Main:z from

Time bar (total: 21.0s)

start0.0ms (0%)

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

analyze205.0ms (1%)

Memory
19.1MiB live, 315.6MiB allocated; 94ms collecting garbage
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 33 to 26 computations (21.2% saved)

sample10.1s (47.9%)

Memory
146.7MiB live, 11 319.2MiB allocated; 2.2s collecting garbage
Samples
4.5s7 654×1valid
3.4s15 842×0invalid
95.0ms602×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.6s
ival-sqrt: 2.6s (39.6% of total)
ival-add: 1.7s (25.3% of total)
adjust: 1.3s (20% of total)
ival-sub: 948.0ms (14.3% of total)
ival-true: 20.0ms (0.3% of total)
exact: 16.0ms (0.2% of total)
ival-assert: 10.0ms (0.2% of total)
Bogosity

explain574.0ms (2.7%)

Memory
41.8MiB live, 701.4MiB allocated; 104ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1420-0-(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
1350-0-(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
1280-0-(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
1280-0-(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
00-0-(sqrt.f64 x)
00-0-(+.f64 y #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-t
00-0-(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
00-0-(sqrt.f64 z)
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
00-0-(sqrt.f64 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-y
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
00-0-z
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-(+.f64 z #s(literal 1 binary64))
00-0-(sqrt.f64 t)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))cancellation390
-.f64(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))cancellation360
-.f64(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))cancellation350
-.f64(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))cancellation251
Confusion
Predicted +Predicted -
+500
-55151
Precision
0.47619047619047616
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5000
-551150
Precision?
0.4716981132075472
Recall?
1.0
Freqs
test
numberfreq
0151
180
221
33
41
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
280.0ms484×1valid
4.0ms28×0valid
Compiler

Compiled 311 to 76 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 235.0ms
ival-sqrt: 106.0ms (45.1% of total)
adjust: 77.0ms (32.7% of total)
ival-add: 35.0ms (14.9% of total)
ival-sub: 17.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess232.0ms (1.1%)

Memory
11.0MiB live, 205.8MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073454
1224454
2793454
33138454
43321454
53330454
63330454
02431
04331
16431
213831
346531
4144731
5451931
6451931
7538231
8538231
0846631
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
Symmetry

(sort x y z t)

Compiler

Compiled 31 to 24 computations (22.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify156.0ms (0.7%)

Memory
-11.1MiB live, 92.6MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024138
043138
164138
2138138
3465138
41447138
54519138
64519138
75382138
85382138
08466138
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)

localize185.0ms (0.9%)

Memory
-5.2MiB live, 234.2MiB allocated; 26ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy4.006684128787904
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy21.11404973834875
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy41.63737844335704
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.799801374185904
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
160.0ms242×1valid
2.0ms14×0valid
Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-sqrt: 53.0ms (42.2% of total)
ival-sub: 29.0ms (23.1% of total)
adjust: 28.0ms (22.3% of total)
ival-add: 15.0ms (11.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series110.0ms (0.5%)

Memory
5.6MiB live, 50.0MiB allocated; 5ms collecting garbage
Counts
7 → 147
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Outputs
(- (+ 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)))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(- (+ (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 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))
(- (sqrt (+ 1 y)) (sqrt y))
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))
(* 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)
(- (+ (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))))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (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))) (sqrt y))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(- (+ 1 (+ (sqrt (+ 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)))))
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))
(- 1 (sqrt y))
(- (+ 1 (* 1/2 y)) (sqrt y))
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))
(- (+ (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 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))
(- (sqrt (+ 1 x)) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))
(* 1/2 (sqrt (/ 1 y)))
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(- (+ (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))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))
(* -1/2 (sqrt (/ 1 y)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- 1 (sqrt z))
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(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
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(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))
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(* 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)
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
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(- (+ (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))))
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(* -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 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(- 1 (sqrt t))
(- (+ 1 (* 1/2 t)) (sqrt t))
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(* 1/2 (sqrt (/ 1 t)))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(* -1/2 (sqrt (/ 1 t)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))
Calls

12 calls:

TimeVariablePointExpression
90.0ms
x
@-inf
((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)))
2.0ms
z
@inf
((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)))
2.0ms
t
@inf
((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)))
2.0ms
y
@-inf
((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)))
2.0ms
z
@-inf
((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)))

simplify217.0ms (1%)

Memory
-1.2MiB live, 145.9MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05524008
117833738
269943738
086933544
Stop Event
iter limit
node limit
Counts
147 → 147
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)))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))
(- 1 (sqrt x))
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(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
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(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))
(- (sqrt (+ 1 y)) (sqrt y))
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(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
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(/ (+ (* -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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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
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(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))
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(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))
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(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))) (sqrt y))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(- (+ 1 (+ (sqrt (+ 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)))))
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
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(- 1 (sqrt y))
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(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (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 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (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 (fma.f64 (/.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))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) (neg.f64 z))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(-.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(-.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
(-.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))
(- (+ 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)))))
(-.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) t) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))
(- 1 (sqrt t))
(-.f64 #s(literal 1 binary64) (sqrt.f64 t))
(- (+ 1 (* 1/2 t)) (sqrt t))
(fma.f64 #s(literal 1/2 binary64) t (-.f64 #s(literal 1 binary64) (sqrt.f64 t)))
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (-.f64 #s(literal 1 binary64) (sqrt.f64 t)))
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) t) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 #s(literal 1 binary64) (sqrt.f64 t)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (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))))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (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))))
(-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(* 1/2 (sqrt (/ 1 t)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) t)
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (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))))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (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))))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(* -1/2 (sqrt (/ 1 t)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) (neg.f64 t))

rewrite406.0ms (1.9%)

