Main:z from

Time bar (total: 26.9s)

analyze338.0ms (1.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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: 272.0ms
ival-sqrt: 161.0ms (59.2% of total)
ival-add: 64.0ms (23.5% of total)
ival-sub: 45.0ms (16.6% of total)
const: 1.0ms (0.4% of total)
backward-pass: 0.0ms (0% of total)

sample8.4s (31.1%)

Results
3.2s7583×1valid
3.1s15770×0invalid
138.0ms673×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.1s
ival-sqrt: 2.5s (50% of total)
ival-add: 1.3s (26.4% of total)
ival-sub: 865.0ms (17.1% of total)
backward-pass: 285.0ms (5.6% of total)
const: 40.0ms (0.8% of total)
Bogosity

preprocess359.0ms (1.3%)

Algorithm
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)

IterNodesCost
074470
1280447
21632447
36540447
02430
15529
222029
3163029
4549329
0839929
Stop Event
iter limit
node limit
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)

explain467.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2330-0-(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
1720-0-(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
750-1(1.7348388244091026e-84 25.71224168761298 2.1562732356932073e+111 1.5182381303607872e+133)(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
110-0-(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
00-0-x
00-0-(sqrt.f64 t)
00-0-(+.f64 z #s(literal 1 binary64))
00-0-(+.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)))
00-0-(+.f64 t #s(literal 1 binary64))
00-0-z
00-0-(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-y
00-0-(+.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)))
00-0-(+.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)))
00-0-(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
00-0-(sqrt.f64 y)
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-(sqrt.f64 z)
00-0-(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-t
00-0-(+.f64 y #s(literal 1 binary64))
00-0-(sqrt.f64 x)
Results
341.0ms464×1valid
10.0ms48×0valid
Compiler

Compiled 321 to 74 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 236.0ms
ival-sqrt: 133.0ms (56.3% of total)
backward-pass: 48.0ms (20.3% of total)
ival-add: 35.0ms (14.8% of total)
ival-sub: 19.0ms (8% of total)
const: 1.0ms (0.4% of total)

eval0.0ms (0%)

Compiler

Compiled 35 to 24 computations (31.4% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
34.5%
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
92.1%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 70 to 48 computations (31.4% saved)

simplify316.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff0
(+.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-diff0
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff0
(+.f64 (-.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-diff0
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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-diff0
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.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)

IterNodesCost
036274
194271
2380271
32841271
45355271
08423271
Stop Event
iter limit
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)

localize1.3s (4.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy96.2%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy74.1%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
accuracy37.1%
(+.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))))
accuracy20.8%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
accuracy96.2%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy74.1%
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy37.1%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Results
1.2s232×1valid
15.0ms24×0valid
Compiler

Compiled 282 to 37 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
backward-pass: 873.0ms (76.3% of total)
ival-add: 210.0ms (18.3% of total)
ival-sqrt: 46.0ms (4% of total)
ival-sub: 15.0ms (1.3% of total)
const: 1.0ms (0.1% of total)

series31.0ms (0.1%)

Counts
13 → 288
Calls
Call 1
Inputs
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))>
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))>
#<alt (- (sqrt (+ x 1)) (sqrt x))>
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))))>
#<alt (sqrt (+ x 1))>
#<alt (+ x 1)>
#<alt (- (sqrt (+ t 1)) (sqrt t))>
#<alt (- (sqrt (+ z 1)) (sqrt z))>
#<alt (- (sqrt (+ y 1)) (sqrt y))>
#<alt (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))>
#<alt (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
Outputs
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
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#<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)))))>
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#<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))))>
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#<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)))))>
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#<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))))>
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#<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)))))>
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#<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))))>
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#<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))))>
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#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
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#<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)))>
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#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
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#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
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#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))>
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#<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)))>
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#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
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#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
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#<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)))>
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#<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))>
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#<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))>
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#<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)>
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#<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:

TimeVariablePointExpression
3.0ms
x
@inf
(- (sqrt (+ x 1)) (sqrt x))
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
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)))

rewrite384.0ms (1.4%)

Algorithm
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)

IterNodesCost
036165
1339162
23818162
08336162
Stop Event
iter limit
node limit
Counts
13 → 328
Calls
Call 1
Inputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))
(- (sqrt (+ x 1)) (sqrt x))
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))))
(sqrt (+ x 1))
(+ x 1)
(- (sqrt (+ t 1)) (sqrt t))
(- (sqrt (+ z 1)) (sqrt z))
(- (sqrt (+ y 1)) (sqrt y))
(- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))
(+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))
(- (sqrt (+ 1 y)) (sqrt y))
Outputs
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (sqrt.f64 z))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (sqrt.f64 z))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 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)) (-.f64 (sqrt.f64 y) (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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
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(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 z))) t) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 t)))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 t) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 t))
(-.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 t))
(-.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 t)) (sqrt.f64 z))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))

simplify349.0ms (1.3%)

Algorithm
egg-herbie
Rules
5940×+-lowering-+.f64
5940×+-lowering-+.f32
3692×--lowering--.f32
3692×--lowering--.f64
1800×associate--l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06516678
121755975
274125972
080085972
Stop Event
iter limit
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))))
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(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
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Outputs
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(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))
(/.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))

eval100.0ms (0.4%)

Compiler

Compiled 32421 to 2478 computations (92.4% saved)

prune136.0ms (0.5%)

Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New66331694
Fresh000
Picked202
Done000
Total66531696
Accuracy
99.4%
Counts
696 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.6%
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
42.8%
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
40.6%
(+.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (sqrt.f64 z) (+.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
84.4%
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
11.8%
(+.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)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))))
12.6%
(+.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 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))))
75.8%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
35.8%
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
92.1%
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #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)))
92.2%
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
92.1%
(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.4%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
92.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
93.0%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
62.1%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
92.4%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.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)))))
83.7%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t))
84.3%
(+.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))))
35.7%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
64.2%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
67.4%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
30.0%
(+.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)))
68.4%
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
9.5%
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
48.0%
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (-.f64 (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)))
45.9%
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
25.5%
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
49.1%
(+.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)))
34.6%
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
37.6%
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))
42.7%
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))))
Compiler

