Main:z from

Time bar (total: 24.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze178.0ms (0.7%)

Memory
-16.8MiB live, 179.8MiB allocated
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)

sample11.1s (45.2%)

Memory
-121.0MiB live, 11 088.4MiB allocated
Samples
4.1s16 330×0invalid
4.1s7 526×1valid
184.0ms730×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.9s
ival-sqrt: 2.8s (40.5% of total)
ival-add: 2.4s (34.8% of total)
ival-sub: 951.0ms (13.8% of total)
adjust: 704.0ms (10.2% of total)
ival-true: 21.0ms (0.3% of total)
exact: 17.0ms (0.2% of total)
ival-assert: 11.0ms (0.2% of total)
Bogosity

explain1.1s (4.7%)

Memory
26.6MiB live, 938.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1360-0-(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
1310-0-(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
1220-0-(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
1210-0-(-.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 t #s(literal 1 binary64))) (sqrt.f64 t))cancellation350
-.f64(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))cancellation310
-.f64(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))cancellation310
-.f64(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))cancellation280
Confusion
Predicted +Predicted -
+480
-53155
Precision
0.4752475247524752
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4800
-530155
Precision?
0.4752475247524752
Recall?
1.0
Freqs
test
numberfreq
0155
179
220
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
371.0ms476×1valid
5.0ms36×0valid
Compiler

Compiled 449 to 100 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 332.0ms
ival-sub: 208.0ms (62.7% of total)
ival-sqrt: 57.0ms (17.2% of total)
ival-add: 34.0ms (10.3% of total)
adjust: 31.0ms (9.3% of total)
ival-true: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess179.0ms (0.7%)

Memory
7.8MiB live, 245.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073454
1257446
21131442
35923442
02431
04331
17231
218631
398931
4463731
5697731
0841631
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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
Symmetry

(sort x y z t)

Compiler

Compiled 31 to 24 computations (22.6% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(+.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)

simplify172.0ms (0.7%)

Memory
4.9MiB live, 200.7MiB allocated
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
172138
2186138
3989138
44637138
56977138
08416138
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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(-.f64 (-.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 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(-.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 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.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)

localize121.0ms (0.5%)

Memory
-5.4MiB live, 151.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.4930165640254038
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy18.182621036270838
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy41.985486999715
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.49671089984046
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
93.0ms238×1valid
3.0ms18×0valid
Compiler

Compiled 278 to 50 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-sqrt: 29.0ms (43.2% of total)
ival-add: 15.0ms (22.4% of total)
adjust: 14.0ms (20.9% of total)
ival-sub: 9.0ms (13.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.1%)

Memory
-0.4MiB live, 36.6MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
8.0ms
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
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
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
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)))

simplify133.0ms (0.5%)

Memory
23.5MiB live, 180.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05524159
117363889
262323889
080303682
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(- (+ 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))))
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(* 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)))) (+ (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))))
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(* -1/2 (sqrt (/ 1 t)))
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(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
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(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (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)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
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(* -1/2 (sqrt (/ 1 z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))
(- (+ 1 (+ (sqrt (+ 1 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)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z)))
(- (sqrt (+ 1 x)) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))
(* -1/2 (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 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)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) (+ (sqrt y) (sqrt z)))
(- (sqrt (+ 1 y)) (sqrt y))
(- (+ (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))
Outputs
(-.f64 (-.f64 (+.f64 (+.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 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))
(-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) t (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 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))
(-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (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 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))
(-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (fma.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))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 t))
(fma.f64 #s(literal 1/2 binary64) t (-.f64 #s(literal 1 binary64) (sqrt.f64 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)))
(fma.f64 (fma.f64 (fma.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)))
(-.f64 (+.f64 (+.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)))
(-.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)))
(-.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)))
(-.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)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))
(/.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 (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)
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 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)
(-.f64 (+.f64 (+.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)))
(-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.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)))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.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)))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (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)) (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)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) (neg.f64 t))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (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))
(/.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 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (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))
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))
(-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))
(-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))
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(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
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(-.f64 #s(literal 1 binary64) (sqrt.f64 z))
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(fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) z #s(literal -1/8 binary64)) z #s(literal 1/2 binary64)) z (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 t)))
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 t)))
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(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
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(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
(-.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 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 y))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))

rewrite207.0ms (0.8%)

Memory
-26.1MiB live, 253.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02497
04397
120897
2216497
0921197
Stop Event
iter limit
node limit
iter limit
Counts
7 → 397
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
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eval84.0ms (0.3%)

Memory
30.1MiB live, 146.8MiB allocated
Compiler

Compiled 32 326 to 2 443 computations (92.4% saved)

prune35.0ms (0.1%)

Memory
3.7MiB live, 79.6MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New53320553
Fresh000
Picked101
Done000
Total53420554
Accuracy
99.6%
Counts
554 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.1%
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
94.2%
(+.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)))
94.2%
(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 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)))
95.2%
(+.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)))
94.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.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)))
94.4%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
68.2%
(+.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))) #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)))
66.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #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)))
65.4%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
93.1%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)))
3.1%
(+.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)))
33.6%
(+.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)))
8.3%
(+.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)))
72.9%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
39.5%
(+.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)))
47.4%
(+.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) y)) (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)))
48.6%
(+.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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64))))
33.7%
#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))))
33.3%
#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) 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))))
Compiler