Memory
-17.6MiB live, 204.0MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02497
04397
120197
2200697
0931497
Stop Event
iter limit
node limit
iter limit
Counts
7 → 247
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Outputs
(/.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(literal 3 binary64)) (fma.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) 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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (+.f64 y #s(literal 1 binary64)) y) (sqrt.f64 (*.f64 y (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y)) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (+.f64 y #s(literal 1 binary64)) y) (sqrt.f64 (*.f64 y (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 y #s(literal 1 binary64)) y) (sqrt.f64 (*.f64 y (+.f64 y #s(literal 1 binary64))))))
(-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 y (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 y #s(literal 1 binary64)) y) (sqrt.f64 (*.f64 y (+.f64 y #s(literal 1 binary64)))))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 y #s(literal 1 binary64)) y) (sqrt.f64 (*.f64 y (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(+.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))

eval140.0ms (0.7%)

Memory
-29.7MiB live, 107.6MiB allocated; 73ms collecting garbage
Compiler

Compiled 29 605 to 1 935 computations (93.5% saved)

prune33.0ms (0.2%)

Memory
27.0MiB live, 76.2MiB allocated; 8ms collecting garbage
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New37222394
Fresh000
Picked101
Done000
Total37322395
Accuracy
98.9%
Counts
395 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.5%
(+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (fma.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))))) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (fma.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.7%
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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)))
91.7%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.7%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.3%
(+.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 (/.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (/.f64 z (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.3%
(+.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 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
86.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
64.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
63.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
6.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
89.9%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
34.3%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.2%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
69.2%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
39.9%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
42.7%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
32.7%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
44.1%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
34.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
33.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
44.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
13.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
Compiler

Compiled 2 138 to 1 470 computations (31.2% saved)

simplify185.0ms (0.9%)

Memory
-26.4MiB live, 209.7MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
cost-diff4
(-.f64 (+.f64 t #s(literal 1 binary64)) t)
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
cost-diff0
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
cost-diff0
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
cost-diff0
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
cost-diff0
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff0
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff0
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
cost-diff0
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
cost-diff0
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
cost-diff0
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))
cost-diff0
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff0
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff4
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077831
0129823
1223823
2515799
31804799
45393799
55422799
65453799
75488799
85555799
95722799
106118799
116500799
127657799
08533799
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
(+.f64 y #s(literal 1 binary64))
y
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 y)
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 z)
(sqrt.f64 y)
(sqrt.f64 x)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 y)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))
(-.f64 (+.f64 t #s(literal 1 binary64)) t)
(+.f64 t #s(literal 1 binary64))
t
(+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))
(sqrt.f64 t)
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(sqrt.f64 x)
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
#s(literal 1 binary64)
(+.f64 y #s(literal 1 binary64))
y
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))
z
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 z)
(sqrt.f64 y)
(sqrt.f64 x)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
y
(+.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 y)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))
(-.f64 (+.f64 t #s(literal 1 binary64)) t)
#s(literal 1 binary64)
(+.f64 t #s(literal 1 binary64))
t
(+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))
(sqrt.f64 t)
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))

localize462.0ms (2.2%)

Memory
36.0MiB live, 702.0MiB allocated; 110ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.006684128787904
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy21.11404973834875
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy41.63737844335704
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy58.12758477788599
(-.f64 (+.f64 t #s(literal 1 binary64)) t)
accuracy0.1328125
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy18.030853222441287
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
accuracy18.595345326132612
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
accuracy57.799801374185904
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy4.866078683514157
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy21.11404973834875
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy41.63737844335704
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.799801374185904
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy0.0234375
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
accuracy0.04296875
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy3.217312749203569
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
accuracy39.0863653747468
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
accuracy4.006684128787904
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy20.355006234760214
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
accuracy41.63737844335704
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.799801374185904
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
372.0ms242×1valid
5.0ms14×0valid
Compiler

Compiled 747 to 55 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 271.0ms
adjust: 146.0ms (53.8% of total)
ival-add: 54.0ms (19.9% of total)
ival-sqrt: 39.0ms (14.4% of total)
ival-sub: 18.0ms (6.6% of total)
ival-div: 11.0ms (4.1% of total)
ival-mult: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.3%)

