0ms	7.595209717692342e-5	0.07559855069049615

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0000030463852454	2.000018458855932
0.0ms	7.595209717692342e-5	0.07559855069049615

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0000030463852454	2.000018458855932
0.0ms	0.07559855069049615	0.9996937757611998

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0000030463852454	2.000018458855932
0.0ms	0.07559855069049615	0.9996937757611998

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0000030463852454	2.000018458855932
0.0ms	0.07559855069049615	0.9996937757611998

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00020913319076498738	0.00028784391292902

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00020913319076498738	0.00028784391292902

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch107.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	956710.0566773992	196032329.6962368
47.0ms	3.0210757136756146e-69	7.21610554584864e-68

Results

75.0ms	200×	1	valid
3.0ms	24×	0	valid

Compiler

Compiled 847 to 590 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-sqrt: 29.0ms (50% of total)

ival-add: 14.0ms (24.1% of total)

ival-sub: 8.0ms (13.8% of total)

backward-pass: 6.0ms (10.3% of total)

const: 0.0ms (0% of total)

bsearch112.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	956710.0566773992	196032329.6962368
49.0ms	3.0210757136756146e-69	7.21610554584864e-68

Results

80.0ms	212×	1	valid
4.0ms	12×	0	valid

Compiler

Compiled 749 to 548 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-sqrt: 27.0ms (39.6% of total)

ival-add: 26.0ms (38.1% of total)

ival-sub: 8.0ms (11.7% of total)

backward-pass: 7.0ms (10.3% of total)

const: 0.0ms (0% of total)

bsearch134.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	956710.0566773992	196032329.6962368
78.0ms	3.0210757136756146e-69	7.21610554584864e-68

Results

105.0ms	205×	1	valid
3.0ms	19×	0	valid

Compiler

Compiled 749 to 548 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-add: 53.0ms (57.6% of total)

ival-sqrt: 24.0ms (26.1% of total)

ival-sub: 8.0ms (8.7% of total)

backward-pass: 7.0ms (7.6% of total)

const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.400483936071396e-7

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.400483936071396e-7

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch104.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	956710.0566773992	196032329.6962368
51.0ms	1.6724148694626132e-15	1.5416804094139973e-12

Results

76.0ms	215×	1	valid
4.0ms	25×	0	valid

Compiler

Compiled 666 to 511 computations (23.3% saved)

Precisions

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

ival-sqrt: 29.0ms (46.3% of total)

ival-add: 17.0ms (27.1% of total)

ival-sub: 9.0ms (14.4% of total)

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

const: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	429969703266093300.0	438787996059186700.0

Compiler

Compiled 42 to 30 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	429969703266093300.0	438787996059186700.0

Compiler

Compiled 42 to 30 computations (28.6% saved)

bsearch62.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	2.6687112972438282e+28	3.8298725812255964e+33

Results

50.0ms

144×

valid

Compiler

Compiled 330 to 264 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sqrt: 16.0ms (41.2% of total)

ival-add: 10.0ms (25.8% of total)

backward-pass: 7.0ms (18% of total)

ival-sub: 5.0ms (12.9% of total)

const: 0.0ms (0% of total)

simplify34.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

192×	`+-commutative_binary64`
66×	`sub-neg_binary64`
42×	`*-commutative_binary64`
22×	`neg-mul-1_binary64`
20×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	1557
1	315	1557
2	362	1557
3	391	1557
4	404	1557
5	405	1557

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 7378697629483821/73786976294838206464 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.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) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 (+.f64 (-.f64 (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 7378697629483821/73786976294838206464 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.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))))
(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 7378697629483821/73786976294838206464 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 4503622145368633/2251799813685248 binary64)) (+.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 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (.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 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.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))))))
(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 7378697629483821/73786976294838206464 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 4503622145368633/2251799813685248 binary64)) (+.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 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (.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 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (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)))))
(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 3602879701896397/36028797018963968 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 4503622145368633/2251799813685248 binary64)) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 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 #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 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64)))) (+.f64 (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)))))
(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 3602879701896397/36028797018963968 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 4503622145368633/2251799813685248 binary64)) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 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 #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 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 3602879701896397/36028797018963968 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 4503622145368633/2251799813685248 binary64)) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 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 #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 #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)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 1152921504606847/4611686018427387904 binary64)) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 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 #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 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (-.f64 (+.f64 #s(literal 1 binary64) t) t)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 1152921504606847/4611686018427387904 binary64)) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 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 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (-.f64 (+.f64 #s(literal 1 binary64) t) t)))))
(if (<=.f64 y #s(literal 8742010015015781/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (-.f64 (+.f64 #s(literal 1 binary64) t) t)))) (if (<=.f64 y #s(literal 190000000 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal 5342339453620755/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 y #s(literal 190000000 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal 5342339453620755/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 y #s(literal 190000000 binary64)) (+.f64 #s(literal 1 binary64) (-.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (-.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))))) (sqrt.f64 y))) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (-.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))))) (sqrt.f64 y))) (-.f64 (+.f64 (+.f64 #s(literal 3 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (*.f64 z #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(if (<=.f64 y #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (/.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 y #s(literal 23000000 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(if (<=.f64 z #s(literal 430000000000000000 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(if (<=.f64 z #s(literal 430000000000000000 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y))))
(if (<=.f64 z #s(literal 330000000000000019509775125446656 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) (sqrt.f64 z))) (-.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 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 x)
(.f64 #s(literal -1/8 binary64) (.f64 y y))

