Main:z from

Time bar (total: 26.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze270.0ms (1%)

Memory
5.8MiB live, 245.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
6.3%6.2%93.6%0.2%0%0%0%5
8.3%6.2%68.6%0.2%0%25%0%6
11.1%6.2%49.9%0.2%0%43.7%0%7
14.8%6.2%35.9%0.2%0%57.7%0%8
19.8%6.2%25.3%0.2%0%68.2%0%9
23.7%6.2%20.1%0.2%0%73.5%0%10
28.4%6.2%15.7%0.2%0%77.9%0%11
34.1%6.2%12%0.2%0%81.5%0%12
Compiler

Compiled 33 to 26 computations (21.2% saved)

sample10.5s (39.9%)

Memory
29.6MiB live, 10 503.4MiB allocated
Samples
4.1s7 523×1valid
3.9s15 902×0invalid
102.0ms733×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.2s
ival-sqrt: 2.8s (44.3% of total)
ival-add: 1.6s (25.7% of total)
ival-sub: 1.0s (16.7% of total)
adjust: 777.0ms (12.5% of total)
ival-true: 20.0ms (0.3% of total)
exact: 15.0ms (0.2% of total)
ival-assert: 10.0ms (0.2% of total)
Bogosity

explain432.0ms (1.6%)

Memory
-15.6MiB live, 715.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1350-0-(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
1270-1(1.7440755092527422e+249 42.05134919264791 1.0015424367881483e+293 3.790252197356249e+242)(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
1230-0-(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1160-0-(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
00-0-(sqrt.f64 x)
00-0-(+.f64 y #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-t
00-0-(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
00-0-(sqrt.f64 z)
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
00-0-(sqrt.f64 y)
00-0-(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
00-0-(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
00-0-y
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
00-0-z
00-0-(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
00-0-(+.f64 t #s(literal 1 binary64))
00-0-(+.f64 z #s(literal 1 binary64))
00-0-(sqrt.f64 t)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))cancellation301
-.f64(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))cancellation270
-.f64(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))cancellation250
-.f64(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))cancellation220
Confusion
Predicted +Predicted -
+471
-35173
Precision
0.573170731707317
Recall
0.9791666666666666
Confusion?
Predicted +Predicted MaybePredicted -
+4710
-350173
Precision?
0.5783132530120482
Recall?
1.0
Freqs
test
numberfreq
0174
166
211
34
41
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
199.0ms478×1valid
5.0ms34×0valid
Compiler

Compiled 315 to 76 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-sqrt: 55.0ms (38.4% of total)
ival-add: 41.0ms (28.6% of total)
adjust: 30.0ms (21% of total)
ival-sub: 17.0ms (11.9% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess262.0ms (1%)

Memory
-5.0MiB live, 306.4MiB allocated
Algorithm
1×egg-herbie
Rules
12 672×lower-fma.f64
12 672×lower-fma.f32
4 402×lower--.f32
4 394×lower--.f64
4 374×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073454
1257446
21131442
35923442
02431
04331
17231
218631
398931
4463731
5697731
0841631
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
Symmetry

(sort x y z t)

Compiler

Compiled 35 to 24 computations (31.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.0%
(+.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)))
Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify265.0ms (1%)

Memory
14.7MiB live, 364.6MiB allocated
Algorithm
1×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)))
Rules
12 672×lower-fma.f64
12 672×lower-fma.f32
4 402×lower--.f32
4 394×lower--.f64
4 374×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024138
043138
172138
2186138
3989138
44637138
56977138
08416138
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 t #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 t)

localize146.0ms (0.6%)

Memory
10.6MiB live, 174.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy3.4207176730372097
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy16.612261558552447
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy40.1678468961612
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.64657031646395
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
106.0ms241×1valid
2.0ms15×0valid
Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-add: 35.0ms (40.4% of total)
ival-sqrt: 29.0ms (33.5% of total)
adjust: 15.0ms (17.3% of total)
ival-sub: 8.0ms (9.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.1%)