Memory
1.9MiB live, 47.8MiB allocated; 4ms collecting garbage
Counts
26 → 381
Calls
Call 1
Inputs
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(-.f64 (+.f64 t #s(literal 1 binary64)) t)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
Outputs
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt x) (sqrt z)))
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
(- (+ 1 (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (sqrt x))
(- (+ 1 (+ (* 1/2 x) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt x))
(- (+ 1 (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt x))
(- (+ 1 (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt x))
(- (+ 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)))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))
(+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))
(+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))
(+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(+ 1 (sqrt (+ 1 y)))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))
(+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt y)))
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))
(+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))
(+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* -1/8 x))))))
(+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))) (+ (sqrt t) (sqrt z)))
(- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (sqrt z))
(- (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z))
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (sqrt z))
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (sqrt z))
(/ 1 (+ (sqrt y) (sqrt (+ 1 y))))
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (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 y) (sqrt (+ 1 y)))))))
(- (+ (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 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z))))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z))))))))
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt (+ 1 y)))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (/ 1 x) (sqrt (+ 1 y))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (/ 1 x) (sqrt (+ 1 y)))))))
(- (sqrt (+ 1 y)) (sqrt y))
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))
(* 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)
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (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))) (* 1/2 (sqrt (/ 1 z))))))) (sqrt y))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* (/ 1 x) (sqrt (+ 1 y))))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* (/ 1 x) (sqrt (+ 1 y)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* (/ 1 x) (sqrt (+ 1 y))))))))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))
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Calls

12 calls:

TimeVariablePointExpression
24.0ms
x
@0
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4.0ms
y
@inf
((- (+ y 1) y) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (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 (+ 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 (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (- (+ t 1) t) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (/ 1 z)))
3.0ms
t
@0
((- (+ y 1) y) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (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 (+ 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 (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (- (+ t 1) t) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (/ 1 z)))
3.0ms
y
@0
((- (+ y 1) y) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (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 (+ 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 (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (- (+ t 1) t) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (/ 1 z)))
3.0ms
y
@-inf
((- (+ y 1) y) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (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 (+ 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 (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (- (+ t 1) t) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (/ 1 z)))

simplify303.0ms (1.4%)

Memory
-4.2MiB live, 134.9MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129011401
1445710680
0844610190
Stop Event
iter limit
node limit
Counts
381 → 381
Calls
Call 1
Inputs
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
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(- (+ 1 (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt x) (sqrt z)))
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(sqrt x)
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(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (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))))
(-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (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))))
(-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow t 3))))))))
(-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/8 binary64) (sqrt.f64 z)) (sqrt.f64 y)) (sqrt.f64 x)))
(* 1/2 (sqrt (/ 1 t)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) t)
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (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))))
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (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))))
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))) (* 1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2))))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(* -1/2 (sqrt (/ 1 t)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) (neg.f64 t))

rewrite251.0ms (1.2%)

Memory
18.5MiB live, 151.3MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077540
0129552
1622511
26577511
08240511
Stop Event
iter limit
node limit
iter limit
Counts
26 → 562
Calls
Call 1
Inputs
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(-.f64 (+.f64 t #s(literal 1 binary64)) t)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 (-.f64 y z) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(/.f64 (neg.f64 (-.f64 z y)) (neg.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 y))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y)))))
(/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(/.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 y #s(literal 3/2 binary64))) (+.f64 y (-.f64 z (sqrt.f64 (*.f64 z y)))))
(/.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 y #s(literal 3/2 binary64))) (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y))))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 z) (sqrt.f64 y))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y)))))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (fma.f64 (sqrt.f64 y) y (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 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (/.f64 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))))) (+.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)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (fma.f64 (/.f64 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))) (*.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)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y))) (neg.f64 (neg.f64 (+.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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) y)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 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 2 binary64)) (*.f64 y y)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) 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 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (+.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 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 (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 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(fma.f64 (/.f64 y (-.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(fma.f64 (/.f64 y (fma.f64 (sqrt.f64 y) y (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 (-.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))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+.f64 (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))))

eval199.0ms (0.9%)

Memory
2.5MiB live, 194.5MiB allocated; 19ms collecting garbage
Compiler

Compiled 68 217 to 4 440 computations (93.5% saved)

prune129.0ms (0.6%)

Memory
-27.4MiB live, 123.8MiB allocated; 19ms collecting garbage
Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New96729996
Fresh12517
Picked505
Done000
Total984341 018
Accuracy
100.0%
Counts
1 018 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.7%
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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)))
92.3%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.7%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
28.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
63.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
6.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
90.4%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
85.3%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
28.7%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
63.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
7.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
12.2%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
15.5%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/.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)))
11.2%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
63.8%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
66.9%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
42.6%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
35.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
34.0%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
36.5%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
63.5%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
7.8%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
42.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
67.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
33.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
33.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
33.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
33.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
28.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
2.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
85.6%
#s(approx (+ (+ (+ (- (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
42.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
44.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
62.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
Compiler

Compiled 3 922 to 2 758 computations (29.7% saved)

simplify171.0ms (0.8%)

Memory
-6.5MiB live, 140.5MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff0
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))
cost-diff0
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff4
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
cost-diff0
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
cost-diff0
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
cost-diff0
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
cost-diff0
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
cost-diff0
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))
cost-diff0
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))
cost-diff0
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
(sqrt.f64 z)
cost-diff0
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z))
cost-diff0
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
cost-diff0
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))
cost-diff0
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff4
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
cost-diff4
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0921002
0141990
1243984
2524944
31666944
46089944
56112944
66191944
76253944
86328944
96556944
107658944
08170944
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
(+.f64 y #s(literal 1 binary64))
y
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 y)
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
(+.f64 z #s(literal 1 binary64))
z
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(sqrt.f64 z)
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z))
(sqrt.f64 z)
z
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 x)
x
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
#s(literal 1 binary64)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 y)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
(+.f64 z #s(literal 1 binary64))
z
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(sqrt.f64 z)
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(sqrt.f64 x)
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
#s(literal 1 binary64)
(+.f64 y #s(literal 1 binary64))
y
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
#s(literal 1 binary64)
(+.f64 z #s(literal 1 binary64))
z
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 z)
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 y)))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (-.f64 (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 y))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z))
(sqrt.f64 z)
z
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 x)
x
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
y
(+.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 y)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
#s(literal 1 binary64)
(+.f64 z #s(literal 1 binary64))
z
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 z)
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)

localize542.0ms (2.6%)

