Metrics for Main:z from

analyze203.0ms (0.8%)

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: 110.0ms

ival-sqrt: 53.0ms (48.2% of total)

ival-add: 39.0ms (35.5% of total)

ival-sub: 16.0ms (14.6% of total)

const: 1.0ms (0.9% of total)

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

sample8.7s (32.7%)

Results

3.6s	7555×	1	valid
3.3s	15726×	0	invalid
165.0ms	701×	0	valid

Precisions

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

ival-sqrt: 2.2s (42.8% of total)

ival-add: 1.8s (34.4% of total)

ival-sub: 759.0ms (14.6% of total)

backward-pass: 388.0ms (7.4% of total)

const: 42.0ms (0.8% of total)

Bogosity

preprocess293.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(sort x y z t)

explain562.0ms (2.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
248	-	-	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
178	-	-	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
89	-	-	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
16	-	-	`(-.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

395.0ms	492×	1	valid
25.0ms	20×	0	valid

Compiler

Compiled 321 to 74 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

backward-pass: 73.0ms (36% of total)

ival-sqrt: 69.0ms (34.1% of total)

ival-add: 40.0ms (19.7% of total)

ival-sub: 20.0ms (9.9% of total)

const: 1.0ms (0.5% 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
▶	31.5%	(+.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))))))
▶	91.9%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Status

Accuracy

Program

▶

31.5%

(+.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))))))

▶

91.9%

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

Compiler

Compiled 70 to 48 computations (31.4% saved)

simplify287.0ms (1.1%)

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)

localize408.0ms (1.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	68.2%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
✓	accuracy	34.6%	(+.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	16.9%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
✓	accuracy	94.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	68.2%	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓	accuracy	34.7%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	8.0%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

338.0ms	246×	1	valid
4.0ms	10×	0	valid

Compiler

Compiled 282 to 37 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-add: 65.0ms (42.3% of total)

ival-sqrt: 42.0ms (27.3% of total)

backward-pass: 31.0ms (20.2% of total)

ival-sub: 15.0ms (9.8% of total)

const: 1.0ms (0.7% of total)

series48.0ms (0.2%)

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
3.0ms	y	@	0	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	y	@	-inf	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	x	@	-inf	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	z	@	inf	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	z	@	-inf	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))

rewrite330.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 328

Calls

Call 1

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

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

simplify378.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval131.0ms (0.5%)

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

prune110.0ms (0.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	676	18	694
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	678	18	696

Accuracy

98.7%

Counts

696 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.1%	(-.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)))
	36.2%	(+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (.f64 (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 z (.f64 (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	88.8%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
	65.3%	(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
▶	65.4%	(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	5.8%	(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	92.4%	(+.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)))
	92.4%	(+.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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))
	89.3%	(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
▶	65.3%	(+.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 #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)))
	65.4%	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	34.1%	(+.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)))
	10.3%	(+.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)))
▶	70.5%	(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 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)))
▶	45.7%	(+.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)))
	60.8%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))
	41.8%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))

Compiler

Compiled 1390 to 872 computations (37.3% saved)

simplify254.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4214×	`+-lowering-+.f64`
4214×	`+-lowering-+.f32`
2238×	`--lowering--.f32`
2238×	`--lowering--.f64`
1852×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	651
1	166	631
2	739	625
3	5730	625
4	7257	625
0	8679	625

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize1.0s (3.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (sqrt.f64 y))
✓	accuracy	34.7%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	8.0%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	94.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	68.2%	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓	accuracy	8.0%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 x) (sqrt.f64 y))
✓	accuracy	74.0%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
✓	accuracy	34.7%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	8.0%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	100.0%	(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))
✓	accuracy	94.8%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
✓	accuracy	72.2%	(+.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	8.0%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	94.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	accuracy	69.3%	(-.f64 (+.f64 #s(literal 1 binary64) y) y)
✓	accuracy	34.7%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	8.0%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

817.0ms	246×	1	valid
9.0ms	10×	0	valid

Compiler

Compiled 678 to 55 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

backward-pass: 95.0ms (33.7% of total)

ival-sqrt: 65.0ms (23.1% of total)

ival-add: 52.0ms (18.4% of total)

ival-mult: 36.0ms (12.8% of total)

ival-sub: 25.0ms (8.9% of total)

ival-div: 7.0ms (2.5% of total)

const: 1.0ms (0.4% of total)

series65.0ms (0.2%)