Memory
-19.9MiB live, 54.4MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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))) (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 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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))) (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 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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))) (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 (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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))) (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 (- (+ 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))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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))) (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>) () ())) ())
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#s(alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) (taylor 0 x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) (taylor 0 x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sqrt (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (taylor inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) (taylor inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) (taylor inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (sqrt t)) (taylor 0 t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/2 t)) (sqrt t)) (taylor 0 t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) (taylor 0 t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) (taylor 0 t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sqrt (/ 1 t))) (taylor inf t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) (taylor inf t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) (taylor inf t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) (taylor inf t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (sqrt (/ 1 t))) (taylor -inf t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (taylor -inf t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (taylor -inf t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) (taylor -inf t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- 1 (sqrt z)) (taylor 0 z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/2 z)) (sqrt z)) (taylor 0 z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) (taylor 0 z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) (taylor 0 z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sqrt (/ 1 z))) (taylor inf z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) (taylor inf z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) (taylor inf z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) (taylor inf z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (sqrt (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (taylor -inf z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) (taylor -inf z) (#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- 1 (sqrt y)) (taylor 0 y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/2 y)) (sqrt y)) (taylor 0 y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) (taylor 0 y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) (taylor 0 y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) (taylor inf y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) (taylor inf y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) (taylor inf y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (sqrt (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (taylor -inf y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (taylor -inf y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) (taylor -inf y) (#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
Calls

39 calls:

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

simplify355.0ms (1.3%)

Memory
-6.2MiB live, 393.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 816×lower-+.f64
7 816×lower-+.f32
5 582×lower--.f64
5 582×lower--.f32
4 008×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite431.0ms (1.6%)

Memory
3.6MiB live, 602.8MiB allocated
Rules
4 982×lower-fma.f64
4 982×lower-fma.f32
3 788×lower-/.f64
3 788×lower-/.f32
3 666×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02497
04397
120897
2216497
0921197
Stop Event
1×iter limit
1×node limit
1×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
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
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(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 y (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(/.f64 (fma.f64 y (neg.f64 (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 y (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))

eval128.0ms (0.5%)

Memory
33.5MiB live, 185.7MiB allocated
Compiler

Compiled 33 294 to 2 292 computations (93.1% saved)

prune220.0ms (0.8%)

Memory
7.6MiB live, 274.5MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New52924553
Fresh000
Picked101
Done000
Total53024554
Accuracy
99.2%
Counts
554 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.7%
(fma.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
92.5%
(+.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (+.f64 #s(literal 1 binary64) z) z))) (*.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
92.4%
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶92.2%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶92.7%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
9.2%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (fma.f64 t #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
35.2%
(+.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)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
63.4%
(+.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))) #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 t #s(literal 1 binary64))) (sqrt.f64 t)))
71.1%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.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)))
91.2%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 x #s(literal 1/2 binary64) (-.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)))
6.1%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) (-.f64 (sqrt.f64 (+.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)))
▶90.3%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
27.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
10.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
71.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
35.0%
(+.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)))
31.8%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
48.2%
(+.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 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
46.4%
(+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
70.0%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
69.3%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (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 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
▶34.8%
#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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
▶35.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
Compiler

Compiled 2 076 to 1 148 computations (44.7% saved)

simplify674.0ms (2.6%)

Memory
-61.6MiB live, 333.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
cost-diff0
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff0
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
cost-diff0
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
cost-diff0
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
cost-diff0
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff0
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff0
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
cost-diff0
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
Rules
13 142×lower-fma.f32
13 140×lower-fma.f64
5 012×lower--.f32
4 998×lower--.f64
4 962×lower-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078831
0130823
1251795
2691795
33535795
45256795
57623795
08729795
Stop Event
1×iter limit
1×node limit
1×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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
#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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(-.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
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(-.f64 (sqrt.f64 (+.f64 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 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (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))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 t #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) t)
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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 t #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) t)
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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (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 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #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 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(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 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 t #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 t)

localize812.0ms (3.1%)

Memory
42.3MiB live, 436.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.4207176730372097
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy16.23916987065558
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
accuracy40.16784689616124
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.646570316463965
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy0.15234375
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
accuracy3.4207176730372097
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy4.096478679402132
#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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
accuracy37.61362084450356
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
accuracy4.466590335462186
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy16.612261558552454
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy40.16784689616124
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy57.646570316463965
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy0.05859375
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
accuracy0.0625
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
accuracy3.4001750811167484
#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 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
accuracy37.689455514896935
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
accuracy3.4207176730372097
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy16.612261558552454
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy39.24520175632319
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
accuracy57.646570316463965
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
602.0ms241×1valid
6.0ms15×0valid
Compiler