Memory
27.3MiB live, 634.6MiB allocated; 139ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.866078683514157
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy21.11404973834875
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy40.93656946338652
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
accuracy57.799801374185904
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy4.862172435031455
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
accuracy18.030853222441287
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
accuracy20.16007821056261
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
accuracy57.799801374185904
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy4.006684128787904
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
accuracy18.030853222441287
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))
accuracy22.09434444131771
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))
accuracy57.799801374185904
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy0.04296875
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy3.217312749203569
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
accuracy21.541840247093237
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z))
accuracy39.0863653747468
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
accuracy4.006684128787904
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy20.355006234760214
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
accuracy40.93656946338652
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
accuracy57.799801374185904
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
440.0ms242×1valid
5.0ms14×0valid
Compiler

Compiled 765 to 63 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 385.0ms
adjust: 164.0ms (42.6% of total)
ival-add: 92.0ms (23.9% of total)
ival-sub: 71.0ms (18.4% of total)
ival-sqrt: 41.0ms (10.7% of total)
ival-div: 9.0ms (2.3% of total)
ival-mult: 6.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series57.0ms (0.3%)

Memory
6.2MiB live, 52.2MiB allocated; 6ms collecting garbage
Counts
25 → 382
Calls
Call 1
Inputs
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
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#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z))
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#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))
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#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
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Calls

12 calls:

TimeVariablePointExpression
22.0ms
y
@0
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3.0ms
z
@-inf
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3.0ms
z
@0
((- (+ y 1) y) (- (+ z 1) z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt z) (+ (+ (+ (- (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 (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (+ (+ (+ (- (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 (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))
3.0ms
z
@inf
((- (+ y 1) y) (- (+ z 1) z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt z) (+ (+ (+ (- (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 (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (+ (+ (+ (- (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 (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))
3.0ms
x
@0
((- (+ y 1) y) (- (+ z 1) z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt z) (+ (+ (+ (- (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 (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (+ (+ (+ (- (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 (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt z) (sqrt y)) (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))

simplify249.0ms (1.2%)

Memory
-0.1MiB live, 286.5MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123711903
1420011230
2791111152
0802810663
Stop Event
iter limit
node limit
Counts
382 → 382
Calls
Call 1
Inputs
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(sqrt x)
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(* (sqrt x) (pow (sqrt -1) 2))
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(- (+ (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)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(* -1/2 (sqrt (/ 1 t)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) (neg.f64 t))

rewrite236.0ms (1.1%)

Memory
16.1MiB live, 250.2MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092715
0141715
1694658
27279658
08243658
Stop Event
iter limit
node limit
iter limit
Counts
25 → 376
Calls
Call 1
Inputs
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z))
(sqrt.f64 z)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
Outputs
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 y y)) (+.f64 (+.f64 #s(literal 1 binary64) y) y))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (fabs.f64 (sqrt.f64 y)) (fabs.f64 (sqrt.f64 y)) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (-.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (-.f64 #s(literal 1 binary64) y))
(fma.f64 y #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (*.f64 y y) (+.f64 (+.f64 #s(literal 1 binary64) y) y)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (fma.f64 y (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
(+.f64 (-.f64 #s(literal 1 binary64) y) y)
(+.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 #s(literal 1 binary64) (-.f64 y y))
(+.f64 y (-.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (+.f64 (+.f64 z #s(literal 1 binary64)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 (+.f64 z #s(literal 1 binary64)) z) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z)) (+.f64 (+.f64 z #s(literal 1 binary64)) z))
(/.f64 (-.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 (+.f64 z #s(literal 1 binary64)) z) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (fabs.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(fma.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (sqrt.f64 z)) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (-.f64 #s(literal 1 binary64) z))
(fma.f64 z #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) z (-.f64 #s(literal 1 binary64) z))
(-.f64 (/.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 z #s(literal 1 binary64)) z)) (/.f64 (*.f64 z z) (+.f64 (+.f64 z #s(literal 1 binary64)) z)))
(-.f64 (/.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 z (+.f64 (+.f64 z #s(literal 1 binary64)) z) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 (+.f64 z #s(literal 1 binary64)) z) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(-.f64 (+.f64 z #s(literal 1 binary64)) z)
(+.f64 (-.f64 #s(literal 1 binary64) z) z)
(+.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 z (-.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) (-.f64 z z))
(/.f64 (-.f64 (*.f64 (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) t) (+.f64 (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t)))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)) (sqrt.f64 y))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 x))
(-.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (*.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (fma.f64 (sqrt.f64 y) y (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 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (/.f64 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))))) (+.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)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (fma.f64 (/.f64 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))) (*.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)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y))) (neg.f64 (neg.f64 (+.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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) y)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 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 2 binary64)) (*.f64 y y)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) 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 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (+.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 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 (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 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(fma.f64 (/.f64 y (-.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(fma.f64 (/.f64 y (fma.f64 (sqrt.f64 y) y (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 (-.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))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+.f64 (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))

eval224.0ms (1.1%)