Compiled 1 804 to 1 296 computations (28.2% saved)

simplify179.0ms (0.7%)

Memory
-28.1MiB live, 206.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 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))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))
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))) #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)))
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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.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) y)) (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)))
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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))
cost-diff0
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
cost-diff0
(+.f64 (+.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)))
cost-diff0
(-.f64 (+.f64 (+.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)))
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) 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))))
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-diff384
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077833
0127829
1238829
2645813
33130813
45403813
57299813
08659813
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) 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))))
(-.f64 (+.f64 (+.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)))
(+.f64 (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(+.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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 y)
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) y)) (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) y)) (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) y)) (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) y)) (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) y)) (sqrt.f64 (+.f64 #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) x))
(+.f64 #s(literal 1 binary64) x)
x
(+.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))) #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 (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 (-.f64 (sqrt.f64 (+.f64 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)
#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 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
#s(literal 1/2 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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) (sqrt.f64 x))
(-.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)
x
#s(literal 1 binary64)
(sqrt.f64 x)
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(literal 1 binary64)
(+.f64 y #s(literal 1 binary64))
y
(+.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)) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (sqrt.f64 y)))
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (sqrt.f64 y))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
z
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) #s(approx (- (sqrt (+ y 1)) (sqrt 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 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(-.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)
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 y)
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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 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)) (- (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 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.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 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(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 y #s(literal 1 binary64))))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(+.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (+.f64 #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.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 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.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)
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)
#s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
#s(literal 1/2 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)

localize451.0ms (1.8%)

Memory
15.7MiB live, 543.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.4930165640254038
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy18.182621036270838
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy18.356996931349837
#s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
accuracy57.49671089984046
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy0.1484375
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy15.796657243060332
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
accuracy17.867923511700216
#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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
accuracy57.49671089984046
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy1.4930165640254038
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy21.20375479951001
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
accuracy41.985486999715
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.49671089984046
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy0.01953125
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
accuracy0.04296875
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy3.5099151746175643
#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) 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))))
accuracy39.17299636157346
(-.f64 (+.f64 (+.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)))
accuracy1.4930165640254038
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy16.722276326767314
(-.f64 (+.f64 y #s(literal 1 binary64)) y)
accuracy41.985486999715
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.49671089984046
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
325.0ms238×1valid
50.0ms18×0valid
Compiler

Compiled 1 561 to 130 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-sqrt: 79.0ms (29% of total)
ival-sub: 73.0ms (26.8% of total)
adjust: 68.0ms (24.9% of total)
ival-add: 44.0ms (16.1% of total)
ival-div: 6.0ms (2.2% 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)

series103.0ms (0.4%)

Memory
7.1MiB live, 91.9MiB allocated
Counts
26 → 744
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (-.f64 (+.f64 y #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.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)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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) 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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (+.f64 (+.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt 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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.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) y)) (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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (-.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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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) 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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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) 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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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) 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)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify379.0ms (1.5%)

Memory
-6.8MiB live, 225.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109920313
1375619098
0817618262
Stop Event
iter limit
node limit
Counts
744 → 744
Calls
Call 1
Inputs
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 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 (+ 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 (+ 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 (+ 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 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
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(- (+ (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))))
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(* 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 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt x) (sqrt z)))
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(- (+ (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))))
(- (+ (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))))
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(- (+ (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))))
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(*.f64 (neg.f64 x) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (/.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))) (neg.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
(-.f64 (+.f64 (-.f64 (+.f64 (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) x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 x)))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (-.f64 (+.f64 (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) x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 x)))) x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.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)) (sqrt.f64 y))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 x)))) x)) (sqrt.f64 y))

rewrite233.0ms (0.9%)

Memory
21.8MiB live, 370.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077557
0127563
1647528
27198528
08042528
Stop Event
iter limit
node limit
iter limit
Counts
26 → 782
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) 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))))
(-.f64 (+.f64 (+.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)))
(+.f64 (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(-.f64 (sqrt.f64 (+.f64 x #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) y)) (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) y)) (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) y)) (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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (+.f64 (-.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 (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 (-.f64 (sqrt.f64 (+.f64 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 z) (sqrt.f64 y))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
#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 y #s(literal 1 binary64))) (sqrt.f64 y))
Outputs
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eval601.0ms (2.4%)

Memory
-11.5MiB live, 455.9MiB allocated
Compiler

Compiled 109 232 to 5 406 computations (95.1% saved)

prune154.0ms (0.6%)

Memory
3.1MiB live, 211.5MiB allocated
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New1 698261 724
Fresh10515
Picked505
Done000
Total1 713311 744
Accuracy
100.0%
Counts
1 744 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.2%
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 #s(approx (- (sqrt (+ z 1)) (sqrt z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
95.1%
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
68.2%
(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #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)))
95.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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)))
65.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)))
65.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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))))))
60.7%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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))))
93.1%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)))
66.4%
(+.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))) #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)))
65.4%
(+.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 #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)))
8.6%
(+.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)))
16.0%
(+.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)))
8.3%
(+.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)))
69.7%
(+.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) 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)))
70.9%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.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)))
48.6%
(+.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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
41.8%
(+.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 y)) (sqrt (+ 1 x)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
33.5%
(+.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 y)) (sqrt (+ 1 x)))) (+ (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)))
65.9%
(+.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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (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)))
10.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
32.5%
#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 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
33.7%
#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))))
32.6%
#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 (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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
32.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
60.7%
#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 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
47.4%
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
48.6%
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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)))))
53.6%
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
Compiler