Compiled 2374 to 1588 computations (33.1% saved)

simplify244.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff256
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
cost-diff256
(+.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-diff256
(+.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-diff256
(+.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)))
cost-diff0
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
cost-diff0
(-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x))
cost-diff0
(+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff0
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
cost-diff0
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y)))
cost-diff0
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (-.f64 (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-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
cost-diff0
(+.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-diff0
(+.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-diff256
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
cost-diff320
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
cost-diff320
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))
cost-diff320
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Rules
4168×+-lowering-+.f64
4168×+-lowering-+.f32
2188×--lowering--.f32
2188×--lowering--.f64
2004×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057694
1174661
2761652
35774652
47339652
08116652
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2))))
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
x
1
(sqrt x)
(- (sqrt (+ y 1)) (sqrt y))
(sqrt (+ y 1))
(+ y 1)
y
(sqrt y)
(/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))
(- (+ 1 z) z)
(+ 1 z)
z
(+ (sqrt z) (pow (+ 1 z) 1/2))
(sqrt z)
(pow (+ 1 z) 1/2)
1/2
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(sqrt (+ 1 y))
(+ 1 y)
1
y
(- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))
(- (sqrt (+ 1 x)) (sqrt x))
(sqrt (+ 1 x))
(+ 1 x)
x
(sqrt x)
(sqrt y)
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(+ (+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))
(sqrt (+ 1 y))
(+ 1 y)
1
y
(* 1/2 (sqrt (/ 1 z)))
1/2
(sqrt (/ 1 z))
(/ 1 z)
z
(- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))
(- (sqrt (+ 1 x)) (sqrt x))
(sqrt (+ 1 x))
(+ 1 x)
x
(sqrt x)
(sqrt y)
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z)))
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x))
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y))
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y)))
(+ 1 (* x 1/2))
1
(* x 1/2)
x
1/2
(sqrt (+ 1 y))
(+ 1 y)
y
(sqrt y)
(sqrt x)
(- (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)) (/ (- (+ 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)
Outputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)))
(- (sqrt (+ x 1)) (sqrt x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt (+ x 1))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
(- (sqrt (+ y 1)) (sqrt y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt (+ y 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ y 1)
(+.f64 #s(literal 1 binary64) y)
y
(sqrt y)
(sqrt.f64 y)
(/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(- (+ 1 z) z)
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
z
(+ (sqrt z) (pow (+ 1 z) 1/2))
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(sqrt z)
(sqrt.f64 z)
(pow (+ 1 z) 1/2)
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
1/2
#s(literal 1/2 binary64)
(- (sqrt (+ t 1)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt (+ t 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ t 1)
(+.f64 #s(literal 1 binary64) t)
t
(sqrt t)
(sqrt.f64 t)
(+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 y)))
(+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)))
(sqrt (+ 1 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (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)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(sqrt (+ 1 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
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 (+ 1 x)) (sqrt x)) (sqrt y))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(- (sqrt (+ 1 x)) (sqrt x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt (+ 1 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(sqrt x)
(sqrt.f64 x)
(sqrt y)
(sqrt.f64 y)
(- (sqrt (+ t 1)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt (+ t 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ t 1)
(+.f64 #s(literal 1 binary64) t)
t
(sqrt t)
(sqrt.f64 t)
(+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z)))
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y))))
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y))
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
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 y)
(sqrt.f64 y)
(sqrt x)
(sqrt.f64 x)
(- (sqrt (+ z 1)) (sqrt z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt (+ z 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+ z 1)
(+.f64 #s(literal 1 binary64) z)
z
(sqrt z)
(sqrt.f64 z)
(- (sqrt (+ t 1)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt (+ t 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ t 1)
(+.f64 #s(literal 1 binary64) t)
t
(sqrt t)
(sqrt.f64 t)
(+ (+ (+ (- (sqrt (+ 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 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)

localize677.0ms (2.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy96.2%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy75.8%
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
accuracy37.1%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
accuracy80.9%
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
accuracy37.1%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy96.2%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy78.3%
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y)))
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
accuracy96.2%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy78.3%
(+.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)))
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy96.2%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy74.1%
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy39.1%
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Results
494.0ms232×1valid
15.0ms24×0valid
Compiler

Compiled 731 to 58 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-add: 71.0ms (31.4% of total)
ival-sqrt: 43.0ms (19% of total)
backward-pass: 40.0ms (17.7% of total)
ival-sub: 26.0ms (11.5% of total)
ival-pow: 26.0ms (11.5% of total)
ival-div: 13.0ms (5.7% of total)
ival-mult: 7.0ms (3.1% of total)
const: 1.0ms (0.4% of total)

series95.0ms (0.4%)

Counts
27 → 660
Calls
Call 1
Inputs
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2))))>
#<alt (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))>
#<alt (- (+ 1 z) z)>
#<alt (+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))>
#<alt (sqrt (+ 1 y))>
#<alt (+ 1 y)>
#<alt (+ (+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))>
#<alt (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))>
#<alt (+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z)))>
#<alt (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x))>
#<alt (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y))>
#<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 (+ t 1)) (sqrt t))>
#<alt (- (sqrt (+ y 1)) (sqrt y))>
#<alt (- (sqrt (+ x 1)) (sqrt x))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (sqrt (/ 1 z))>
#<alt (- (sqrt (+ z 1)) (sqrt z))>
#<alt (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y)))>
#<alt (- (+ 1 y) y)>
Outputs
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
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#<alt (- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))>
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#<alt (/ 1 (+ 1 (sqrt y)))>
#<alt (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
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#<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 (/ (- (+ (* 1/16 (* (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))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y))>
#<alt (- 1 (sqrt t))>
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))>
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#<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)>
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#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))>
#<alt (- 1 (sqrt 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)))>
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#<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 x))>
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))>
#<alt (- 1 (sqrt x))>
#<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)>
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#<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 (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))>
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#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))>
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))>
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#<alt (* 1/2 x)>
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#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))>
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#<alt (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y)))))>
#<alt (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))>
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#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y)))))>
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#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
Calls

165 calls:

TimeVariablePointExpression
29.0ms
x
@0
(+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y))))
2.0ms
y
@inf
(+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))
2.0ms
x
@-inf
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2))))
1.0ms
z
@0
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms
y
@0
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))

rewrite766.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
3014×*-lowering-*.f32
3014×*-lowering-*.f64
2590×/-lowering-/.f32
2590×/-lowering-/.f64
2448×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057420
1587356
08219356
Stop Event
iter limit
node limit
Counts
27 → 784
Calls
Call 1
Inputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2))))
(/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))
(- (+ 1 z) z)
(+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(sqrt (+ 1 y))
(+ 1 y)
(+ (+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))
(+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z)))
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x))
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y))
(+ (+ (+ (- (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 (+ t 1)) (sqrt t))
(- (sqrt (+ y 1)) (sqrt y))
(- (sqrt (+ x 1)) (sqrt x))
(- (sqrt (+ 1 x)) (sqrt x))
(sqrt (/ 1 z))
(- (sqrt (+ z 1)) (sqrt z))
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y)))
(- (+ 1 y) y)
Outputs
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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) 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 (-.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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 t))))
(+.f64 (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (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 (sqrt.f64 t) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 z) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 t))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 2 binary64)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))) (/.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))))
(-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 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 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))) (+.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))) (-.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 2 binary64)) (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 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 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 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) #s(literal 3 binary64))) (+.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 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 2 binary64)) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))) (*.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (+.f64 #s(literal 1 binary64) t) t))) (*.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
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(/.f64 (*.f64 (*.f64 (+.f64 (*.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 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)))) (-.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
#s(literal 1 binary64)

simplify489.0ms (1.8%)