Memory
-24.9MiB live, 265.2MiB allocated; 109ms collecting garbage
Compiler

Compiled 65 661 to 3 926 computations (94% saved)

prune64.0ms (0.3%)

Memory
-15.4MiB live, 176.4MiB allocated; 9ms collecting garbage
Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New83219851
Fresh131629
Picked415
Done000
Total84936885
Accuracy
100.0%
Counts
885 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.7%
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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)))
28.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
63.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
6.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
85.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
85.3%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
28.7%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
7.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
12.2%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
66.9%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
64.8%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.2%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
36.7%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
35.0%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
7.8%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
35.9%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
35.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.2%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
32.8%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
37.5%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
35.0%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
2.9%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
88.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
65.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
67.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
33.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
33.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
33.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
33.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
28.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
3.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
2.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
85.6%
#s(approx (+ (+ (+ (- (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
42.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
44.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
62.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
Compiler

Compiled 4 582 to 3 062 computations (33.2% saved)

simplify298.0ms (1.4%)

Memory
32.0MiB live, 206.7MiB allocated; 114ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
cost-diff0
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x))
cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
cost-diff0
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y))
cost-diff0
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z))
cost-diff0
(-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x))
cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
cost-diff0
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
cost-diff0
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
cost-diff0
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
cost-diff0
#s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))
cost-diff0
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))
cost-diff0
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))))
cost-diff0
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
(+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff0
(+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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)))
cost-diff0
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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)))
cost-diff4
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105985
0160981
1293965
2649957
32079957
44509957
54550957
64585957
74642957
84717957
94865957
105744957
115956957
126517957
137421957
08275950
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
#s(literal 1 binary64)
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
#s(literal 1/2 binary64)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 z)
(sqrt.f64 y)
(sqrt.f64 x)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
(-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x))
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 y)
(sqrt.f64 z)
(sqrt.f64 x)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (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)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(sqrt.f64 x)
Outputs
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))))
(+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
#s(literal 1 binary64)
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
#s(literal 1/2 binary64)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
y
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 z)
(sqrt.f64 y)
(sqrt.f64 x)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))
(-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y))
(+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
y
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 y)
(sqrt.f64 z)
(sqrt.f64 x)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(sqrt.f64 x)

localize649.0ms (3.1%)

Memory
24.8MiB live, 499.7MiB allocated; 95ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
accuracy0.2109375
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
accuracy3.217312749203569
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
accuracy4.018402882939607
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x))
accuracy0.02734375
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y))
accuracy3.217312749203569
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
accuracy4.018402882939607
(-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x))
accuracy39.08559167519775
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z))
accuracy0.04296875
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy3.217312749203569
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
accuracy39.0863653747468
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
accuracy42.171329525073766
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
accuracy4.862172435031455
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))
accuracy18.030853222441287
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))))
accuracy57.799801374185904
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy59.029936117957504
#s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))
accuracy3.6366361579928914
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy21.11404973834875
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy41.63737844335704
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.799801374185904
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
565.0ms242×1valid
6.0ms14×0valid
Compiler

Compiled 746 to 79 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 337.0ms
adjust: 166.0ms (49.3% of total)
ival-add: 67.0ms (19.9% of total)
ival-sqrt: 46.0ms (13.7% of total)
ival-sub: 27.0ms (8% of total)
ival-div: 17.0ms (5% of total)
ival-mult: 12.0ms (3.6% of total)
ival-neg: 2.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series77.0ms (0.4%)

Memory
-10.7MiB live, 121.7MiB allocated; 41ms collecting garbage
Counts
26 → 517
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
(-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x))
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
Outputs
1
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
(- (+ (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))))
(- (+ (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))))
(- (+ (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))))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z)))
(- (+ (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)))
(- (+ (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)))
(- (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt x)))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))) (sqrt y))
(- (+ 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)))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt y)))
(+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))
(+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))
(+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))
(+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(+ 2 (+ (sqrt (+ 1 y)) (* 1/2 z)))
(+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 z))))
(+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (* x (+ 1/2 (* -1/8 x))))))
(+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt y) (sqrt z)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt y) (sqrt z)))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt y) (sqrt z)))
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (sqrt y))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (sqrt y))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (sqrt y))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (sqrt y))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* x (+ 1/2 (* -1/8 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(- (+ 1 (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))
(- (+ 1 (+ (* 1/2 x) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))
(- (+ 1 (+ (* x (+ 1/2 (* -1/8 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))
(- (+ 1 (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))
(+ 1 (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))
(+ 1 (+ (* 1/2 x) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))
(+ 1 (+ (* x (+ 1/2 (* -1/8 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))
(+ 1 (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))
(+ 1 (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))
(+ 1 (+ (* 1/2 x) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))
(+ 1 (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))
(+ 1 (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))
(- (+ (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)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow x 3))))))))
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow x 3)))))))
(- (sqrt (+ 1 y)) (sqrt y))
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow x 3))))))
(- (+ (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 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z))))) (sqrt y))
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (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))) (* 1/2 (sqrt (/ 1 z))))))) (sqrt y))
(* -1 (sqrt x))
(* x (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z))))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ z x)) (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (/ z x)) (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (/ z x)) (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z))))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z)))))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z))))))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z))))) (* (/ 1 x) (sqrt y))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z)))))) (* (/ 1 x) (sqrt y))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* (/ 1 x) (sqrt (+ 1 z))))))) (* (/ 1 x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt t))
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Calls