Compiled 3 456 to 2 406 computations (30.4% saved)

simplify157.0ms (0.6%)

Memory
-8.5MiB live, 238.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
093911
0143908
1261908
2644888
32723888
45123888
56865888
08222888
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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
#s(approx (- (+ y 1) y) #s(literal 1 binary64))
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 y)
y
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.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 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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
#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 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 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)
(+.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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (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)
#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))))
(-.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)))
(+.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)))
(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) t))
(/.f64 #s(literal 1 binary64) t)
#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) z))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(+.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)
Outputs
(+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (-.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))
(+.f64 (/.f64 #s(approx (- (+ y 1) y) #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 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(sqrt.f64 x)
(/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (+ y 1) y) #s(literal 1 binary64))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.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 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.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)
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 #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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (+.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 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.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 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 y #s(literal 1 binary64)))
(+.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)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(+.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)

localize448.0ms (1.8%)

Memory
10.4MiB live, 687.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy0.14453125
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
accuracy3.2824455080487844
#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))))
accuracy39.17071135180502
(-.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)))
accuracy2.567960688592507
#s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+ (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)))))
accuracy17.867923511700216
#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 y)) (sqrt (+ 1 x)))) (+ (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))))))
accuracy17.940383008439284
(-.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)))
accuracy57.49671089984046
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy0.04296875
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy1.5398915640254496
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
accuracy3.5099151746175643
#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 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
accuracy39.61830660826192
(-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
accuracy0.04296875
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy3.5099151746175643
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
accuracy22.369873248690478
#s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z))
accuracy39.17299636157346
(-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
accuracy0.109375
(/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
accuracy1.4930165640254038
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy41.985486999715
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.49671089984046
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
357.0ms238×1valid
11.0ms18×0valid
Compiler

Compiled 1 630 to 158 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-add: 103.0ms (37.9% of total)
adjust: 66.0ms (24.3% of total)
ival-sqrt: 66.0ms (24.3% of total)
ival-sub: 23.0ms (8.5% of total)
ival-div: 9.0ms (3.3% of total)
ival-mult: 5.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series115.0ms (0.5%)

Memory
4.7MiB live, 118.7MiB allocated
Counts
27 → 840
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.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 y)) (sqrt (+ 1 x)))) (+ (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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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 y)) (sqrt (+ 1 x)))) (+ (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)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+ (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))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #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 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.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 y)) (sqrt (+ 1 x)))) (+ (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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.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 y)) (sqrt (+ 1 x)))) (+ (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))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.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))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
27.0ms
z
@inf
((+ (+ (+ (- (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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (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 y)) (sqrt (+ 1 x)))) (+ (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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1)))) (+ (sqrt z) (sqrt y)) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (sqrt (/ 1 t)))
3.0ms
z
@-inf
((+ (+ (+ (- (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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (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 y)) (sqrt (+ 1 x)))) (+ (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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1)))) (+ (sqrt z) (sqrt y)) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (sqrt (/ 1 t)))
3.0ms
y
@-inf
((+ (+ (+ (- (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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (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 y)) (sqrt (+ 1 x)))) (+ (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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1)))) (+ (sqrt z) (sqrt y)) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (sqrt (/ 1 t)))
3.0ms
y
@inf
((+ (+ (+ (- (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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (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 y)) (sqrt (+ 1 x)))) (+ (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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1)))) (+ (sqrt z) (sqrt y)) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (sqrt (/ 1 t)))
3.0ms
x
@-inf
((+ (+ (+ (- (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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (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 y)) (sqrt (+ 1 x)))) (+ (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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1)))) (+ (sqrt z) (sqrt y)) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (sqrt (/ 1 t)))

simplify243.0ms (1%)

Memory
1.1MiB live, 355.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138723032
1481621666
0817020745
Stop Event
iter limit
node limit
Counts
840 → 838
Calls
Call 1
Inputs
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(- (+ 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 (+ 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 (+ 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 (+ 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)))))
(* 1/2 (sqrt (/ 1 t)))
(/ (+ (* 1/2 (sqrt t)) (* t (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))) t)
(/ (+ (* 1/2 (sqrt t)) (* t (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))) t)
(/ (+ (* 1/2 (sqrt t)) (* t (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))) t)
(* 1/2 (sqrt (/ 1 t)))
(/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))))) t)
(/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))))) t)
(/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))))) t)
(* 1/2 (sqrt (/ 1 t)))
(/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) t)
(/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) t)
(/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) t)
(- 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 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
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(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
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(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
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x
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Outputs
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#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
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(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t))))
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(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) x) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
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(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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) y)) (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) y)) (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) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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)) (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)) (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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
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(-.f64 (+.f64 (+.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)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(/.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)
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(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
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(-.f64 (+.f64 (+.f64 (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) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(sqrt.f64 x)
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
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(-.f64 (+.f64 (+.f64 (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) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(sqrt.f64 x)
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
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(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
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(-.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 y))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
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(-.f64 (+.f64 (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) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(neg.f64 (sqrt.f64 x))
(*.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(-.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
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(-.f64 (+.f64 (+.f64 (+.f64 (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) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 (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) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(sqrt.f64 x)
(fma.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) x))) (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))))
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(neg.f64 (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (*.f64 x (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (*.f64 x (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
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(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t)))
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(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
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(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
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(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
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(neg.f64 (sqrt.f64 x))
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (sqrt.f64 x))
(*.f64 (neg.f64 x) (fma.f64 (/.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 y)) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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(*.f64 (neg.f64 x) (fma.f64 (/.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 y)) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

rewrite224.0ms (0.9%)