Counts

28 → 708

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Expression
5.0ms	z	@	(+ (+ (sqrt (+ 1 y)) (- 1 (+ (sqrt x) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))
5.0ms	t	@	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
2.0ms	x	@	(- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))
2.0ms	z	@	(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))
1.0ms	y	@	(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))

rewrite1.6s (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3146×	`-lowering-.f32`
3146×	`-lowering-.f64`
2914×	`+-lowering-+.f64`
2914×	`+-lowering-+.f32`
2654×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	428
1	550	376
2	7462	376
0	8165	376

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 812

Calls

Call 1

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

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

simplify557.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

6742×	`+-lowering-+.f64`
6742×	`+-lowering-+.f32`
2938×	`-lowering-.f32`
2938×	`-lowering-.f64`
2862×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1486	15990
1	5431	15029
2	7992	15029
0	8121	15029

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

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

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

eval561.0ms (2.1%)

Compiler: Compiled 84721 to 5851 computations (93.1% saved)

prune408.0ms (1.5%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	1833	29	1862
Fresh	13	0	13
Picked	5	0	5
Done	0	0	0
Total	1851	29	1880

Accuracy

100.0%

Counts

1880 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(-.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 y) (sqrt.f64 x)))
	34.1%	(-.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 y) (sqrt.f64 x)) (sqrt.f64 z)))
	34.5%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 z)))
▶	2.0%	(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
	69.6%	(+.f64 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	68.3%	(+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	38.9%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶	38.5%	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	66.4%	(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	45.6%	(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	39.0%	(+.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)))
	2.6%	(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	15.7%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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)))
▶	62.5%	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	44.5%	(+.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 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)))
	5.8%	(+.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)))
	11.3%	(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	6.9%	(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	10.3%	(+.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)))
▶	71.0%	(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	70.8%	(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
	68.3%	(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 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))))
	33.8%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	7.7%	(+.f64 (*.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)))
	63.8%	(+.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 y) (sqrt.f64 x))))
	65.6%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
▶	37.1%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	3.5%	(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
	7.7%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))

Compiler

Compiled 1642 to 1138 computations (30.7% saved)

simplify230.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 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 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
✓	cost-diff	0	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓	cost-diff	0	(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (sqrt.f64 x))
✓	cost-diff	0	(-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y))
✓	cost-diff	0	(+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (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 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
✓	cost-diff	0	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) z) z)
✓	cost-diff	256	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
✓	cost-diff	256	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
✓	cost-diff	256	(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))

Rules

4504×	`+-lowering-+.f64`
4504×	`+-lowering-+.f32`
2486×	`--lowering--.f32`
2486×	`--lowering--.f64`
1940×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	445
1	148	426
2	581	422
3	3685	422
4	6607	422
0	8296	422

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize623.0ms (2.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 y) (sqrt.f64 x))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	8.0%	(-.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 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
✓	accuracy	34.7%	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓	accuracy	8.0%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	100.0%	(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 y) (sqrt.f64 x))
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
✓	accuracy	9.5%	(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
✓	accuracy	74.0%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
✓	accuracy	35.6%	(-.f64 (+.f64 #s(literal 1 binary64) z) z)
✓	accuracy	8.0%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

492.0ms	244×	1	valid
7.0ms	10×	0	valid
5.0ms	2×	2	valid

Compiler

Compiled 468 to 53 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-add: 62.0ms (29% of total)

ival-sqrt: 58.0ms (27.2% of total)

backward-pass: 53.0ms (24.8% of total)

ival-sub: 21.0ms (9.8% of total)

ival-mult: 11.0ms (5.2% of total)

ival-div: 7.0ms (3.3% of total)

const: 2.0ms (0.9% of total)

series45.0ms (0.2%)

Counts

25 → 624

Calls

Call 1

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

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

156 calls:

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

rewrite419.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2742×	`-lowering-.f32`
2742×	`-lowering-.f64`
2468×	`/-lowering-/.f32`
2468×	`/-lowering-/.f64`
2370×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	297
1	507	258
2	6679	257
0	9045	257

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 617

Calls

Call 1

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

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

simplify534.0ms (2%)