12 calls:

TimeVariablePointExpression
20.0ms
y
@inf
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15.0ms
t
@-inf
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7.0ms
x
@inf
((- (+ 1 x) x) (+ (+ (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (sqrt x)) (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (+ (sqrt z) (sqrt y)) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))))
4.0ms
z
@-inf
((- (+ 1 x) x) (+ (+ (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (sqrt x)) (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (+ (sqrt z) (sqrt y)) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))))
4.0ms
x
@0
((- (+ 1 x) x) (+ (+ (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (sqrt x)) (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y)) (+ (sqrt z) (sqrt y)) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))))

simplify246.0ms (1.2%)

Memory
20.0MiB live, 252.9MiB allocated; 43ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157416413
1541115855
0884415164
Stop Event
iter limit
node limit
Counts
517 → 517
Calls
Call 1
Inputs
1
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1
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(-.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) (neg.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 t))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))
(-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) t) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) (neg.f64 t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))
(* -1/2 (sqrt (/ 1 t)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) #s(literal -5/128 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))) (neg.f64 t))

rewrite241.0ms (1.1%)

Memory
-1.9MiB live, 234.7MiB allocated; 80ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105755
0160755
1876707
08842707
Stop Event
iter limit
node limit
iter limit
Counts
26 → 362
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (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 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
(-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x))
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
Outputs
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) t) (+.f64 (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t)))
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (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)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(literal 2 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (fma.f64 (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 t (*.f64 (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (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)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(literal 2 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))))))
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eval182.0ms (0.9%)

Memory
-9.9MiB live, 233.2MiB allocated; 38ms collecting garbage
Compiler

Compiled 73 790 to 4 578 computations (93.8% saved)

prune99.0ms (0.5%)

Memory
39.0MiB live, 175.5MiB allocated; 9ms collecting garbage
Pruning

39 alts after pruning (38 fresh and 1 done)

PrunedKeptTotal
New87620896
Fresh121830
Picked415
Done101
Total89339932
Accuracy
100.0%
Counts
932 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.0%
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
28.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
63.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
6.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
85.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
85.3%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
28.7%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
40.2%
(+.f64 (+.f64 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
45.0%
(+.f64 (+.f64 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
64.8%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
35.0%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
7.8%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.2%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
37.5%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
35.0%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
5.1%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
2.1%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
4.6%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
87.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
87.3%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
87.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) #s(literal 1 binary64))) (sqrt.f64 x)))
66.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
12.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
15.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
65.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
67.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
32.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 y)) (sqrt.f64 x)))
33.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
33.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))) (sqrt.f64 z)) (sqrt.f64 x)))
58.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 z))) (sqrt.f64 x)))
33.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
33.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
42.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))) (sqrt.f64 x)))
65.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
28.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
28.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
4.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
44.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
62.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
Compiler

Compiled 8 518 to 2 338 computations (72.6% saved)

regimes297.0ms (1.4%)

Memory
-43.1MiB live, 393.8MiB allocated; 60ms collecting garbage
Counts
91 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
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(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.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) x) x) (+.f64 (sqrt.f64 x) (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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (/.f64 z (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (fma.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))))) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (fma.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

11 calls:

47.0ms
(+.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)))
45.0ms
x
33.0ms
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
24.0ms
t
23.0ms
y
Results
AccuracySegmentsBranch
92.3%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
92.3%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
99.1%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
98.5%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.1%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)))
99.1%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)))
99.1%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)))
98.5%2x
99.1%2y
94.2%2z
92.3%1t
Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes158.0ms (0.8%)

Memory
19.2MiB live, 211.0MiB allocated; 25ms collecting garbage
Counts
79 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))) (sqrt.f64 z)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 z))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/.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 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) #s(literal 1 binary64))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
Calls

7 calls:

38.0ms
(+.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)))
25.0ms
y
21.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
19.0ms
x
18.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.4%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.4%2x
99.5%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
97.3%2y
97.3%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
99.2%3(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
99.5%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes88.0ms (0.4%)

Memory
-16.4MiB live, 73.8MiB allocated; 8ms collecting garbage
Counts
65 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/.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 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) #s(literal 1 binary64))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 #s(literal 1/2 binary64) y (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

2 calls:

25.0ms
(+.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)))
13.0ms
(+.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
99.3%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
99.3%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes30.0ms (0.1%)

Memory
26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Counts
62 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

2 calls:

13.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
12.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
99.3%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
99.3%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes96.0ms (0.5%)

Memory
-1.8MiB live, 135.9MiB allocated; 20ms collecting garbage
Counts
60 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))) (sqrt.f64 z)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 z))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/.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 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) #s(literal 1 binary64))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))) #s(literal 1 binary64)))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

5 calls:

33.0ms
(+.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)))
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)))
17.0ms
x
12.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
11.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
96.5%2x
96.5%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.2%3(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
99.0%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
99.0%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 77 to 70 computations (9.1% saved)

regimes61.0ms (0.3%)