Memory
8.8MiB live, 332.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093682
0143679
1713666
27206666
08188666
Stop Event
iter limit
node limit
iter limit
Counts
27 → 599
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))
(-.f64 (sqrt.f64 (+.f64 x #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 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z))
(sqrt.f64 z)
#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 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (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(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))))
(-.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)))
(+.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)))
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(-.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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.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)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
Outputs
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eval860.0ms (3.5%)

Memory
-17.7MiB live, 408.6MiB allocated
Compiler

Compiled 122 531 to 5 587 computations (95.4% saved)

prune284.0ms (1.2%)

Memory
33.0MiB live, 235.3MiB allocated
Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New1 645211 666
Fresh121426
Picked415
Done000
Total1 661361 697
Accuracy
100.0%
Counts
1 697 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.2%
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 #s(approx (- (sqrt (+ z 1)) (sqrt z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
95.8%
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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)))
68.2%
(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #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)))
95.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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)))
65.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)))
65.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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))))))
93.1%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)))
3.3%
(+.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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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)))
65.4%
(+.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 #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)))
8.6%
(+.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)))
16.0%
(+.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)))
8.3%
(+.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)))
69.7%
(+.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) 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)))
70.9%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.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)))
65.9%
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
34.1%
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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)))
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 y)) (sqrt (+ 1 x)))) (+ (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)))
32.1%
(+.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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
41.8%
(+.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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
39.0%
(+.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 y)) (sqrt (+ 1 x)))) (+ (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)))
10.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
32.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (+.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
32.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (neg.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (neg.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
33.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
32.6%
#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 (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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
28.4%
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
33.4%
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
37.6%
#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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
66.2%
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
67.4%
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
62.2%
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
38.8%
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x)))))
32.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (*.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
6.2%
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
48.6%
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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)))))
Compiler

Compiled 4 589 to 2 977 computations (35.1% saved)

simplify175.0ms (0.7%)

Memory
-15.7MiB live, 257.6MiB allocated
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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))
cost-diff0
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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-diff384
(-.f64 (+.f64 t #s(literal 1 binary64)) t)
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
cost-diff0
#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))))
cost-diff0
(+.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)))
cost-diff0
(+.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)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))
cost-diff0
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
cost-diff0
(+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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-diff320
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64))))
cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101982
0158974
1308958
2796910
33070910
46205910
57794910
08510904
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
#s(approx (- (+ y 1) y) #s(literal 1 binary64))
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (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)
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#s(approx (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
#s(literal 1/2 binary64)
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
(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 (+.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 #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)))
#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 #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)
(-.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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 y)
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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (/.f64 (fma.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (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 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 z #s(literal 1 binary64))) (sqrt.f64 z)) (/.f64 (fma.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))
(/.f64 (fma.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))
(fma.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
#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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 x)
#s(approx (- (+ y 1) y) #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 (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))) #s(approx (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#s(approx (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
#s(literal 1/2 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 (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 x)
(+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))
(+.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 y #s(literal 1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (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 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 (+.f64 (+.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))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) #s(approx (- (sqrt (+ y 1)) (sqrt 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 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 y)
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 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))
#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)))

localize593.0ms (2.4%)

Memory
-29.2MiB live, 908.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.4930165640254038
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy21.20375479951001
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
accuracy41.985486999715
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.63931454015361
(-.f64 (+.f64 t #s(literal 1 binary64)) t)
accuracy0.109375
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
accuracy41.985486999715
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy54.03553538639593
#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))))
accuracy57.49671089984046
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy1.5398915640254496
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
accuracy3.5099151746175643
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
accuracy17.90025166951467
#s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
accuracy17.940383008439284
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
accuracy0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))
accuracy0.14453125
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
accuracy3.2824455080487844
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
accuracy57.276906122115356
#s(approx (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))
accuracy0.0546875
(/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))
accuracy1.4609044631971562
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy41.985486999715
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.49671089984046
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
388.0ms238×1valid
12.0ms18×0valid
Compiler

Compiled 1 790 to 177 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 296.0ms
adjust: 71.0ms (24% of total)
ival-add: 67.0ms (22.7% of total)
ival-div: 50.0ms (16.9% of total)
ival-sqrt: 44.0ms (14.9% of total)
ival-mult: 38.0ms (12.9% of total)
ival-sub: 24.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series126.0ms (0.5%)