Compiled 763 to 58 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 514.0ms
ival-add: 259.0ms (50.4% of total)
ival-sqrt: 140.0ms (27.2% of total)
adjust: 67.0ms (13% of total)
ival-sub: 36.0ms (7% of total)
ival-div: 9.0ms (1.8% of total)
ival-mult: 3.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series108.0ms (0.4%)

Memory
-3.3MiB live, 268.2MiB allocated
Counts
27 → 756
Calls
Call 1
Inputs
#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (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 #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 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (patch (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (patch (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (patch (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())
#s(alt #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (patch #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt #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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (patch (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (patch (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (patch (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (patch (+.f64 (sqrt.f64 y) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf z) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) z) z) (patch (-.f64 (+.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt y))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt y))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (/ 1 t)) (taylor inf t) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) (taylor -inf t) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
Calls

189 calls:

TimeVariablePointExpression
9.0ms
y
@0
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t)))
8.0ms
t
@inf
(- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z)))
2.0ms
t
@0
(- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z)))
2.0ms
z
@inf
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
2.0ms
y
@inf
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))

simplify337.0ms (1.3%)

Memory
13.5MiB live, 567.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 116×lower-fma.f64
7 116×lower-fma.f32
6 670×lower-+.f64
6 670×lower-+.f32
3 634×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144021176
1497819944
2798719944
0803819067
Stop Event
1×iter limit
1×node limit
Counts
756 → 756
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt y)))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3))))))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))
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(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt y)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)))) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) y))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
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(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)
(* -1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/128 binary64) (/.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))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (neg.f64 x))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt y)
(sqrt.f64 y)
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 z) y)))
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 z) y)))
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 z) y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (sqrt.f64 z) y)))))
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (sqrt.f64 z) y)))))
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (sqrt.f64 z) y)))))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt z)
(sqrt.f64 z)
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z)))
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z)))
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (sqrt.f64 y) z)))))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (sqrt.f64 y) z)))))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (sqrt.f64 y) z)))))
(- 1 (sqrt z))
(-.f64 #s(literal 1 binary64) (sqrt.f64 z))
(- (+ 1 (* 1/2 z)) (sqrt z))
(-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z))
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
(-.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(* 1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) z)
(* -1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (neg.f64 z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) (neg.f64 z))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)
(* -1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/128 binary64) (/.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))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (neg.f64 x))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))

rewrite353.0ms (1.3%)

Memory
-13.8MiB live, 581.6MiB allocated
Rules
3 600×lower-fma.f32
3 598×lower-fma.f64
3 004×lower-*.f64
3 004×lower-*.f32
2 618×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078537
0130531
1685494
08154494
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 827
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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)))
#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 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.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 y) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
Outputs
#s(literal 1 binary64)
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 (+.f64 (-.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.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) t)) (sqrt.f64 t))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 (-.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 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (neg.f64 (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.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) z)) (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (sqrt.f64 t))
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 z))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.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) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 1 binary64) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 1 binary64) (+.f64 (+.f64 (-.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) t)) (sqrt.f64 t))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (+.f64 (+.f64 (-.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) t)) (sqrt.f64 t))))
(fma.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(fma.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (-.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 (-.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.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) t)) (sqrt.f64 t)))
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))) (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (*.f64 t (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))))
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (+.f64 (+.f64 (-.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) t)) (sqrt.f64 t))))
(fma.f64 (*.f64 (+.f64 (-.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 (-.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 #s(literal 1 binary64) (-.f64 (-.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(fma.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))) (-.f64 (+.f64 (-.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) z)) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.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) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))))
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eval319.0ms (1.2%)

Memory
25.2MiB live, 533.5MiB allocated
Compiler

Compiled 91 528 to 4 756 computations (94.8% saved)

prune376.0ms (1.4%)

Memory
-4.0MiB live, 644.4MiB allocated
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New1 818271 845
Fresh14519
Picked505
Done000
Total1 837321 869
Accuracy
99.7%
Counts
1 869 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
6.1%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) (-.f64 (sqrt.f64 (+.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)))
▶91.6%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
9.2%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 t))))
85.7%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
31.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
61.5%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
16.3%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
27.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶10.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
64.0%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
65.7%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
48.2%
(+.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 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
86.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
▶86.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
59.9%
#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 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
60.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
11.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))
2.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
35.8%
#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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
35.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
29.4%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y))))))
▶32.3%
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
57.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
▶2.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
35.8%
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))
10.2%
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
61.4%
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 x) (sqrt.f64 y))))))
63.1%
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
58.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
41.8%
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
Compiler