Memory
15.6MiB live, 106.1MiB allocated; 7ms collecting garbage
Counts
58 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

4 calls:

15.0ms
(+.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)))
15.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
14.0ms
y
12.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
96.2%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
96.2%2y
98.8%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
98.8%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 62 to 56 computations (9.7% saved)

regimes90.0ms (0.4%)

Memory
-26.3MiB live, 52.9MiB allocated; 95ms collecting garbage
Counts
57 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))) (sqrt.f64 z)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 z))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/.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 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) #s(literal 1 binary64))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

2 calls:

74.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
12.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
98.4%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)))
98.4%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes31.0ms (0.1%)

Memory
-2.8MiB live, 47.7MiB allocated; 10ms collecting garbage
Counts
52 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))) (sqrt.f64 z)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 z))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/.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 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

2 calls:

16.0ms
(+.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)))
11.0ms
(+.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
98.3%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
98.3%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes97.0ms (0.5%)

Memory
-7.1MiB live, 83.9MiB allocated; 6ms collecting garbage
Counts
49 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))) (sqrt.f64 x)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 z))) (sqrt.f64 x)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
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(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/.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)))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

7 calls:

21.0ms
y
20.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
12.0ms
x
10.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
10.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
Results
AccuracySegmentsBranch
91.7%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
91.7%2y
93.0%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
93.0%2x
96.9%3(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
97.6%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
97.6%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes61.0ms (0.3%)

Memory
-13.7MiB live, 82.7MiB allocated; 14ms collecting garbage
Counts
42 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))) (sqrt.f64 z)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 z))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

4 calls:

25.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
14.0ms
z
9.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
9.0ms
(+.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
92.2%3z
90.9%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
95.5%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
95.5%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 70 to 61 computations (12.9% saved)

regimes164.0ms (0.8%)

Memory
-0.0MiB live, 144.6MiB allocated; 20ms collecting garbage
Counts
41 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))) (sqrt.f64 z)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 z))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
Calls

10 calls:

42.0ms
x
42.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
15.0ms
(+.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)))
10.0ms
t
10.0ms
y
Results
AccuracySegmentsBranch
90.9%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
87.5%2y
87.5%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
90.9%2x
90.9%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
85.6%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
85.6%1t
87.5%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
90.9%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
90.9%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 100 to 105 computations (-5% saved)

regimes44.0ms (0.2%)

Memory
-1.9MiB live, 85.0MiB allocated; 10ms collecting garbage
Counts
32 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))) (sqrt.f64 z)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Calls

5 calls:

11.0ms
x
7.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
7.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
7.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
6.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
71.7%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
92.3%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
75.3%3x
71.7%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)))
92.3%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 77 to 70 computations (9.1% saved)

regimes60.0ms (0.3%)

Memory
45.6MiB live, 91.2MiB allocated; 3ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))) (sqrt.f64 z)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Calls

6 calls:

29.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
7.0ms
y
7.0ms
z
5.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
5.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
72.1%2y
66.8%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
87.5%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
87.5%2z
87.3%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
87.3%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 70 to 69 computations (1.4% saved)

regimes29.0ms (0.1%)

Memory
-31.5MiB live, 27.4MiB allocated; 7ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))) (sqrt.f64 z)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Calls

2 calls:

21.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
6.0ms
z
Results
AccuracySegmentsBranch
87.4%2z
87.4%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 8 to 13 computations (-62.5% saved)

regimes22.0ms (0.1%)

Memory
-16.6MiB live, 26.7MiB allocated; 6ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
Calls

2 calls:

17.0ms
z
4.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
87.3%2z
87.3%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 8 to 13 computations (-62.5% saved)

regimes78.0ms (0.4%)

Memory
23.6MiB live, 69.3MiB allocated; 2ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (- (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (sqrt x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)))
Calls

6 calls:

56.0ms
t
5.0ms
z
4.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
4.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
4.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
66.8%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
70.2%2t
84.8%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
84.8%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
84.8%2z
84.8%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 70 to 69 computations (1.4% saved)

regimes16.0ms (0.1%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
Calls

4 calls:

4.0ms
z
4.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
3.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
3.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
83.8%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
83.8%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
83.8%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
83.8%2z
Compiler

Compiled 62 to 56 computations (9.7% saved)

regimes39.0ms (0.2%)

Memory
-25.5MiB live, 18.8MiB allocated; 4ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
Calls

4 calls:

28.0ms
z
3.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
3.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
3.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
83.7%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
83.7%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)))
83.7%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)))
83.7%2z
Compiler

Compiled 62 to 56 computations (9.7% saved)

regimes44.0ms (0.2%)

Memory
-26.4MiB live, 37.1MiB allocated; 11ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (- (+ (+ (sqrt (+ 1 y)) (sqrt (+ x 1))) (sqrt (+ z 1))) (sqrt y)) (sqrt z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
Calls

11 calls:

12.0ms
t
4.0ms
z
4.0ms
y
4.0ms
x
3.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
65.8%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
65.8%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
65.8%1t
65.8%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
65.8%1(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
65.8%1y
65.8%1x
65.8%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
65.8%1(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
65.8%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)))
65.8%1z
Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes32.0ms (0.2%)