Algorithm

1×	egg-herbie

Rules

6030×	`+-lowering-+.f64`
6030×	`+-lowering-+.f32`
2776×	`-lowering-.f32`
2776×	`-lowering-.f64`
2012×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1195	11970
1	4343	11014
0	8216	11014

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

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

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

eval328.0ms (1.2%)

Compiler: Compiled 52765 to 4089 computations (92.3% saved)

prune272.0ms (1%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	1417	14	1431
Fresh	8	16	24
Picked	5	0	5
Done	0	0	0
Total	1430	30	1460

Accuracy

100.0%

Counts

1460 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.1%	(-.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 y) (sqrt.f64 x)) (sqrt.f64 z)))
	34.5%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 z)))
	38.6%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	38.5%	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	37.7%	(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	69.6%	(+.f64 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	29.1%	(+.f64 (-.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	68.3%	(+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	66.4%	(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	39.0%	(+.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)))
	15.7%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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)))
	62.8%	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
	59.8%	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (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))))
▶	44.5%	(+.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 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)))
	5.8%	(+.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)))
	11.3%	(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	6.9%	(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	10.3%	(+.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)))
▶	33.8%	(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	63.4%	(+.f64 (+.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	65.6%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	62.1%	(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))
▶	88.3%	(+.f64 #s(literal 1 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 (sqrt.f64 x) (sqrt.f64 y))))
▶	6.4%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y)))
	38.0%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 t)))
	37.7%	(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	12.4%	(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))
	3.5%	(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
	7.7%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
▶	2.0%	(neg.f64 (sqrt.f64 x))

Compiler

Compiled 1538 to 1080 computations (29.8% saved)

simplify289.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3810×	`+-lowering-+.f64`
3810×	`+-lowering-+.f32`
2758×	`--lowering--.f32`
2758×	`--lowering--.f64`
1392×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	345
1	114	341
2	336	341
3	1633	341
4	4260	340
5	6845	340
0	8385	340

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize616.0ms (2.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 (sqrt.f64 y) (sqrt.f64 x))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	74.0%	(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓	accuracy	8.0%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
✓	accuracy	94.8%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
✓	accuracy	8.0%	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	100.0%	(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))
✓	accuracy	100.0%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(neg.f64 (sqrt.f64 x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 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 (sqrt.f64 x) (sqrt.f64 y))))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 x) (sqrt.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
✓	accuracy	70.0%	(-.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 (sqrt.f64 x) (sqrt.f64 y)))

Results

480.0ms	245×	1	valid
6.0ms	10×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 370 to 46 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-add: 66.0ms (33.9% of total)

ival-sqrt: 53.0ms (27.2% of total)

backward-pass: 40.0ms (20.5% of total)

ival-div: 14.0ms (7.2% of total)

ival-sub: 11.0ms (5.6% of total)

ival-mult: 8.0ms (4.1% of total)

ival-neg: 2.0ms (1% of total)

const: 1.0ms (0.5% of total)

series33.0ms (0.1%)

Counts

25 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+ (+ (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t)))
2.0ms	z	@	inf	(+ (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (* 1/2 (sqrt (/ 1 z))))
1.0ms	x	@	0	(+ (+ (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	y	@	-inf	(+ (+ (sqrt (+ 1 x)) (- (* 1/2 (sqrt (/ 1 y))) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms	x	@	0	(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))

rewrite385.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1996×	`-lowering-.f32`
1996×	`-lowering-.f64`
1774×	`/-lowering-/.f32`
1774×	`/-lowering-/.f64`
1736×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	236
1	392	225
2	4544	225
0	8010	225

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 492

Calls

Call 1

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

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

simplify444.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

6902×	`+-lowering-+.f64`
6902×	`+-lowering-+.f32`
3400×	`-lowering-.f32`
3400×	`-lowering-.f64`
1954×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1019	9598
1	3570	8608
0	8817	8608