Algorithm
egg-herbie
Rules
7296×+-lowering-+.f64
7296×+-lowering-+.f32
3160×*-lowering-*.f32
3160×*-lowering-*.f64
2910×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0155615757
1571314969
0818614969
Stop Event
iter limit
node limit
Counts
660 → 660
Calls
Call 1
Inputs
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3))))))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (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)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (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)))
(- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))
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(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(- 1 (sqrt z))
(- (+ 1 (* 1/2 z)) (sqrt z))
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
(* 1/2 (sqrt (/ 1 z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)
(* -1/2 (sqrt (/ 1 z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))
(+ 1 (sqrt (+ 1 y)))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))
(* 1/2 x)
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))
(+ 2 (* 1/2 x))
(+ 2 (+ (* 1/2 x) (* 1/2 y)))
(+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y)))))
(+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (/ 1 y))))
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y)))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
1
1
1
1
1
1
1
1
1
1
1
1
Outputs
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt y)))
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
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(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(* -1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.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))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.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)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.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)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (neg.f64 x))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.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)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.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 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(* -1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.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))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.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)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.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)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (neg.f64 x))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(/.f64 (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 z))
(-.f64 #s(literal 1 binary64) (sqrt.f64 z))
(- (+ 1 (* 1/2 z)) (sqrt z))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 z))
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 z)))
(* 1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/.f64 (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64))) (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))))) z)
(* -1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (neg.f64 z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 #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 (sqrt (+ 1 y)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x))))
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x))))
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 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 x) (* y (+ 1/2 (* -1/8 y)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))))
(+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))
(sqrt y)
(sqrt.f64 y)
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (/ 1 y))))
(+.f64 (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y)))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x y))) (/.f64 #s(literal 1 binary64) y))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y))))))
(+.f64 (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (+.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x y)))) #s(literal 1 binary64)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) y))))
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)) (neg.f64 y))
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.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))) y))) y)) (neg.f64 y))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)

eval346.0ms (1.3%)

Compiler

Compiled 87166 to 5725 computations (93.4% saved)

prune337.0ms (1.3%)

Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New1828311859
Fresh20626
Picked505
Done000
Total1853371890
Accuracy
100.0%
Counts
1890 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
13.7%
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
33.4%
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))
66.7%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
65.8%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
29.9%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
29.6%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
48.9%
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
84.4%
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
35.1%
(+.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)))
16.4%
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
40.6%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
76.1%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.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))))
67.5%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t))
11.8%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 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))))) (sqrt.f64 t))))
9.4%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t))))
32.4%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
48.1%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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)))
92.1%
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #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)))
92.2%
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
92.1%
(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.4%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
9.9%
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
9.5%
(+.f64 (+.f64 (+.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)))
5.0%
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
29.1%
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
41.9%
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
43.5%
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
48.6%
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
3.8%
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
85.4%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
63.2%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
64.2%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
57.4%
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
34.3%
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
2.3%
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
7.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
Compiler

Compiled 2438 to 1658 computations (32% saved)

simplify231.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
cost-diff0
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff0
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
cost-diff0
(+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))
cost-diff0
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
cost-diff0
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
cost-diff256
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
cost-diff256
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff256
(+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff256
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Rules
5246×+-lowering-+.f64
5246×+-lowering-+.f32
2774×--lowering--.f32
2774×--lowering--.f64
1522×distribute-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058552
1158542
2594497
33512493
45737493
08123493
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)))
(/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x)))
(- (+ x 1) x)
(+ x 1)
x
1
(+ (sqrt (+ x 1)) (sqrt x))
(sqrt (+ 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)
(* 1/2 (sqrt (/ 1 z)))
1/2
(sqrt (/ 1 z))
(/ 1 z)
1
z
(+ 1 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x)))))
1
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x))))
(+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2)))
(sqrt (+ 1 t))
(+ 1 t)
t
(+ (sqrt (+ 1 z)) (* x 1/2))
(sqrt (+ 1 z))
(+ 1 z)
z
(* x 1/2)
x
1/2
(+ (sqrt t) (+ (sqrt z) (sqrt x)))
(sqrt t)
(+ (sqrt z) (sqrt x))
(sqrt z)
(sqrt x)
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z))))
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))
(+ 2 (sqrt (+ 1 t)))
2
(sqrt (+ 1 t))
(+ 1 t)
1
t
(+ (sqrt (+ 1 z)) (* x 1/2))
(sqrt (+ 1 z))
(+ 1 z)
z
(* x 1/2)
x
1/2
(+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z)))
(sqrt t)
(+ (+ (sqrt x) (sqrt y)) (sqrt z))
(+ (sqrt x) (sqrt y))
(sqrt x)
(sqrt y)
y
(sqrt z)
(+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))))
(* 1/2 (sqrt (/ 1 x)))
1/2
(sqrt (/ 1 x))
(/ 1 x)
1
x
(/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))
(+ (sqrt (+ 1 y)) (sqrt y))
(sqrt (+ 1 y))
(+ 1 y)
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)
Outputs
(+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.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 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.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))))
(+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(- (+ x 1) x)
#s(literal 1 binary64)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(+ (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)))
(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)
(* 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)
1
#s(literal 1 binary64)
z
(+ 1 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))))
1
#s(literal 1 binary64)
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))
(sqrt (+ 1 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
t
(+ (sqrt (+ 1 z)) (* x 1/2))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #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
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(+ (sqrt t) (+ (sqrt z) (sqrt x)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(sqrt t)
(sqrt.f64 t)
(+ (sqrt z) (sqrt x))
(+.f64 (sqrt.f64 x) (sqrt.f64 z))
(sqrt z)
(sqrt.f64 z)
(sqrt x)
(sqrt.f64 x)
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(+ 2 (sqrt (+ 1 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt (+ 1 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
1
#s(literal 1 binary64)
t
(+ (sqrt (+ 1 z)) (* x 1/2))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #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
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z)))
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(sqrt t)
(sqrt.f64 t)
(+ (+ (sqrt x) (sqrt y)) (sqrt z))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+ (sqrt x) (sqrt y))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt x)
(sqrt.f64 x)
(sqrt y)
(sqrt.f64 y)
y
(sqrt z)
(sqrt.f64 z)
(+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(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 (+ (sqrt (+ 1 y)) (sqrt y)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(+ (sqrt (+ 1 y)) (sqrt y))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt (+ 1 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(sqrt y)
(sqrt.f64 y)
(- (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)

localize533.0ms (2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy37.1%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy99.9%
(+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))
accuracy99.9%
(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))
accuracy99.9%
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
accuracy13.6%
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
accuracy99.9%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))
accuracy99.9%
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
accuracy99.9%
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
accuracy13.9%
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy96.6%
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy74.1%
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy37.1%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Results
372.0ms232×1valid
13.0ms24×0valid
Compiler