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 7378697629483821/73786976294838206464 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.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) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 (+.f64 (-.f64 (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 7378697629483821/73786976294838206464 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) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (+.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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.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 7378697629483821/73786976294838206464 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.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))))
(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 7378697629483821/73786976294838206464 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) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(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 7378697629483821/73786976294838206464 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 4503622145368633/2251799813685248 binary64)) (+.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 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (.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 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.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))))))
(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 7378697629483821/73786976294838206464 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) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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 4503622145368633/2251799813685248 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.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 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (+.f64 #s(literal 1 binary64) t) 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 7378697629483821/73786976294838206464 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 4503622145368633/2251799813685248 binary64)) (+.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 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (.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 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (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)))))
(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 7378697629483821/73786976294838206464 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) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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 4503622145368633/2251799813685248 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.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 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.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)) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))))
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(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (-.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))))) (sqrt.f64 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)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) #s(literal 2 binary64)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (-.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))))) (sqrt.f64 y))) (-.f64 (+.f64 (+.f64 #s(literal 3 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (*.f64 z #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (-.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))))) (sqrt.f64 y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 #s(literal 3 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (*.f64 #s(literal 1/2 binary64) z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(if (<=.f64 y #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (/.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 y #s(literal 23000000 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (/.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 y #s(literal 23000000 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (.f64 x #s(literal 1/2 binary64)))) (+.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 430000000000000000 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(if (<=.f64 z #s(literal 430000000000000000 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) (sqrt.f64 z))) (+.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)))))
(if (<=.f64 z #s(literal 430000000000000000 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y))))
(if (<=.f64 z #s(literal 330000000000000019509775125446656 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 z #s(literal 330000000000000019509775125446656 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/8 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) (sqrt.f64 z))) (-.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 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 x)
(.f64 #s(literal -1/8 binary64) (.f64 y y))

soundness3.2s (12.6%)

Rules

8184×	`+-lowering-+.f64`
8184×	`+-lowering-+.f32`
6844×	`+-lowering-+.f64`
6844×	`+-lowering-+.f32`
6564×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	165
1	339	162
2	3818	162
0	8336	162
0	62	393
1	624	352
0	8025	352
0	998	9447
1	3481	8625
0	8699	8625
0	651	6678
1	2175	5975
2	7412	5972
0	8008	5972
0	1487	15098
1	5357	14242
0	8086	14242
0	51	274
1	462	266
2	5642	266
0	8334	266
0	1229	11025
1	4357	10149
0	8798	10149

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

Compiler

Compiled 5534 to 2960 computations (46.5% saved)

preprocess173.0ms (0.7%)

Compiler: Compiled 4246 to 858 computations (79.8% saved)

analyze191.0ms (0.7%)

sample8.4s (32.6%)

preprocess341.0ms (1.3%)

explain476.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify256.0ms (1%)

localize397.0ms (1.5%)

series75.0ms (0.3%)

rewrite1.3s (4.9%)

simplify398.0ms (1.6%)

eval115.0ms (0.4%)

prune437.0ms (1.7%)

simplify284.0ms (1.1%)

localize682.0ms (2.7%)

series69.0ms (0.3%)

rewrite363.0ms (1.4%)

simplify540.0ms (2.1%)

eval373.0ms (1.5%)

prune367.0ms (1.4%)

simplify260.0ms (1%)

localize731.0ms (2.8%)

series68.0ms (0.3%)

rewrite392.0ms (1.5%)

simplify430.0ms (1.7%)

eval184.0ms (0.7%)

prune278.0ms (1.1%)

simplify229.0ms (0.9%)

localize467.0ms (1.8%)

series38.0ms (0.1%)

rewrite333.0ms (1.3%)

simplify518.0ms (2%)

eval174.0ms (0.7%)

prune198.0ms (0.8%)

regimes336.0ms (1.3%)

regimes182.0ms (0.7%)

regimes222.0ms (0.9%)

regimes48.0ms (0.2%)

regimes210.0ms (0.8%)

regimes42.0ms (0.2%)

regimes38.0ms (0.1%)

regimes243.0ms (0.9%)

regimes57.0ms (0.2%)

regimes72.0ms (0.3%)

regimes127.0ms (0.5%)

regimes280.0ms (1.1%)

regimes281.0ms (1.1%)

regimes38.0ms (0.1%)

regimes64.0ms (0.3%)

regimes35.0ms (0.1%)

regimes11.0ms (0%)

regimes30.0ms (0.1%)

regimes22.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0%)

regimes11.0ms (0%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch107.0ms (0.4%)

bsearch112.0ms (0.4%)

bsearch134.0ms (0.5%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch104.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch62.0ms (0.2%)

simplify34.0ms (0.1%)

soundness3.2s (12.6%)

preprocess173.0ms (0.7%)

end0.0ms (0%)

Profiling