Memory
31.1MiB live, 265.3MiB allocated
Counts
27 → 732
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (-.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (+.f64 t #s(literal 1 binary64)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
14.0ms
x
@-inf
((- (+ 1 x) x) (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (+ (+ (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (* (sqrt (/ 1 t)) 1/2) (sqrt (/ 1 t)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (sqrt (+ x 1)) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (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))))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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)) (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))
11.0ms
x
@0
((- (+ 1 x) x) (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (+ (+ (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (* (sqrt (/ 1 t)) 1/2) (sqrt (/ 1 t)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (sqrt (+ x 1)) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (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))))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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)) (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))
10.0ms
y
@0
((- (+ 1 x) x) (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (+ (+ (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (* (sqrt (/ 1 t)) 1/2) (sqrt (/ 1 t)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (sqrt (+ x 1)) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (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))))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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)) (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))
10.0ms
y
@inf
((- (+ 1 x) x) (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (+ (+ (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (* (sqrt (/ 1 t)) 1/2) (sqrt (/ 1 t)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (sqrt (+ x 1)) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (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))))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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)) (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))
8.0ms
y
@-inf
((- (+ 1 x) x) (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (+ (+ (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (* (sqrt (/ 1 t)) 1/2) (sqrt (/ 1 t)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (sqrt (+ x 1)) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (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))))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt 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)) (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ y 1)) (sqrt y)))) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x)))

simplify408.0ms (1.7%)

Memory
5.0MiB live, 244.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199429670
1707228177
0817227195
Stop Event
iter limit
node limit
Counts
732 → 730
Calls
Call 1
Inputs
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(/ (+ (* 1/2 (sqrt t)) (* t (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))) t)
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1
1
1
1
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Outputs
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#s(literal 1 binary64)
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(-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (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)))
(-.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (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)))
(-.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (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)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (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)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 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)
(-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 y) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (/.f64 (sqrt.f64 x) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z))
(-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 y) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (/.f64 (sqrt.f64 x) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))) (sqrt.f64 z))
(-.f64 (+.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 y) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (/.f64 (sqrt.f64 x) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (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)) (+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 y) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (/.f64 (sqrt.f64 x) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))) (sqrt.f64 z))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (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)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (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)))
(-.f64 (+.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (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)))
(-.f64 (+.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (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)))
(-.f64 (+.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (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)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (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)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (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 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (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))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (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)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) t)
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (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)
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #s(literal 1 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)))))) t)
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 y) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (/.f64 (sqrt.f64 x) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) x)
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x
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(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.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)) (sqrt.f64 y))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(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 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.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 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(neg.f64 (sqrt.f64 x))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (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 y)) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (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 y)) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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(neg.f64 (sqrt.f64 x))
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(/.f64 (neg.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 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 x #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 x)))))) x)

rewrite433.0ms (1.8%)

Memory
-0.6MiB live, 120.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101729
0158729
1839666
08417662
Stop Event
iter limit
node limit
iter limit
Counts
27 → 530
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64))))
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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 (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#s(approx (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.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 #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)))
#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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(-.f64 (+.f64 t #s(literal 1 binary64)) t)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
#s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
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eval469.0ms (1.9%)

Memory
12.8MiB live, 519.7MiB allocated
Compiler

Compiled 116 972 to 5 381 computations (95.4% saved)

prune104.0ms (0.4%)

Memory
12.2MiB live, 248.0MiB allocated
Pruning

38 alts after pruning (36 fresh and 2 done)

PrunedKeptTotal
New1 403121 415
Fresh62430
Picked415
Done011
Total1 413381 451
Accuracy
100.0%
Counts
1 451 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.9%
(+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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)))
68.2%
(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #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)))
95.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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)))
65.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)))
29.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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))))))
93.1%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)))
3.3%
(+.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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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)))
65.4%
(+.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 #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)))
35.7%
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)))
41.6%
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)))
16.0%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
8.3%
(+.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)))
69.7%
(+.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) 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)))
70.9%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.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)))
34.1%
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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)))
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 y)) (sqrt (+ 1 x)))) (+ (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)))
39.0%
(+.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 y)) (sqrt (+ 1 x)))) (+ (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)))
10.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
32.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (+.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
32.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (neg.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (neg.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
33.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (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 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x))))
32.6%
#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 (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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))
28.4%
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
33.4%
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
37.6%
#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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
67.4%
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
66.2%
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
38.8%
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x)))))
33.5%
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (sqrt.f64 x)))))))
41.8%
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
40.3%
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))))
65.9%
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
32.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (*.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
6.2%
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
6.2%
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
48.6%
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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)))))
Compiler

Compiled 7 382 to 2 143 computations (71% saved)

regimes250.0ms (1%)

Memory
-30.0MiB live, 408.2MiB allocated
Counts
80 → 2
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
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(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 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))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (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))) (- (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))))
(+.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) y)) (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)))
(+.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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #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)))
(+.f64 (+.f64 (+.f64 (-.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))) (-.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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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) 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) 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 (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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)))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 #s(approx (- (sqrt (+ z 1)) (sqrt z)) (/.f64 #s(literal 1/2 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 #s(approx (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 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 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #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 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) #s(approx (- (+ y 1) y) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.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 (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (+.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (-.f64 (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))) (- (sqrt (+ t 1)) (sqrt t))) (/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (neg.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (neg.f64 (+.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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
Outputs
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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 (-.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)))
Calls

11 calls:

27.0ms
y
24.0ms
t
24.0ms
x
24.0ms
z
22.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
98.0%2x
98.2%2y
95.8%1z
95.8%1t
98.0%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)))
98.0%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
98.0%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)))
98.0%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.2%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
95.8%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
95.8%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes41.0ms (0.2%)