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(- (+ 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)))
(- (+ 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 (+ (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)))))
(- (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))) (+ (sqrt x) (sqrt y)))
(- (+ (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)))
(- (+ (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)))
(- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))
(- (+ (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)))))))
(- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 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 (/ 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))
(- (+ (* -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 (+ (sqrt z) (sqrt (+ 1 z)))) (sqrt x))
(- (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt 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))
(- (+ (* -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))
(- (+ (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 x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))
(* -1 (sqrt x))
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z))))
(+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z)))))
(+ (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 (+ 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 (+ 1 y))
(+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))
(+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))
(- (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))) (* 1/8 (sqrt (/ 1 (pow z 3)))))
(sqrt (+ 1 y))
(+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))
(+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))
(+ (sqrt (+ 1 y)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z)))
(+ 1 (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))
(+ 1 (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))
(+ 1 (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))
(+ 1 (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (/ 1 (* y (+ (sqrt z) (sqrt (+ 1 z)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (/ 1 (* y (+ (sqrt z) (sqrt (+ 1 z))))))))
(* 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)))))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (- (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) (/ 1 (* y (+ (sqrt z) (sqrt (+ 1 z))))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -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)))))
(/ 1 (+ 1 (sqrt z)))
(+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))
(+ (* 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))))
(+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))
(* 1/2 (sqrt (/ 1 z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/ (- (+ (* 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)
(* -1/2 (sqrt (/ 1 z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z))
(* -1 (/ (- (+ (* -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))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
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2
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Outputs
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(* -1 (sqrt x))
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(* x (- (* 1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (sqrt (/ 1 x))))
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(* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
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(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 x) y)) (neg.f64 y))
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(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 x) y)) (neg.f64 y))
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(+.f64 (sqrt.f64 x) (sqrt.f64 y))
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eval223.0ms (0.8%)

Compiler: Compiled 38138 to 3303 computations (91.3% saved)

prune225.0ms (0.8%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	1188	25	1213
Fresh	15	10	25
Picked	5	0	5
Done	0	0	0
Total	1208	35	1243

Accuracy

100.0%

Counts

1243 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.2%	(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 y #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 x) (sqrt.f64 y)))
	45.6%	(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	69.6%	(+.f64 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	88.3%	(+.f64 (/.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 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
	29.1%	(+.f64 (-.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	68.3%	(+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	66.4%	(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	62.8%	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
	59.8%	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (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))))
	5.8%	(+.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)))
	6.9%	(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	28.6%	(+.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 (/.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)))) (sqrt.f64 x)))
	11.3%	(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
	33.8%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))
	60.2%	(+.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))))
	62.1%	(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))
	31.2%	(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)))
	6.4%	(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 y)))
	77.2%	(+.f64 #s(literal 1 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 y x) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	88.3%	(+.f64 #s(literal 1 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))) (sqrt.f64 y)))
	63.7%	(+.f64 #s(literal 1 binary64) (-.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))))
	38.0%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 t)))
	31.2%	(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y)))
	65.5%	(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	37.5%	(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	37.7%	(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
	60.2%	(+.f64 #s(literal 1 binary64) (+.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 x) (sqrt.f64 y)))))
	37.6%	(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
	6.3%	(+.f64 #s(literal 1 binary64) (sqrt.f64 t))
	6.2%	(.f64 y (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) y) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
	66.3%	(.f64 x (-.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))
	7.7%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
	7.9%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
	6.0%	(sqrt.f64 x)
	6.0%	(sqrt.f64 t)

Compiler

Compiled 2801 to 878 computations (68.7% saved)

regimes360.0ms (1.4%)

Counts

88 → 3

Calls

Call 1

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

Outputs

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

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

Calls

11 calls:

75.0ms	t
49.0ms	x
27.0ms	z
27.0ms	y
25.0ms	(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))

Results

Accuracy	Segments	Branch
97.6%	2	`x`
95.2%	2	`y`
95.0%	2	`z`
92.4%	1	`t`
99.5%	3	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))`
99.5%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`
99.2%	3	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
97.6%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
95.2%	2	`(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))`
94.9%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
92.4%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`

Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes36.0ms (0.1%)

Counts

77 → 3

Calls

Call 1

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

Outputs

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

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

(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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
99.4%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes88.0ms (0.3%)

Counts

75 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

23.0ms	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)))
19.0ms	(+.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)))
17.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
94.3%	2	`x`
94.3%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.0%	3	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))`
99.0%	3	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))`

Compiler

Compiled 62 to 46 computations (25.8% saved)

regimes93.0ms (0.4%)

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

22.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
18.0ms	z
17.0ms	y
16.0ms	x
13.0ms	(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))

Results

Accuracy	Segments	Branch
94.2%	2	`x`
94.2%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
92.3%	2	`(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))`
92.4%	2	`z`
92.7%	2	`y`