Compiled 1 930 to 1 280 computations (33.7% saved)

simplify269.0ms (1%)

Memory
17.5MiB live, 317.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
cost-diff0
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
cost-diff0
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff0
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
cost-diff0
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
cost-diff0
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
cost-diff0
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff0
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
cost-diff0
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Rules
13 862×lower-fma.f32
13 858×lower-fma.f64
5 012×lower-+.f32
4 976×lower-+.f64
3 350×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097863
0147863
1270859
2723859
33109859
45197859
56932859
08144859
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(-.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal -1/2 binary64) (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(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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (sqrt.f64 z) (sqrt.f64 x))
(sqrt.f64 z)
(sqrt.f64 x)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(sqrt.f64 z)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt.f64 x)
(sqrt.f64 y)
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.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)
Outputs
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 t #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) t)
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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal -1/2 binary64) (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(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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (sqrt.f64 z) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 z))
(sqrt.f64 z)
(sqrt.f64 x)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 z)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt.f64 x)
(sqrt.f64 y)
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z))))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.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))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 t #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 t)

localize573.0ms (2.2%)

Memory
-6.9MiB live, 642.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy16.612261558552447
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
accuracy40.1678468961612
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy56.74047016057333
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
accuracy57.646570316463986
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy0.18359375
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
accuracy3.4001750811167484
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
accuracy3.487124025654042
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
accuracy16.062729365404973
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
accuracy3.440248923479494
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
accuracy4.096478679402132
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
accuracy36.773563947046924
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
accuracy40.06793756955543
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
accuracy0
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
accuracy0.15234375
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
accuracy4.096478679402132
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
accuracy60.32552451121752
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
accuracy0.18359375
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
accuracy4.466590335462186
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy16.612261558552447
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy57.646570316463986
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
301.0ms241×1valid
6.0ms15×0valid
Compiler

Compiled 665 to 66 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-add: 81.0ms (35.9% of total)
adjust: 46.0ms (20.4% of total)
ival-sqrt: 43.0ms (19% of total)
ival-sub: 27.0ms (12% of total)
ival-div: 17.0ms (7.5% of total)
ival-mult: 12.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series82.0ms (0.3%)

Memory
16.7MiB live, 168.2MiB allocated
Counts
27 → 756
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (patch (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #<representation binary64>) () ())
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())
#s(alt #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (patch #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt #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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (patch #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (patch (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())
#s(alt #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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) (patch #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (patch (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (patch (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (patch (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (patch #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (patch (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (patch (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (patch (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
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Calls

189 calls:

TimeVariablePointExpression
1.0ms
x
@0
(- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x)))
1.0ms
x
@-inf
(+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y)))
0.0ms
z
@-inf
(/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))
0.0ms
x
@0
(- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))
0.0ms
x
@inf
(+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y)))

simplify401.0ms (1.5%)

Memory
-30.2MiB live, 531.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 972×lower-+.f64
6 972×lower-+.f32
6 554×lower-fma.f64
6 554×lower-fma.f32
3 314×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113821848
1384220673
2596520661
0812619766
Stop Event
1×iter limit
1×node limit
Counts
756 → 754
Calls
Call 1
Inputs
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(*.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x)))))
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(*.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x)))))
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(*.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x)))))
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 x (+.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 y)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 x (+.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 y)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 x (+.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 y)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ 1 (+ 1 (sqrt z)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))
(fma.f64 z (fma.f64 z (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(* 1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))) (* 1/8 (sqrt (/ 1 z)))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) z)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow z 7))) (* 1/32 (sqrt (pow z 7)))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (sqrt (/ 1 (pow z 3)))) (* 1/8 (sqrt (/ 1 z))))) z)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (pow.f64 z #s(literal 7 binary64)))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))))) z)
(* -1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (neg.f64 z))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow z 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow z 7)) (/ 1 (pow (sqrt -1) 6))))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))))) z))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (pow.f64 z #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (neg.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (neg.f64 z))
(- 1 (sqrt z))
(-.f64 #s(literal 1 binary64) (sqrt.f64 z))
(- (+ 1 (* 1/2 z)) (sqrt z))
(-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z))
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
(-.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(* 1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) z)
(* -1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (neg.f64 z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) (neg.f64 z))
(- 1 (sqrt y))
(-.f64 #s(literal 1 binary64) (sqrt.f64 y))
(- (+ 1 (* 1/2 y)) (sqrt y))
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 y))
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 y))
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 y))
(* 1/2 (sqrt (/ 1 y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))) y)
(* -1/2 (sqrt (/ 1 y)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) (neg.f64 y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))) (neg.f64 y))

rewrite601.0ms (2.3%)