Memory
23.9MiB live, 105.2MiB allocated
Counts
67 → 2
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 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))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (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))) (- (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))))
(+.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) y)) (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)))
(+.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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #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)))
(+.f64 (+.f64 (+.f64 (-.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))) (-.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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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) 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) 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 (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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)))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 #s(approx (- (sqrt (+ z 1)) (sqrt z)) (/.f64 #s(literal 1/2 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))))))
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 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)))
Calls

2 calls:

20.0ms
y
17.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Results
AccuracySegmentsBranch
98.1%2y
98.1%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Compiler

Compiled 8 to 13 computations (-62.5% saved)

regimes56.0ms (0.2%)

Memory
-21.8MiB live, 137.4MiB allocated
Counts
66 → 2
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (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))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))
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(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.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 #s(approx (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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 y)) (sqrt (+ 1 x)))) (+ (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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 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))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (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))) (- (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))))
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(+.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)))
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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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
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(+.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) 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)))
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(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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)))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 #s(approx (- (sqrt (+ z 1)) (sqrt z)) (/.f64 #s(literal 1/2 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 (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.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)))
Calls

3 calls:

19.0ms
y
16.0ms
(+.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)))
15.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Results
AccuracySegmentsBranch
98.0%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)))
98.0%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
98.0%2y
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes119.0ms (0.5%)

Memory
5.5MiB live, 241.4MiB allocated
Counts
64 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (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))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 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))) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #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 (/.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 (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (- (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (-.f64 z y) (-.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 (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 #s(approx (+ (sqrt z) (sqrt 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 y)) (sqrt (+ 1 x)))) (+ (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 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))) #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.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 #s(approx (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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 y)) (sqrt (+ 1 x)))) (+ (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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 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))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (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))) (- (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))))
(+.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) y)) (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)))
(+.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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #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)))
(+.f64 (+.f64 (+.f64 (-.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))) (-.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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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) 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) 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 (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)))
Outputs
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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))))))
Calls

7 calls:

19.0ms
x
18.0ms
y
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)))
16.0ms
(+.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)))
15.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Results
AccuracySegmentsBranch
97.8%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
97.8%2y
96.5%2x
96.5%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.5%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
99.5%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
97.6%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes46.0ms (0.2%)

Memory
-25.1MiB live, 74.3MiB allocated
Counts
63 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
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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 (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))))
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Outputs
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(+.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) 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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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))))))
Calls

2 calls:

16.0ms
(+.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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
99.4%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
99.4%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes68.0ms (0.3%)

Memory
27.1MiB live, 143.4MiB allocated
Counts
62 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (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))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 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))) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #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 (/.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 (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (- (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (-.f64 z y) (-.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 (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 #s(approx (+ (sqrt z) (sqrt 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 y)) (sqrt (+ 1 x)))) (+ (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 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))) #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.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 #s(approx (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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 y)) (sqrt (+ 1 x)))) (+ (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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 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))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (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))) (- (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))))
(+.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) y)) (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)))
(+.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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #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)))
(+.f64 (+.f64 (+.f64 (-.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))) (-.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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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) 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)))
Outputs
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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))))))
Calls

4 calls:

18.0ms
y
16.0ms
(+.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))
15.0ms
(+.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
96.5%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
98.6%3y
99.2%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
99.2%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 62 to 56 computations (9.7% saved)

regimes131.0ms (0.5%)

Memory
-13.6MiB live, 263.5MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (-.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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.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)))
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(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (- (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (-.f64 z y) (-.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 (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 #s(approx (+ (sqrt z) (sqrt 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 y)) (sqrt (+ 1 x)))) (+ (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 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))) #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.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 #s(approx (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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 y)) (sqrt (+ 1 x)))) (+ (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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 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))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (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))) (- (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))))
(+.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) y)) (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)))
(+.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)))
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(+.f64 (+.f64 (+.f64 (-.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))) (-.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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)))
Outputs
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)))
Calls

8 calls:

18.0ms
t
17.0ms
z
17.0ms
y
16.0ms
(+.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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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
98.1%3y
96.1%2z
94.2%1t
94.2%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
96.1%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
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)))
98.2%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
98.2%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 86 to 87 computations (-1.2% saved)

regimes115.0ms (0.5%)

Memory
14.2MiB live, 207.6MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (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))) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 #s(approx (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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 y)) (sqrt (+ 1 x)))) (+ (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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 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))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (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))) (- (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))))
(+.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) y)) (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)))
(+.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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #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)))
(+.f64 (+.f64 (+.f64 (-.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))) (-.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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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))))))
Outputs
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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))))))
Calls

7 calls:

18.0ms
y
18.0ms
x
16.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
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)))
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)))
Results
AccuracySegmentsBranch
96.3%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
96.3%2x
96.2%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
98.0%3y
98.0%3(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
98.0%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)))
98.0%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes90.0ms (0.4%)

Memory
19.9MiB live, 140.9MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (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))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 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))) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #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 (/.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 (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (- (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (-.f64 z y) (-.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 (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 #s(approx (+ (sqrt z) (sqrt 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 y)) (sqrt (+ 1 x)))) (+ (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 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))) #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.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 #s(approx (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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 y)) (sqrt (+ 1 x)))) (+ (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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) 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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 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))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (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))) (- (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))))
(+.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) y)) (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)))
(+.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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #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)))
(+.f64 (+.f64 (+.f64 (-.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))) (-.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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
Outputs
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