Memory
28.0MiB live, 28.0MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
Calls

11 calls:

3.0ms
z
3.0ms
y
3.0ms
x
3.0ms
t
3.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
44.0%1t
44.0%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
44.0%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
44.0%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
44.0%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
44.0%1(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
44.0%1(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
44.0%1(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
44.0%1x
44.0%1y
44.0%1z
Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes31.0ms (0.1%)

Memory
-17.7MiB live, 70.8MiB allocated; 9ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(-.f64 (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (sqrt.f64 t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) #s(approx (+ (+ (sqrt (+ 1 x)) 1) (+ (* 1/2 z) (sqrt (+ 1 y)))) (*.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (sqrt (+ 1 z))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
Calls

11 calls:

5.0ms
y
4.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
3.0ms
z
3.0ms
t
2.0ms
x
Results
AccuracySegmentsBranch
5.1%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
5.1%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
5.1%1(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
5.1%1(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
5.1%1x
5.1%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
5.1%1(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
5.1%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
5.1%1y
5.1%1t
5.1%1z
Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes11.0ms (0.1%)

Memory
28.4MiB live, 28.4MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

11 calls:

1.0ms
y
1.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
1.0ms
x
1.0ms
z
1.0ms
t
Results
AccuracySegmentsBranch
2.1%1y
2.1%1t
2.1%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
2.1%1z
2.1%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
2.1%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
2.1%1x
2.1%1(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
2.1%1(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
2.1%1(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
2.1%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Compiler

Compiled 101 to 109 computations (-7.9% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000270494892902
1.0007509595292277
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000258556921215
2.001608322747952
0.0ms
6.27244344286737e-5
0.4207476822906284
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.999609709806107
2.9999261123781658
0.0ms
6.27244344286737e-5
0.4207476822906284
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9999995639471724
2.9999999973880827
0.0ms
6.27244344286737e-5
0.4207476822906284
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch3.0ms (0%)

Memory
-42.7MiB live, 2.2MiB allocated; 3ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9999995639471724
2.9999999973880827
0.0ms
6.27244344286737e-5
0.4207476822906284
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9999995639471724
2.9999999973880827
0.0ms
6.27244344286737e-5
0.4207476822906284
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9999995639471724
2.9999999973880827
0.0ms
0.4207476822906284
0.9999583410539131
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9999995639471724
2.9999999973880827
0.0ms
0.9999583410539131
0.9999999995217366
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9999995639471724
2.9999999973880827
0.0ms
0.4207476822906284
0.9999583410539131
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
3.000049038670113
0.0ms
0.4207476822906284
0.9999583410539131
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4207476822906284
0.9999583410539131
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0
2.000000022351742
0.0ms
6.27244344286737e-5
0.4207476822906284
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.2351741790771484e-8
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.2351741790771484e-8
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.2351741790771484e-8
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch51.0ms (0.2%)

Memory
12.0MiB live, 69.4MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
0.4530798896590772
26.506516825617453
Samples
40.0ms109×1valid
0.0ms0valid
Compiler

Compiled 1 203 to 787 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
adjust: 15.0ms (42% of total)
ival-sqrt: 11.0ms (30.8% of total)
ival-add: 6.0ms (16.8% of total)
ival-sub: 4.0ms (11.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
0.4530798896590772
26.506516825617453
Compiler

Compiled 1 077 to 710 computations (34.1% saved)

bsearch32.0ms (0.2%)

Memory
-30.8MiB live, 60.7MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
0.4530798896590772
26.506516825617453
Samples
21.0ms62×1valid
0.0ms0valid
Compiler

Compiled 1 077 to 710 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
adjust: 7.0ms (37.6% of total)
ival-sqrt: 7.0ms (37.6% of total)
ival-add: 3.0ms (16.1% of total)
ival-sub: 2.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify180.0ms (0.9%)

Memory
-1.8MiB live, 98.1MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02944323
14694317
28724159
323844159
449544159
549964159
650254159
750934159
851934159
953574159
1062104159
1164034159
1269804159
1378274159
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4505851427184181/4503599627370496 binary64)) (+.f64 (+.f64 #s(approx (+ (/ (- (+ 1 x) x) (+ (sqrt x) (sqrt (+ 1 x)))) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4505851427184181/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ t 1) t) (+ (sqrt t) (sqrt (+ t 1))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 6754949081093007/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 6755398540335819/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) (sqrt x)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 6755398540335819/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/ (- (+ z 1) z) (+ (sqrt z) (sqrt (+ z 1))))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (sqrt (+ 1 x))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
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(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt y) (sqrt x))) #s(approx (+ 1 (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (neg.f64 (sqrt.f64 x))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))))
Outputs
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derivations1.7s (8.3%)

Memory
48.5MiB live, 1 281.2MiB allocated; 135ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05524008
117833738
269943738
086933544
0123711903
1420011230
2791111152
0802810663
077540
0129552
1622511
26577511
08240511
0129011401
1445710680
0844610190
02497
04397
120197
2200697
0931497
0157416413
1541115855
0884415164
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 4 323 to 297 computations (93.1% saved)

preprocess173.0ms (0.8%)

Memory
-17.9MiB live, 316.7MiB allocated; 24ms collecting garbage
Compiler

Compiled 10 510 to 1 320 computations (87.4% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Profiling

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