Memory
-0.0MiB live, 334.0MiB allocated
Rules
4 308×lower-fma.f32
4 304×lower-fma.f64
3 378×lower-*.f32
3 376×lower-*.f64
2 944×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097670
0147672
1754631
08112631
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 597
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
Outputs
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (neg.f64 (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (sqrt.f64 t))
(-.f64 (/.f64 (*.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 1 binary64) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (fma.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (fma.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (*.f64 t (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(fma.f64 (*.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (*.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(fma.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
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(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (neg.f64 (*.f64 z (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))) (+.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 (fma.f64 z (+.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (fma.f64 z (+.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 z (+.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) z)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(/.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (+.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(/.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 z (+.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(/.f64 (*.f64 (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(/.f64 (*.f64 (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z)))) (neg.f64 (+.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (fma.f64 (*.f64 z (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (*.f64 z (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (*.f64 z (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (sqrt.f64 z))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 (*.f64 z (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (*.f64 z (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (fma.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 z (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (fma.f64 z (+.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 z (+.f64 #s(literal 1 binary64) z)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sqrt.f64 z) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)))) (-.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y)))
(+.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (*.f64 y (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (/.f64 y (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (+.f64 #s(literal 1 binary64) y) y)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))

eval742.0ms (2.8%)

Memory
16.3MiB live, 450.8MiB allocated
Compiler

Compiled 61 598 to 3 472 computations (94.4% saved)

prune648.0ms (2.5%)

Memory
-24.4MiB live, 658.2MiB allocated
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New1 444181 462
Fresh171027
Picked505
Done000
Total1 466281 494
Accuracy
99.8%
Counts
1 494 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(+.f64 (/.f64 (fma.f64 (*.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
6.1%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) (-.f64 (sqrt.f64 (+.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)))
▶87.0%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
9.2%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 t))))
85.7%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
31.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
10.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (/.f64 (fma.f64 x (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) #s(literal 1/2 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)))
11.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
10.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶65.7%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶70.4%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
27.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))))
34.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
63.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
84.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (*.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))))))
34.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (neg.f64 (sqrt.f64 x)))))
86.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
▶2.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
67.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
67.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
59.9%
#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 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
11.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))
29.4%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y))))))
31.6%
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))))
▶32.4%
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
35.8%
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))
41.8%
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
Compiler

Compiled 1 704 to 1 064 computations (37.6% saved)

simplify255.0ms (1%)

Memory
13.5MiB live, 401.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
cost-diff0
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))
cost-diff0
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
cost-diff0
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
cost-diff0
(-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
cost-diff0
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x))
cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
cost-diff0
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
cost-diff0
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
cost-diff0
(sqrt.f64 t)
cost-diff0
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))
cost-diff0
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))
cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
cost-diff0
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff0
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
cost-diff0
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
Rules
10 614×lower-fma.f32
10 612×lower-fma.f64
5 518×lower-+.f32
5 484×lower-+.f64
3 400×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102880
0153880
1291864
2771864
33407864
45792864
57892864
08027864
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal 1/2 binary64) (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)
t
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))
#s(literal -1/2 binary64)
(sqrt.f64 t)
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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (sqrt.f64 z) (sqrt.f64 x))
(sqrt.f64 z)
(sqrt.f64 x)
x
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(sqrt.f64 x)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(sqrt.f64 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)
Outputs
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal 1/2 binary64) (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)
t
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))
#s(literal -1/2 binary64)
(sqrt.f64 t)
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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (sqrt.f64 z) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 z))
(sqrt.f64 z)
(sqrt.f64 x)
x
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 z)))))
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 z)
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(sqrt.f64 x)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 t #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 t)

localize448.0ms (1.7%)

Memory
-15.1MiB live, 832.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
accuracy3.4207177752117577
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))
accuracy18.668938479728865
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
accuracy57.64657031646395
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy3.4001750811167484
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
accuracy3.420717775654042
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x))
accuracy14.01874400451387
(-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
accuracy40.1678468961612
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
accuracy4.096478679402132
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
accuracy4.121256041845762
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
accuracy36.773563947046924
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
accuracy40.06793756955543
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
accuracy0
(sqrt.f64 t)
accuracy0.28125
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))
accuracy4.096478679402132
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
accuracy60.32552451121752
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))
accuracy0.18359375
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
accuracy3.3449114597324483
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
accuracy4.466590335462186
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy16.612261558552447
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Samples
306.0ms241×1valid
6.0ms15×0valid
Compiler