5 calls:

21.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
19.0ms
y
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)))
16.0ms
x
14.0ms
(+.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
96.3%2x
96.2%2y
96.3%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
96.3%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)))
96.3%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)))
Compiler

Compiled 71 to 65 computations (8.5% saved)

regimes371.0ms (1.5%)

Memory
-17.6MiB live, 137.4MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (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))) (fma.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (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))) (- (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))))
(+.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) y)) (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)))
(+.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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #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)))
(+.f64 (+.f64 (+.f64 (-.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)))
Outputs
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.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)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

7 calls:

273.0ms
(+.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)))
16.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
16.0ms
x
16.0ms
(+.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)))
15.0ms
y
Results
AccuracySegmentsBranch
96.0%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
97.8%3y
97.8%3(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
95.9%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
95.9%2x
97.8%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)))
97.8%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes70.0ms (0.3%)

Memory
9.3MiB live, 45.8MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (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))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 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))) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #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 (/.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 (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (- (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (-.f64 z y) (-.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 (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 #s(approx (+ (sqrt z) (sqrt 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 y)) (sqrt (+ 1 x)))) (+ (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 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))) #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)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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)) #s(approx (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.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 #s(approx (+ (* (sqrt (/ 1 z)) 1/2) (+ (sqrt (+ 1 y)) (sqrt (+ 1 x)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #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 y)) (sqrt (+ 1 x)))) (+ (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
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.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 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
Calls

3 calls:

43.0ms
(+.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)))
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)))
11.0ms
(+.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
97.8%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)))
97.8%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
97.8%3(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
Compiler

Compiled 69 to 57 computations (17.4% saved)

regimes165.0ms (0.7%)

Memory
-18.3MiB live, 182.7MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (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))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 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))) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #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 (/.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)))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.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 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
Calls

11 calls:

39.0ms
t
28.0ms
(+.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)))
17.0ms
y
13.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
11.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
82.6%2t
76.2%2(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
70.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
81.1%2x
95.7%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
95.7%2z
95.7%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
95.7%2y
95.7%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)))
95.7%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)))
95.7%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)))
Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes136.0ms (0.5%)

Memory
8.4MiB live, 81.3MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (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))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 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))) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #s(literal 1 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #s(literal 1 binary64))))) (-.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 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

7 calls:

48.0ms
y
44.0ms
z
8.0ms
(+.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)))
8.0ms
(+.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)))
8.0ms
(+.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
95.9%3y
95.6%3(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
95.9%3(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
93.4%2z
93.4%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
96.4%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)))
96.4%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes22.0ms (0.1%)

Memory
1.4MiB live, 39.4MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (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))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 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))) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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))) #s(approx (- (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) x))) (+.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))) #s(approx (- (sqrt (+ y 1)) (sqrt 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)))
Calls

2 calls:

11.0ms
(+.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)))
8.0ms
(+.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
96.4%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)))
96.4%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes111.0ms (0.4%)

Memory
17.8MiB live, 105.3MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (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))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (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) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y)) (sqrt (+ 1 x)))) (+ (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) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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))) #s(approx (- (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
Calls

7 calls:

59.0ms
y
10.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
9.0ms
z
8.0ms
(+.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)))
8.0ms
(+.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
88.4%2z
88.4%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
70.5%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
70.8%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
77.1%3y
91.4%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)))
91.4%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 85 to 83 computations (2.4% saved)

regimes18.0ms (0.1%)

Memory
-10.0MiB live, 28.8MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (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))))) #s(approx (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (+.f64 (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)) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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))) #s(approx (- (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Calls

2 calls:

9.0ms
(+.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)))
Results
AccuracySegmentsBranch
91.4%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)))
91.4%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes12.0ms (0%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
Outputs
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Calls

2 calls:

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
91.4%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)))
91.4%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes79.0ms (0.3%)

Memory
-27.1MiB live, 10.1MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Calls

2 calls:

73.0ms
(+.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)))
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)))
Results
AccuracySegmentsBranch
91.4%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)))
91.4%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)

regimes11.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) 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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 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 (+.f64 (+.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 #s(approx (+ (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (+.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))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))
Calls

2 calls:

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
90.0%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)))
90.0%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes9.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) x))) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) x))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))))
Calls

2 calls:

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)))
Results
AccuracySegmentsBranch
90.0%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)))
90.0%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 54 to 43 computations (20.4% saved)

regimes57.0ms (0.2%)

Memory
-12.7MiB live, 67.7MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
Calls

11 calls:

15.0ms
t
8.0ms
(+.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)))
4.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
69.0%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)))
69.3%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
67.4%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
69.3%2y
67.4%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
67.4%1x
67.4%1t
69.4%2z
69.4%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
71.3%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)))
71.3%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 101 to 109 computations (-7.9% saved)

regimes21.0ms (0.1%)

Memory
3.1MiB live, 39.1MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 y)) (sqrt (+ 1 x)))) (+ (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)))
(+.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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
#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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x)))))
Calls

5 calls:

6.0ms
y
4.0ms
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
69.3%2y
67.4%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
67.4%1z
69.0%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)))
69.0%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 63 to 60 computations (4.8% saved)

regimes30.0ms (0.1%)