Compiled 563 to 59 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-add: 73.0ms (35.7% of total)
ival-sqrt: 52.0ms (25.4% of total)
backward-pass: 34.0ms (16.6% of total)
ival-sub: 17.0ms (8.3% of total)
ival-div: 16.0ms (7.8% of total)
ival-mult: 12.0ms (5.9% of total)
const: 1.0ms (0.5% of total)

series56.0ms (0.2%)

Counts
28 → 708
Calls
Call 1
Inputs
#<alt (+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))>
#<alt (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)))>
#<alt (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x)))>
#<alt (* 1/2 (sqrt (/ 1 z)))>
#<alt (sqrt (/ 1 z))>
#<alt (/ 1 z)>
#<alt (+ 1 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x))))>
#<alt (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2)))>
#<alt (sqrt (+ 1 t))>
#<alt (- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z))))>
#<alt (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))>
#<alt (+ 2 (sqrt (+ 1 t)))>
#<alt (+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))>
#<alt (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (- (sqrt (+ t 1)) (sqrt t))>
#<alt (- (sqrt (+ z 1)) (sqrt z))>
#<alt (- (sqrt (+ y 1)) (sqrt y))>
#<alt (- (+ x 1) x)>
#<alt (+ (sqrt t) (+ (sqrt z) (sqrt x)))>
#<alt (+ (sqrt x) (sqrt y))>
#<alt (+ (+ (sqrt x) (sqrt y)) (sqrt z))>
#<alt (+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z)))>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))>
Outputs
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<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)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow x 3))))))))>
#<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 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (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)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* -1/8 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (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)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (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))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z)))>
#<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)))>
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#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))>
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))>
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (sqrt t)>
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))>
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))>
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))>
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (sqrt y)>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (sqrt z)>
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))>
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))>
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 (+ 1 (sqrt y)))>
#<alt (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)>
#<alt (/ (- (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))) (* 1/8 (sqrt (/ 1 y)))) y)>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow y 7))) (* 1/32 (sqrt (pow y 7)))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 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 (/ (- (+ (* 1/16 (* (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))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y))>
Calls

177 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
4.0ms
z
@0
(+ 1 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x)))))
1.0ms
x
@-inf
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))
1.0ms
x
@0
(+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms
x
@inf
(+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))

rewrite409.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
3140×*-lowering-*.f32
3140×*-lowering-*.f64
2852×+-lowering-+.f64
2852×+-lowering-+.f32
2652×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058348
1544309
26690309
08681309
Stop Event
iter limit
node limit
Counts
28 → 612
Calls
Call 1
Inputs
(+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)))
(/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x)))
(* 1/2 (sqrt (/ 1 z)))
(sqrt (/ 1 z))
(/ 1 z)
(+ 1 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x)))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x))))
(+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2)))
(sqrt (+ 1 t))
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z))))
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))
(+ 2 (sqrt (+ 1 t)))
(+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))))
(* 1/2 (sqrt (/ 1 x)))
(- (sqrt (+ t 1)) (sqrt t))
(- (sqrt (+ z 1)) (sqrt z))
(- (sqrt (+ y 1)) (sqrt y))
(- (+ x 1) x)
(+ (sqrt t) (+ (sqrt z) (sqrt x)))
(+ (sqrt x) (sqrt y))
(+ (+ (sqrt x) (sqrt y)) (sqrt z))
(+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z)))
(sqrt (/ 1 x))
(/ 1 (+ (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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))))
(+.f64 (-.f64 (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) y)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))))
(+.f64 (+.f64 (-.f64 (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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(+.f64 (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))
(+.f64 (-.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (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)) (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 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(+.f64 (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 z) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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) 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (-.f64 (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)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))))))
(-.f64 (-.f64 (+.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)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.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)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 z) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))
(-.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) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))))
(-.f64 (/.f64 (pow.f64 (+.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 (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 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))) (/.f64 (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 (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) y)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))))
(-.f64 (+.f64 (-.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (sqrt.f64 z))
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simplify530.0ms (2%)

Algorithm
egg-herbie
Rules
6826×+-lowering-+.f64
6826×+-lowering-+.f32
3020×*-lowering-*.f32
3020×*-lowering-*.f64
2050×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0130914475
1482113328
0866613328
Stop Event
iter limit
node limit
Counts
708 → 708
Calls
Call 1
Inputs
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
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1
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3
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(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (sqrt x) (sqrt y))
(+ (sqrt x) (sqrt y))
(+ (sqrt x) (sqrt y))
(+ (sqrt x) (sqrt y))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))
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(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (sqrt x) (sqrt y))
(+ (sqrt x) (sqrt y))
(+ (sqrt x) (sqrt y))
(+ (sqrt x) (sqrt y))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(+ (sqrt x) (+ (sqrt y) (sqrt z)))
(sqrt y)
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(+ (sqrt x) (+ (sqrt y) (sqrt z)))
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(sqrt z)
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))
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(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
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(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))
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(sqrt x)
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(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 (+ 1 (sqrt y)))
(+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))
(+ (* 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))))
(+ (* 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))))
(* 1/2 (sqrt (/ 1 y)))
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))) (* 1/8 (sqrt (/ 1 y)))) y)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow y 7))) (* 1/32 (sqrt (pow y 7)))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 y))))) y)
(* -1/2 (sqrt (/ 1 y)))
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(* -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))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y))
Outputs
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eval266.0ms (1%)

Compiler

Compiled 59133 to 4421 computations (92.5% saved)

prune275.0ms (1%)

Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New1379161395
Fresh112132
Picked415
Done000
Total1394381432
Accuracy
100.0%
Counts
1432 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
48.0%
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
31.5%
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
32.0%
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
13.7%
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
14.0%
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
32.2%
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
66.7%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
65.8%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
29.9%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
29.6%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
48.9%
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
84.4%
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
35.1%
(+.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)))
90.4%
(+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
39.2%
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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)))
40.6%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
76.1%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.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))))
9.4%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t))))
32.4%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
48.1%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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)))
33.5%
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.4%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
29.1%
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
41.9%
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
43.5%
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
9.9%
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
85.4%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
63.2%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
64.2%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
11.8%
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
60.4%
(+.f64 #s(literal 2 binary64) (-.f64 (+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
34.7%
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
57.4%
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
34.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
7.8%
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
7.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
9.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 2230 to 1543 computations (30.8% saved)

simplify363.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
cost-diff0
(-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x))
cost-diff128
(+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
cost-diff128
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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-diff0
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))))
cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y)))
cost-diff0
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
cost-diff0
(+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))
cost-diff0
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
cost-diff0
(sqrt.f64 z)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff0
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
cost-diff0
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff0
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Rules
5150×+-lowering-+.f64
5150×+-lowering-+.f32
2474×--lowering--.f32
2474×--lowering--.f64
2086×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065572
1181556
2728547
34654547
47914547
08279547
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y)))))
(- (sqrt (+ x 1)) (sqrt x))
(sqrt (+ x 1))
(+ x 1)
x
1
(sqrt x)
(/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))
(- (pow (+ 1 y) 3/2) (pow y 3/2))
(pow (+ 1 y) 3/2)
(+ 1 y)
y
3/2
(pow y 3/2)
(+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y)))
(+ (+ 1 y) y)
(sqrt (* (+ 1 y) y))
(* (+ 1 y) y)
(- (sqrt (+ z 1)) (sqrt z))
(sqrt (+ z 1))
(+ z 1)
z
(sqrt z)
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(/ 1/2 (sqrt z))
1/2
(sqrt z)
z
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (sqrt z)))
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))
(+ 2 (sqrt (+ 1 t)))
2
(sqrt (+ 1 t))
(+ 1 t)
1
t
(+ (sqrt (+ 1 z)) (* x 1/2))
(sqrt (+ 1 z))
(+ 1 z)
z
(* x 1/2)
x
1/2
(+ (sqrt t) (sqrt z))
(sqrt t)
(sqrt z)
(+ (+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(+ 1 (* y (+ 1/2 (* y -1/8))))
1
(* y (+ 1/2 (* y -1/8)))
y
(+ 1/2 (* y -1/8))
1/2
(* y -1/8)
-1/8
(- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))
(- (sqrt (+ 1 x)) (sqrt x))
(sqrt (+ 1 x))
(+ 1 x)
x
(sqrt x)
(sqrt y)
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
(+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z))))
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x))
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y))
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y)))
(+ 1 (* x 1/2))
1
(* x 1/2)
x
1/2
(sqrt (+ 1 y))
(+ 1 y)
y
(sqrt y)
(sqrt x)
(* 1/2 (sqrt (/ 1 z)))
(sqrt (/ 1 z))
(/ 1 z)
z
(- (sqrt (+ t 1)) (sqrt t))
(sqrt (+ t 1))
(+ t 1)
t
(sqrt t)
Outputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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)
(/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 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 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(- (pow (+ 1 y) 3/2) (pow y 3/2))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(pow (+ 1 y) 3/2)
(pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
3/2
#s(literal 3/2 binary64)
(pow y 3/2)
(pow.f64 y #s(literal 3/2 binary64))
(+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(+ (+ 1 y) y)
(+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(sqrt (* (+ 1 y) y))
(sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(* (+ 1 y) y)
(*.f64 y (+.f64 #s(literal 1 binary64) y))
(- (sqrt (+ z 1)) (sqrt z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt (+ z 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+ z 1)
(+.f64 #s(literal 1 binary64) z)
z
(sqrt z)
(sqrt.f64 z)
(- (sqrt (+ t 1)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt (+ t 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ t 1)
(+.f64 #s(literal 1 binary64) t)
t
(sqrt t)
(sqrt.f64 t)
(/ 1/2 (sqrt z))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
1/2
#s(literal 1/2 binary64)
(sqrt z)
(sqrt.f64 z)
z
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (sqrt z)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(+ 2 (sqrt (+ 1 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt (+ 1 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
1
#s(literal 1 binary64)
t
(+ (sqrt (+ 1 z)) (* x 1/2))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #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
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(+ (sqrt t) (sqrt z))
(+.f64 (sqrt.f64 z) (sqrt.f64 t))
(sqrt t)
(sqrt.f64 t)
(sqrt z)
(sqrt.f64 z)
(+ (+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+ 1 (* y (+ 1/2 (* y -1/8))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))))
1
#s(literal 1 binary64)
(* y (+ 1/2 (* y -1/8)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))
y
(+ 1/2 (* y -1/8))
(+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))
1/2
#s(literal 1/2 binary64)
(* y -1/8)
(*.f64 y #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(- (sqrt (+ 1 x)) (sqrt x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt (+ 1 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(sqrt x)
(sqrt.f64 x)
(sqrt y)
(sqrt.f64 y)
(- (sqrt (+ t 1)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt (+ t 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ t 1)
(+.f64 #s(literal 1 binary64) t)
t
(sqrt t)
(sqrt.f64 t)
(+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t)))
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z))))
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
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 y)
(sqrt.f64 y)
(sqrt x)
(sqrt.f64 x)
(* 1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
z
(- (sqrt (+ t 1)) (sqrt t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt (+ t 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+ t 1)
(+.f64 #s(literal 1 binary64) t)
t
(sqrt t)
(sqrt.f64 t)

localize650.0ms (2.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy80.9%
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy100.0%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))
accuracy99.9%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y)))
accuracy96.2%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
accuracy99.9%
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))
accuracy99.9%
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
accuracy13.7%
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
accuracy100.0%
(sqrt.f64 z)
accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
accuracy96.2%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy74.1%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
accuracy37.1%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy13.5%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Results
462.0ms232×1valid
47.0ms24×0valid
Compiler

Compiled 602 to 66 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-add: 90.0ms (28% of total)
ival-pow: 89.0ms (27.7% of total)
ival-sqrt: 47.0ms (14.6% of total)
backward-pass: 39.0ms (12.1% of total)
ival-sub: 22.0ms (6.9% of total)
ival-mult: 21.0ms (6.5% of total)
ival-div: 10.0ms (3.1% of total)
const: 2.0ms (0.6% of total)

series68.0ms (0.3%)