Compiler

Compiled 37 to 30 computations (18.9% saved)

regimes48.0ms (0.2%)

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

15.0ms	x
14.0ms	t
12.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
91.4%	2	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
91.4%	2	`t`
93.7%	2	`x`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes19.0ms (0.1%)

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
93.7%	2	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes19.0ms (0.1%)

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
93.5%	2	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes51.0ms (0.2%)

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

10.0ms	t
10.0ms	x
10.0ms	z
9.0ms	y
7.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
88.3%	1	`t`
88.3%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
88.3%	1	`z`
90.6%	2	`y`
88.3%	1	`x`

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes72.0ms (0.3%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

5 calls:

32.0ms	x
10.0ms	(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
9.0ms	t
9.0ms	y
9.0ms	z

Results

Accuracy	Segments	Branch
72.8%	2	`x`
87.9%	2	`z`
73.3%	2	`t`
65.6%	1	`(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))`
90.5%	3	`y`

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes34.0ms (0.1%)

Counts

28 → 3

Calls

Call 1

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

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

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

Calls

2 calls:

9.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
87.3%	2	`z`
89.3%	3	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes50.0ms (0.2%)

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

41.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
82.9%	2	`z`
73.2%	3	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes25.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

7.0ms	y
5.0ms	z
5.0ms	t
5.0ms	x

Results

Accuracy	Segments	Branch
68.1%	3	`y`
47.4%	3	`x`
48.8%	3	`t`
63.3%	3	`z`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0%)

Counts

15 → 2

Calls

Call 1

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

Outputs
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))

Calls

2 calls:

5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
55.9%	2	`z`
56.4%	2	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes20.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	y
4.0ms	x
4.0ms	z
4.0ms	t

Results

Accuracy	Segments	Branch
37.7%	1	`x`
37.7%	1	`t`
37.7%	1	`z`
37.7%	1	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes15.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.6%	1	`t`
37.6%	1	`y`
37.6%	1	`z`
37.6%	1	`x`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f64 t)
(sqrt.f64 x)
(neg.f64 (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 t))

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

Calls

4 calls:

3.0ms	t
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
6.3%	1	`y`
6.3%	1	`z`
6.3%	1	`t`
6.3%	1	`x`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0%)

Accuracy

Total -2.6b remaining (-4.3%)

Threshold costs -2.6b (-4.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(sqrt.f64 t)
(sqrt.f64 x)
(neg.f64 (sqrt.f64 x))

Outputs
(sqrt.f64 t)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
6.0%	1	`z`
6.0%	1	`t`
6.0%	1	`x`
6.0%	1	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.000000150600713	2.000000189524144
0.0ms	3.960748654208146e-5	0.9704305299950661

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch3.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.000000150600713	2.000000189524144
0.0ms	3.960748654208146e-5	0.9704305299950661

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.999996693932344	1.9999995131410895
0.0ms	3.960748654208146e-5	0.9704305299950661

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.960748654208146e-5	0.9704305299950661

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch156.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
149.0ms	0.0009011984644955632	159362242.75246263

Results

141.0ms	151×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 572 to 410 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-sub: 77.0ms (68.6% of total)

ival-sqrt: 18.0ms (16% of total)

ival-add: 10.0ms (8.9% of total)

backward-pass: 7.0ms (6.2% of total)

const: 0.0ms (0% of total)

bsearch82.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
71.0ms	0.0009011984644955632	159362242.75246263

Results

59.0ms	155×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 552 to 400 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sqrt: 18.0ms (41.2% of total)

ival-add: 10.0ms (22.9% of total)

ival-sub: 8.0ms (18.3% of total)

backward-pass: 7.0ms (16% of total)

const: 0.0ms (0% of total)

bsearch168.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
160.0ms	0.0009011984644955632	159362242.75246263

Results

153.0ms	152×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 522 to 380 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-sqrt: 117.0ms (83.5% of total)

ival-add: 10.0ms (7.1% of total)

backward-pass: 7.0ms (5% of total)

ival-sub: 6.0ms (4.3% of total)

const: 0.0ms (0% of total)

bsearch126.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
122.0ms	17747088.736027442	97274990.64384729

Results

117.0ms	89×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 300 to 222 computations (26% saved)