Memory
22.5MiB live, 59.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 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 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))
#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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #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 y)) (sqrt (+ 1 x)))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (* (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))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (sqrt.f64 z)) (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 x)))))
Calls

11 calls:

5.0ms
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
38.8%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
38.8%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
38.8%1t
38.8%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
38.8%1x
38.8%1z
38.8%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)))
38.8%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)))
38.8%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)))
38.8%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
38.8%1y
Compiler

Compiled 101 to 109 computations (-7.9% saved)

regimes33.0ms (0.1%)

Memory
-27.4MiB live, 24.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

11 calls:

17.0ms
x
2.0ms
(+.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)))
2.0ms
y
2.0ms
(+.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)))
2.0ms
t
Results
AccuracySegmentsBranch
6.2%1y
6.2%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)))
6.2%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)))
6.2%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
6.2%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
6.2%1x
6.2%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)))
6.2%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
6.2%1z
6.2%1t
6.2%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
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0001822276417442481
0.00020843693209826597
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch18.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
5754275.1827724865
7528552.290249415
Samples
12.0ms39×1valid
1.0ms0valid
Compiler

Compiled 370 to 238 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sqrt: 5.0ms (46.2% of total)
ival-add: 2.0ms (18.5% of total)
adjust: 2.0ms (18.5% of total)
ival-sub: 1.0ms (9.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.022169076825012013
0.6243873419115018
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
0.022169076825012013
0.6243873419115018
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
0.0
0.022169076825012013
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
0.022169076825012013
0.6243873419115018
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9999999999999991
1.9999999999999996
0.0ms
0.022169076825012013
0.6243873419115018
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9999999999999991
1.9999999999999996
0.0ms
0.022169076825012013
0.6243873419115018
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.022169076825012013
0.6243873419115018
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9998332566942796
1.9998674825749392
0.0ms
0.022169076825012013
0.6243873419115018
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9999999999999991
1.9999999999999996
0.0ms
0.022169076825012013
0.6243873419115018
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9999999999999991
1.9999999999999996
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
1.0000135059090098
1.0001822276417442
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch7.0ms (0%)

Memory
-36.4MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
1.0000135059090098
1.0001822276417442
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
1.0000135059090098
1.0001822276417442
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
1.0000135059090098
1.0001822276417442
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
1.0000135059090098
1.0001822276417442
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
1.0000135059090098
1.0001822276417442
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
1.0
1.0000000074505802
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000110845503514
2.000141168348364
0.0ms
1.0
1.0000000074505802
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0112655089982567
2.9965120943533425
0.0ms
1.0
1.0000000074505802
Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch13.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
11.0ms
3546160538272275.0
7423577781482477.0
Samples
9.0ms31×1valid
0.0ms0valid
Compiler

Compiled 294 to 205 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sqrt: 3.0ms (36.6% of total)
ival-add: 2.0ms (24.4% of total)
adjust: 2.0ms (24.4% of total)
ival-sub: 1.0ms (12.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify54.0ms (0.2%)

Memory
-13.0MiB live, 107.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02774886
13894886
24304886
34534886
44644886
54654886
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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 (-.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))))
(if (<=.f64 y #s(literal 7500000 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 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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))))
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(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 5764607523034235/144115188075855872 binary64)) (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ 1 x) x) (+ (sqrt (+ y 1)) (sqrt y))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (+ y 1) y))) (* (+ (sqrt (+ 1 x)) (sqrt 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))) (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 4503824807351865/2251799813685248 binary64)) (+.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) 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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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))))))))
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(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4504049987333233/4503599627370496 binary64)) #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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (sqrt.f64 x))))))) (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 4503824807351865/2251799813685248 binary64)) #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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (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) 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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.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 4504049987333233/4503599627370496 binary64)) #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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (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 4503824807351865/2251799813685248 binary64)) #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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) #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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.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 4504049987333233/4503599627370496 binary64)) #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))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (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 4503824807351865/2251799813685248 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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.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 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (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 4503824807351865/2251799813685248 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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.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 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (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 4503824807351865/2251799813685248 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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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) x))) (+.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 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (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 5/2 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 (+ x 1)) #s(literal 1 binary64)) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (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))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))))
(if (<=.f64 y #s(literal 6000000000000000 binary64)) #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 z)) (sqrt (+ 1 y))) (sqrt (+ 1 x))) (+ (+ (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ z 1)) (sqrt (+ 1 y))) (+ (+ (sqrt z) (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))) #s(approx (- (+ (+ (* (sqrt (/ 1 t)) 1/2) (+ (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (sqrt (+ 1 x))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
Outputs
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soundness2.0s (8.3%)

Memory
5.4MiB live, 1 915.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199429670
1707228177
0817227195
0109920313
1375619098
0817618262
05524159
117363889
262323889
080303682
0138723032
1481621666
0817020745
077557
0127563
1647528
27198528
08042528
0101729
0158729
1839666
08417662
093682
0143679
1713666
27206666
08188666
02497
04397
120897
2216497
0921197
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 10 500 to 4 061 computations (61.3% saved)

preprocess278.0ms (1.1%)

Memory
-11.4MiB live, 313.0MiB allocated
Compiler

Compiled 10 828 to 972 computations (91% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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