Counts
26 → 576
Calls
Call 1
Inputs
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z)))>
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y)))))>
#<alt (- (sqrt (+ x 1)) (sqrt x))>
#<alt (/ 1/2 (sqrt z))>
#<alt (sqrt z)>
#<alt (- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (sqrt z)))>
#<alt (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))>
#<alt (+ 2 (sqrt (+ 1 t)))>
#<alt (sqrt (+ 1 t))>
#<alt (+ (+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))>
#<alt (+ 1 (* y (+ 1/2 (* y -1/8))))>
#<alt (* y (+ 1/2 (* y -1/8)))>
#<alt (+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t)))>
#<alt (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z))))>
#<alt (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x))>
#<alt (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y))>
#<alt (- (sqrt (+ t 1)) (sqrt t))>
#<alt (- (sqrt (+ z 1)) (sqrt z))>
#<alt (- (pow (+ 1 y) 3/2) (pow y 3/2))>
#<alt (+ (sqrt t) (sqrt z))>
#<alt (sqrt (+ 1 z))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (sqrt (/ 1 z))>
#<alt (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y)))>
Outputs
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))>
#<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))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))>
#<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)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))>
#<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)) (+ (* y (- (* 3/2 (/ 1 (+ 1 (sqrt y)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (- (+ (* 3/2 (/ 1 (+ 1 (sqrt y)))) (* y (- (+ (* 3/8 (/ 1 (+ 1 (sqrt y)))) (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ (* -2 (* (sqrt y) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (* 3 (/ 1 (pow (+ 1 (sqrt y)) 2)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (- (+ (* 3/2 (/ 1 (+ 1 (sqrt y)))) (* y (- (+ (* 3/8 (/ 1 (+ 1 (sqrt y)))) (+ (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* y (- (+ (* -1 (+ (* -1 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 3)))) (* 2 (/ (- (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2))))) (+ 1 (sqrt y)))))) (* 3/2 (- (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2))))))) (+ (* 1/16 (/ 1 (+ 1 (sqrt y)))) (+ (* 3/4 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (- (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2)))))))))))) (+ (* -2 (* (sqrt y) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (* 3 (/ 1 (pow (+ 1 (sqrt y)) 2)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 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)) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 (pow y 3))))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
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#<alt (* x (- (+ 1/2 (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y))))))>
#<alt (* x (- (+ 1/2 (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y))))))>
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#<alt (* -1 (* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))>
#<alt (- 1 (sqrt 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 (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 y)))>
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))>
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))>
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))>
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))>
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (+ (* 1/2 x) (* 1/2 y)))>
#<alt (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y)))))>
#<alt (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))>
#<alt (sqrt y)>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (/ 1 y))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y)))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y))))))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
Calls

144 calls:

TimeVariablePointExpression
13.0ms
y
@-inf
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
5.0ms
y
@0
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
2.0ms
z
@-inf
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (sqrt z)))
2.0ms
y
@-inf
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z)))
1.0ms
y
@inf
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))

rewrite450.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
3504×*-lowering-*.f32
3504×*-lowering-*.f64
2830×/-lowering-/.f32
2830×/-lowering-/.f64
2808×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065351
1607300
27306299
08192299
Stop Event
iter limit
node limit
Counts
26 → 585
Calls
Call 1
Inputs
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z)))
(+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y)))))
(- (sqrt (+ x 1)) (sqrt x))
(/ 1/2 (sqrt z))
(sqrt z)
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (sqrt z)))
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))
(+ 2 (sqrt (+ 1 t)))
(sqrt (+ 1 t))
(+ (+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))
(+ 1 (* y (+ 1/2 (* y -1/8))))
(* y (+ 1/2 (* y -1/8)))
(+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t)))
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z))))
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x))
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y))
(- (sqrt (+ t 1)) (sqrt t))
(- (sqrt (+ z 1)) (sqrt z))
(- (pow (+ 1 y) 3/2) (pow y 3/2))
(+ (sqrt t) (sqrt z))
(sqrt (+ 1 z))
(- (sqrt (+ 1 x)) (sqrt x))
(sqrt (/ 1 z))
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y)))
Outputs
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (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 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) 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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))))
(+.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) 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)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 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 (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 (sqrt.f64 t) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))))
(-.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(literal 2 binary64)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) 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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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) 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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) 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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))))))
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(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
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(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))))

simplify706.0ms (2.6%)

Algorithm
egg-herbie
Rules
6288×+-lowering-+.f64
6288×+-lowering-+.f32
2138×*-lowering-*.f32
2138×*-lowering-*.f64
1814×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0151617507
1555514971
0840814971
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))
(- (+ (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))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))
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(- (+ (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)) (+ (* y (- (* 3/2 (/ 1 (+ 1 (sqrt y)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (- (+ (* 3/2 (/ 1 (+ 1 (sqrt y)))) (* y (- (+ (* 3/8 (/ 1 (+ 1 (sqrt y)))) (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ (* -2 (* (sqrt y) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (* 3 (/ 1 (pow (+ 1 (sqrt y)) 2)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (- (+ (* 3/2 (/ 1 (+ 1 (sqrt y)))) (* y (- (+ (* 3/8 (/ 1 (+ 1 (sqrt y)))) (+ (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* y (- (+ (* -1 (+ (* -1 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 3)))) (* 2 (/ (- (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2))))) (+ 1 (sqrt y)))))) (* 3/2 (- (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2))))))) (+ (* 1/16 (/ 1 (+ 1 (sqrt y)))) (+ (* 3/4 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (- (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2)))))))))))) (+ (* -2 (* (sqrt y) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (* 3 (/ 1 (pow (+ 1 (sqrt y)) 2)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 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)) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 (pow y 3))))))))) (+ (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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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))
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1
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Outputs
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(neg.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(* -1 (* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.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 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) z) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))))))
(* -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 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.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)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(* -1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) x)
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+ 1 (sqrt (+ 1 y)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))
(*.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) x)) #s(literal -1/2 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))
(*.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) x)) #s(literal -1/2 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))
(*.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) x)) #s(literal -1/2 binary64)))
(+ 2 (* 1/2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #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 x) (* y (+ 1/2 (* -1/8 y)))))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))))
(+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))
(sqrt y)
(sqrt.f64 y)
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (/ 1 y))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y)))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) y)))
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y))))
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) y))) y))))

eval250.0ms (0.9%)

Compiler

Compiled 60621 to 4606 computations (92.4% saved)

prune432.0ms (1.6%)

Pruning

40 alts after pruning (38 fresh and 2 done)

PrunedKeptTotal
New1230171247
Fresh112132
Picked415
Done011
Total1245401285
Accuracy
100.0%
Counts
1285 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
31.4%
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))
32.0%
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
48.0%
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
41.7%
(-.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 x) (sqrt.f64 y)))
13.5%
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
32.2%
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
29.1%
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
66.7%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
29.9%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
29.6%
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
84.4%
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
35.1%
(+.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)))
90.4%
(+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
39.2%
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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)))
40.6%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
32.4%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
48.1%
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
47.1%
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (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)))
25.1%
(+.f64 (+.f64 (-.f64 (+.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 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
33.5%
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)))
90.3%
(+.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
29.1%
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
9.9%
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
41.9%
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
85.4%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
63.2%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
64.2%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
11.8%
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
62.3%
(+.f64 #s(literal 2 binary64) (-.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 t (*.f64 t t)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)))
62.7%
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
44.5%
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
34.7%
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
57.4%
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
34.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
7.8%
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
11.9%
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))))
4.5%
(*.f64 x #s(literal 1/2 binary64))
7.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
9.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 3895 to 1244 computations (68.1% saved)

regimes293.0ms (1.1%)