Precisions

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

ival-sqrt: 11.0ms (40.2% of total)

ival-add: 8.0ms (29.3% of total)

ival-sub: 4.0ms (14.6% of total)

backward-pass: 4.0ms (14.6% of total)

const: 0.0ms (0% of total)

bsearch73.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	17747088.736027442	97274990.64384729
26.0ms	6.946090744728706e-12	1.0930119482382601e-11

Results

55.0ms	155×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 414 to 318 computations (23.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sqrt: 19.0ms (44.7% of total)

ival-add: 10.0ms (23.5% of total)

backward-pass: 7.0ms (16.5% of total)

ival-sub: 6.0ms (14.1% of total)

const: 0.0ms (0% of total)

bsearch121.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	17747088.736027442	97274990.64384729
55.0ms	1.19287845523939e-27	9.29842605221722e-25

Results

87.0ms	211×	1	valid
2.0ms	13×	0	valid

Compiler

Compiled 554 to 430 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-sqrt: 29.0ms (47.2% of total)

ival-add: 14.0ms (22.8% of total)

backward-pass: 9.0ms (14.7% of total)

ival-sub: 8.0ms (13% of total)

const: 1.0ms (1.6% of total)

bsearch60.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	0.017587568418199136	7.514422687870161

Results

46.0ms	122×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 290 to 230 computations (20.7% saved)

Precisions

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

ival-sqrt: 16.0ms (45.3% of total)

ival-add: 8.0ms (22.6% of total)

ival-sub: 5.0ms (14.1% of total)

backward-pass: 5.0ms (14.1% of total)

const: 0.0ms (0% of total)

bsearch132.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	0.013789493161452991	4375.514538359207
54.0ms	5.05675828777311e-135	6.164844078500185e-132

Results

101.0ms	257×	1	valid
2.0ms	15×	0	valid

Compiler

Compiled 542 to 437 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-sqrt: 33.0ms (41.4% of total)

ival-add: 20.0ms (25.1% of total)

backward-pass: 16.0ms (20.1% of total)

ival-sub: 10.0ms (12.6% of total)

const: 1.0ms (1.3% of total)

bsearch95.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
88.0ms	0.013789493161452991	4375.514538359207

Results

82.0ms	137×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 267 to 228 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sqrt: 16.0ms (43.4% of total)

ival-add: 9.0ms (24.4% of total)

backward-pass: 6.0ms (16.3% of total)

ival-sub: 5.0ms (13.6% of total)

const: 0.0ms (0% of total)

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

140×	`+-commutative_binary64`
54×	`sub-neg_binary64`
26×	`*-commutative_binary64`
16×	`neg-mul-1_binary64`
14×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	159	851
1	241	848
2	281	848
3	302	848
4	312	848
5	313	848

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2251799993829233/1125899906842624 binary64)) (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (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)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 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 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2251799993829233/1125899906842624 binary64)) (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 9007190247541737/4503599627370496 binary64)) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 #s(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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (/.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 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (+.f64 (/.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 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 1 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 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 x #s(literal 290 binary64)) (+.f64 #s(literal 1 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))) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 y #s(literal 75000000 binary64)) (+.f64 #s(literal 1 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))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))))
(if (<=.f64 y #s(literal 3249592603124123/309485009821345068724781056 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 63000000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal 2096139380232981/5444517870735015415413993718908291383296 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (if (<=.f64 y #s(literal 35000000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))))
(if (<=.f64 z #s(literal 5764607523034235/288230376151711744 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(if (<=.f64 y #s(literal 4173573025067581/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))) (if (<=.f64 y #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 binary64) (sqrt.f64 t))
(sqrt.f64 t)