Counts
97 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t))))
(+.f64 #s(literal 2 binary64) (-.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 t (*.f64 t t)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (+.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 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 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))))) (sqrt.f64 t))))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.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 binary64) (-.f64 (*.f64 z #s(literal 1/2 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 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (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 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (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 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) (-.f64 (sqrt.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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (-.f64 (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 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) (-.f64 (sqrt.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (fma.f64 (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)) (neg.f64 (-.f64 (sqrt.f64 z) (+.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 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.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 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)))
Calls

11 calls:

27.0ms
x
27.0ms
t
27.0ms
z
26.0ms
y
25.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Results
AccuracySegmentsBranch
96.8%2x
98.1%2y
95.8%2z
93.0%1t
98.1%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
98.1%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
98.1%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
96.8%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.1%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
95.8%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
93.0%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes138.0ms (0.5%)

Counts
86 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (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 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))))
Outputs
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))))
Calls

5 calls:

26.0ms
y
22.0ms
(+.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)))
21.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
21.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
21.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Results
AccuracySegmentsBranch
97.5%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
97.5%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
99.4%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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)))
97.5%2y
Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes68.0ms (0.3%)

Counts
85 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t))))
(+.f64 #s(literal 2 binary64) (-.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 t (*.f64 t t)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (+.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 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 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))))) (sqrt.f64 t))))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.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 binary64) (-.f64 (*.f64 z #s(literal 1/2 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 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (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 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (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 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.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

2 calls:

22.0ms
(+.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)))
21.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
99.4%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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 62 to 43 computations (30.6% saved)

regimes38.0ms (0.1%)

Counts
76 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t))))
(+.f64 #s(literal 2 binary64) (-.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 t (*.f64 t t)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (+.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 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 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))))) (sqrt.f64 t))))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.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 binary64) (-.f64 (*.f64 z #s(literal 1/2 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 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (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 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t))
Outputs
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

1 calls:

19.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
99.1%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes126.0ms (0.5%)

Counts
70 → 4
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t))))
(+.f64 #s(literal 2 binary64) (-.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 t (*.f64 t t)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (+.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 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 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))))) (sqrt.f64 t))))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.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 binary64) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (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 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

6 calls:

19.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
18.0ms
x
18.0ms
y
18.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
18.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
Results
AccuracySegmentsBranch
89.4%2x
89.4%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
96.3%3y
96.6%3(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
96.2%3(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
99.1%4(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 78 to 59 computations (24.4% saved)

regimes100.0ms (0.4%)

Counts
54 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (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)))
Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
Calls

5 calls:

26.0ms
z
20.0ms
t
14.0ms
y
12.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
11.0ms
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Results
AccuracySegmentsBranch
93.1%2(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
93.1%2t
89.6%2y
90.2%3z
85.4%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 37 to 30 computations (18.9% saved)

regimes50.0ms (0.2%)

Counts
42 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))
Outputs
(+.f64 (-.f64 (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 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
Calls

2 calls:

11.0ms
t
9.0ms
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Results
AccuracySegmentsBranch
92.1%2t
92.1%2(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes78.0ms (0.3%)

Counts
40 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
Calls

6 calls:

17.0ms
t
16.0ms
z
11.0ms
y
11.0ms
x
9.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
85.2%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
87.7%3z
73.2%3x
85.6%3y
81.7%3t
72.7%2(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Compiler

Compiled 42 to 34 computations (19% saved)

regimes17.0ms (0.1%)

Counts
29 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
Calls

1 calls:

13.0ms
z
Results
AccuracySegmentsBranch
87.4%3z
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0%)

Counts
25 → 4
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
Calls

1 calls:

10.0ms
z
Results
AccuracySegmentsBranch
87.3%4z
Compiler

Compiled 5 to 4 computations (20% saved)

regimes19.0ms (0.1%)

Counts
19 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
Calls

2 calls:

6.0ms
z
6.0ms
y
Results
AccuracySegmentsBranch
82.3%2y
85.5%3z
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0%)

Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
Calls

1 calls:

6.0ms
z
Results
AccuracySegmentsBranch
85.2%3z
Compiler

Compiled 5 to 4 computations (20% saved)

regimes37.0ms (0.1%)

Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
Outputs
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(-.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 x) (sqrt.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

25.0ms
y
5.0ms
t
5.0ms
z
Results
AccuracySegmentsBranch
70.4%2t
81.0%3y
65.3%2z
Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t))
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z))
Outputs
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
79.1%2y
Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

4 calls:

7.0ms
t
3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
44.5%1z
44.5%1t
51.7%3x
60.8%2y
Compiler

Compiled 20 to 16 computations (20% saved)

regimes15.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Calls

4 calls:

5.0ms
z
3.0ms
t
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
34.3%1z
34.3%1t
37.7%2x
34.3%1y
Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Calls

4 calls:

3.0ms
t
3.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
9.5%1t
11.2%2z
11.3%2y
11.4%2x
Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
Outputs
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
Calls

4 calls:

2.0ms
z
2.0ms
t
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
7.8%1t
7.8%1z
7.8%1y
7.8%1x
Compiler

Compiled 20 to 16 computations (20% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
Outputs
(*.f64 x #s(literal 1/2 binary64))
Calls

4 calls:

1.0ms
t
1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
4.5%1x
4.5%1y
4.5%1z
4.5%1t
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch56.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
50.0ms
12929888.656882156
15176894856.932072
Results
41.0ms118×1valid
2.0ms10×0valid
Compiler

Compiled 682 to 462 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sqrt: 14.0ms (42.5% of total)
ival-add: 8.0ms (24.3% of total)
backward-pass: 6.0ms (18.2% of total)
ival-sub: 5.0ms (15.2% of total)
const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0012067371722537
2.1707143876754658
0.0ms
1.0000040586164687
1.0001390505153722
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0012067371722537
2.1707143876754658
0.0ms
1.0000040586164687
1.0001390505153722
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.886117760953538
2.9996797032704547
0.0ms
1.0000040586164687
1.0001390505153722
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.886117760953538
2.9996797032704547
0.0ms
1.0000040586164687
1.0001390505153722
0.0ms
5.21540641784668e-8
0.0006287064624075356
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch60.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
55.0ms
176764024811.96027
14327483569618186000.0
Results
42.0ms91×1valid
8.0ms53×0valid
Compiler

Compiled 501 to 372 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-sqrt: 13.0ms (32.4% of total)
ival-add: 12.0ms (29.9% of total)
ival-sub: 12.0ms (29.9% of total)
backward-pass: 3.0ms (7.5% of total)
const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.189298927783966e-6
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch88.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
31820229.48087802
65938954.918997794
46.0ms
2.2211419979994643e-156
1.0406179202063599e-154
Results
63.0ms169×1valid
6.0ms23×0valid
Compiler

Compiled 672 to 501 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-sqrt: 23.0ms (48.5% of total)
ival-add: 12.0ms (25.3% of total)
ival-sub: 7.0ms (14.8% of total)
backward-pass: 6.0ms (12.7% of total)
const: 0.0ms (0% of total)

bsearch100.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
49.0ms
8.08555679613997
4833.331236329021
41.0ms
2.2211419979994643e-156
1.0406179202063599e-154
Results
77.0ms210×1valid
4.0ms30×0valid
Compiler

Compiled 765 to 594 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-sqrt: 28.0ms (44.1% of total)
ival-add: 17.0ms (26.8% of total)
backward-pass: 9.0ms (14.2% of total)
ival-sub: 8.0ms (12.6% of total)
const: 1.0ms (1.6% of total)

bsearch183.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
48.0ms
1.7909285698210753e+25
1.3999545355552726e+29
51.0ms
8.08555679613997
4833.331236329021
66.0ms
2.2211419979994643e-156
1.0406179202063599e-154
Results
148.0ms346×1valid
3.0ms22×0valid
Compiler

Compiled 1125 to 858 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-sqrt: 40.0ms (32.4% of total)
backward-pass: 40.0ms (32.4% of total)
ival-add: 25.0ms (20.3% of total)
ival-sub: 18.0ms (14.6% of total)
const: 1.0ms (0.8% of total)

bsearch97.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
22209876757055.043
33955667465643.816
41.0ms
2.2211419979994643e-156
1.0406179202063599e-154
Results
76.0ms158×1valid
3.0ms18×0valid
Compiler

Compiled 533 to 418 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-add: 32.0ms (48.6% of total)
ival-sqrt: 19.0ms (28.9% of total)
ival-sub: 9.0ms (13.7% of total)
backward-pass: 5.0ms (7.6% of total)
const: 0.0ms (0% of total)

bsearch64.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
7123267485922.137
8347294970175.575
40.0ms
2.2211419979994643e-156
1.0406179202063599e-154
Results
49.0ms144×1valid
2.0ms16×0valid
Compiler

Compiled 479 to 374 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sqrt: 17.0ms (43% of total)
ival-add: 11.0ms (27.8% of total)
ival-sub: 6.0ms (15.2% of total)
backward-pass: 6.0ms (15.2% of total)
const: 0.0ms (0% of total)

bsearch106.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
0.003057794697947933
2.447373793102877
50.0ms
2.961145429815788e-32
2.9694027091547197e-28
Results
81.0ms231×1valid
5.0ms25×0valid
Compiler

Compiled 706 to 550 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-sqrt: 27.0ms (40.4% of total)
ival-add: 23.0ms (34.4% of total)
ival-sub: 9.0ms (13.5% of total)
backward-pass: 7.0ms (10.5% of total)
const: 1.0ms (1.5% of total)

bsearch58.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
53.0ms
0.003057794697947933
2.447373793102877
Results
46.0ms112×1valid
2.0ms16×0valid
Compiler

Compiled 306 to 246 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sqrt: 21.0ms (57.3% of total)
ival-add: 8.0ms (21.8% of total)
ival-sub: 4.0ms (10.9% of total)
backward-pass: 3.0ms (8.2% of total)
const: 0.0ms (0% of total)

bsearch51.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
0.003057794697947933
2.447373793102877
Results
39.0ms112×1valid
2.0ms16×0valid
Compiler

Compiled 306 to 246 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sqrt: 13.0ms (40.7% of total)
ival-add: 9.0ms (28.1% of total)
ival-sub: 5.0ms (15.6% of total)
backward-pass: 5.0ms (15.6% of total)
const: 0.0ms (0% of total)

bsearch270.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
265.0ms
0.08319538500221797
7.082368738850174
Results
259.0ms96×1valid
2.0ms16×0valid
Compiler

Compiled 224 to 184 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 253.0ms
ival-add: 234.0ms (92.4% of total)
ival-sqrt: 12.0ms (4.7% of total)
ival-sub: 4.0ms (1.6% of total)
backward-pass: 3.0ms (1.2% of total)
const: 0.0ms (0% of total)

bsearch265.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
260.0ms
1.9493966762316865e-66
8.092878266324919e-63
Results
254.0ms118×1valid
1.0ms10×0valid
Compiler

Compiled 202 to 174 computations (13.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-add: 223.0ms (90.8% of total)
ival-sqrt: 14.0ms (5.7% of total)
ival-sub: 5.0ms (2% of total)
backward-pass: 4.0ms (1.6% of total)
const: 0.0ms (0% of total)

simplify33.0ms (0.1%)

Algorithm
egg-herbie
Rules
188×+-commutative_binary64
72×sub-neg_binary64
48×*-commutative_binary64
24×neg-sub0_binary64
24×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02031279
13171279
23711279
34051279
44201279
54211279
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 75000000 binary64)) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))))
(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 4504049987333233/4503599627370496 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) (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 4728779608739021/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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) (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 4504049987333233/4503599627370496 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) (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 4728779608739021/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.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 4504049987333233/4503599627370496 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) (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 6530219459687219/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 944473296573929/9444732965739290427392 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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 4504049987333233/4503599627370496 binary64)) (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 6530219459687219/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))))
(if (<=.f64 t #s(literal 180000000000 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 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 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 0 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(if (<=.f64 z #s(literal 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 58000000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(if (<=.f64 z #s(literal 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 4800 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(if (<=.f64 z #s(literal 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 4800 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (if (<=.f64 z #s(literal 41999999999999998221615104 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(if (<=.f64 z #s(literal 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 25500000000000 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(if (<=.f64 z #s(literal 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 8200000000000 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(if (<=.f64 y #s(literal 6467216107573881/22300745198530623141535718272648361505980416 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (if (<=.f64 y #s(literal 4728779608739021/2251799813685248 binary64)) (-.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 x) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal 6877123763982683/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 x #s(literal 1/2 binary64))
Outputs
(if (<=.f64 y #s(literal 75000000 binary64)) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))))
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(if (<=.f64 x #s(literal 6877123763982683/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 x #s(literal 1/2 binary64))

soundness3.9s (14.6%)

Rules
7296×+-lowering-+.f64
7296×+-lowering-+.f32
6826×+-lowering-+.f64
6826×+-lowering-+.f32
6288×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036165
1339162
23818162
08336162
06516678
121755975
274125972
080085972
0151617507
1555514971
0840814971
0130914475
1482113328
0866613328
0155615757
1571314969
0818614969
057420
1587356
08219356
058348
1544309
26690309
08681309
02430
15529
222029
3163029
4549329
0839929
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 4744 to 2657 computations (44% saved)

preprocess150.0ms (0.6%)

Compiler

Compiled 3020 to 582 computations (80.7% saved)

end0.0ms (0%)

Profiling

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