Outputs
(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 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2251799993829233/1125899906842624 binary64)) (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (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)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 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 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #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) t)) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2251799993829233/1125899906842624 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))))))
(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 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2251799993829233/1125899906842624 binary64)) (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #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) t)) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2251799993829233/1125899906842624 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 9007190247541737/4503599627370496 binary64)) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 #s(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 (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 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #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) t)) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 9007190247541737/4503599627370496 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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)))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (/.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 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 7378697629483821/147573952589676412928 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #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) t)) (sqrt.f64 t))) (+.f64 (/.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 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (+.f64 (/.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 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (+.f64 (/.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 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 1 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 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(if (<=.f64 x #s(literal 290 binary64)) (+.f64 #s(literal 1 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))) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 x #s(literal 290 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 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(if (<=.f64 y #s(literal 75000000 binary64)) (+.f64 #s(literal 1 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))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))))
(if (<=.f64 y #s(literal 75000000 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))))
(if (<=.f64 y #s(literal 3249592603124123/309485009821345068724781056 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 63000000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal 3249592603124123/309485009821345068724781056 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 63000000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal 2096139380232981/5444517870735015415413993718908291383296 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (if (<=.f64 y #s(literal 35000000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal 2096139380232981/5444517870735015415413993718908291383296 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (if (<=.f64 y #s(literal 35000000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))))
(if (<=.f64 z #s(literal 5764607523034235/288230376151711744 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))) (+.f64 #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 5764607523034235/288230376151711744 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(if (<=.f64 y #s(literal 4173573025067581/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))) (if (<=.f64 y #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal 4173573025067581/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 y))) (if (<=.f64 y #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(if (<=.f64 y #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(if (<=.f64 y #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 #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 binary64) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 t))
(sqrt.f64 t)

soundness3.9s (14.6%)

Rules

6902×	`+-lowering-+.f64`
6902×	`+-lowering-+.f32`
6742×	`+-lowering-+.f64`
6742×	`+-lowering-+.f32`
6030×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	297
1	507	258
2	6679	257
0	9045	257
0	36	165
1	339	162
2	3840	162
0	8513	162
0	651	6678
1	2175	5975
2	7417	5972
0	8013	5972
0	1019	9598
1	3570	8608
0	8817	8608
0	1486	15990
1	5431	15029
2	7992	15029
0	8121	15029
0	45	236
1	392	225
2	4544	225
0	8010	225
0	1195	11970
1	4343	11014
0	8216	11014
0	54	428
1	550	376
2	7462	376
0	8165	376

Stop Event

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

Compiler

Compiled 3988 to 2340 computations (41.3% saved)

preprocess140.0ms (0.5%)

Compiler: Compiled 2468 to 648 computations (73.7% saved)

analyze203.0ms (0.8%)

sample8.7s (32.7%)

preprocess293.0ms (1.1%)

explain562.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify287.0ms (1.1%)

localize408.0ms (1.5%)

series48.0ms (0.2%)

rewrite330.0ms (1.2%)

simplify378.0ms (1.4%)

eval131.0ms (0.5%)

prune110.0ms (0.4%)

simplify254.0ms (1%)

localize1.0s (3.8%)

series65.0ms (0.2%)

rewrite1.6s (5.9%)

simplify557.0ms (2.1%)

eval561.0ms (2.1%)

prune408.0ms (1.5%)

simplify230.0ms (0.9%)

localize623.0ms (2.3%)

series45.0ms (0.2%)

rewrite419.0ms (1.6%)

simplify534.0ms (2%)

eval328.0ms (1.2%)

prune272.0ms (1%)

simplify289.0ms (1.1%)

localize616.0ms (2.3%)

series33.0ms (0.1%)

rewrite385.0ms (1.4%)

simplify444.0ms (1.7%)

eval223.0ms (0.8%)

prune225.0ms (0.8%)

regimes360.0ms (1.4%)

regimes36.0ms (0.1%)

regimes88.0ms (0.3%)

regimes93.0ms (0.4%)

regimes48.0ms (0.2%)

regimes19.0ms (0.1%)

regimes19.0ms (0.1%)

regimes51.0ms (0.2%)

regimes72.0ms (0.3%)

regimes34.0ms (0.1%)

regimes50.0ms (0.2%)

regimes25.0ms (0.1%)

regimes12.0ms (0%)

regimes20.0ms (0.1%)

regimes15.0ms (0.1%)

regimes11.0ms (0%)

regimes8.0ms (0%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch156.0ms (0.6%)

bsearch82.0ms (0.3%)

bsearch168.0ms (0.6%)

bsearch126.0ms (0.5%)

bsearch73.0ms (0.3%)

bsearch121.0ms (0.5%)

bsearch60.0ms (0.2%)

bsearch132.0ms (0.5%)

bsearch95.0ms (0.4%)

simplify28.0ms (0.1%)

soundness3.9s (14.6%)

preprocess140.0ms (0.5%)

end0.0ms (0%)

Profiling