Compiled 671 to 71 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
adjust: 65.0ms (29% of total)
ival-add: 55.0ms (24.5% of total)
ival-sqrt: 43.0ms (19.2% of total)
ival-div: 28.0ms (12.5% of total)
ival-sub: 27.0ms (12% of total)
ival-mult: 5.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series77.0ms (0.3%)

Memory
25.9MiB live, 100.2MiB allocated
Counts
27 → 780
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (patch (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #<representation binary64>) () ())
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())
#s(alt #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (patch #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))) (patch #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)) (patch (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())
#s(alt #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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) (patch #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (patch (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)) (patch (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (patch (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (patch (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (patch #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (patch (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (patch (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (patch #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (patch (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #<representation binary64>) () ())
Outputs
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #<representation binary64>) () ())) ())
Calls

195 calls:

TimeVariablePointExpression
1.0ms
t
@-inf
(/ -1/2 (sqrt t))
0.0ms
y
@-inf
(/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))
0.0ms
y
@inf
(/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))
0.0ms
x
@-inf
(+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y))))
0.0ms
x
@inf
(- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y))

simplify757.0ms (2.9%)

Memory
7.1MiB live, 310.6MiB allocated
Algorithm
1×egg-herbie
Rules
6 806×lower-fma.f64
6 806×lower-fma.f32
6 678×lower-+.f64
6 678×lower-+.f32
3 390×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150923342
1524822025
2797522025
0807121073
Stop Event
1×iter limit
1×node limit
Counts
780 → 780
Calls
Call 1
Inputs
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(* x (- (+ (* -1/2 (* (sqrt (/ 1 t)) (/ 1 x))) (* (/ 1 x) (sqrt (+ 1 z)))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt z)))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(- 1 (sqrt z))
(- (+ 1 (* 1/2 z)) (sqrt z))
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
(* 1/2 (sqrt (/ 1 z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)
(* -1/2 (sqrt (/ 1 z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))
(- 1 (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))
(* 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)
(* -1/2 (sqrt (/ 1 t)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))
(/ 1 (+ 1 (sqrt y)))
(+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))
(+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))
(+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))
(* 1/2 (sqrt (/ 1 y)))
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))) (* 1/8 (sqrt (/ 1 y)))) y)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow y 7))) (* 1/32 (sqrt (pow y 7)))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 y))))) y)
(* -1/2 (sqrt (/ 1 y)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y))
Outputs
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(- 1 (sqrt z))
(-.f64 #s(literal 1 binary64) (sqrt.f64 z))
(- (+ 1 (* 1/2 z)) (sqrt z))
(-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z))
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
(-.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(* 1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) z)
(* -1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (neg.f64 z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) (neg.f64 z))
(- 1 (sqrt t))
(-.f64 #s(literal 1 binary64) (sqrt.f64 t))
(- (+ 1 (* 1/2 t)) (sqrt t))
(-.f64 (fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 t))
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))
(-.f64 (fma.f64 t (fma.f64 t #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 t))
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))
(-.f64 (fma.f64 t (fma.f64 t (fma.f64 t #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 t))
(* 1/2 (sqrt (/ 1 t)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
(/.f64 (fma.f64 #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 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))) t)
(* -1/2 (sqrt (/ 1 t)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))) (neg.f64 t))
(/ 1 (+ 1 (sqrt y)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))
(fma.f64 y (fma.f64 y (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(* 1/2 (sqrt (/ 1 y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) y)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))) (* 1/8 (sqrt (/ 1 y)))) y)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) y)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow y 7))) (* 1/32 (sqrt (pow y 7)))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 y))))) y)
(/.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* -1/2 (sqrt (/ 1 y)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (neg.f64 y))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) (neg.f64 y))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y))
(/.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 (pow.f64 y #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64)))) (neg.f64 y))

rewrite279.0ms (1.1%)

Memory
12.9MiB live, 414.5MiB allocated
Rules
4 082×lower-fma.f32
4 080×lower-fma.f64
3 346×lower-*.f32
3 344×lower-*.f64
3 006×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102709
0153701
1806657
08868657
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 538
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
#s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.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) z)) (sqrt.f64 z)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
Outputs
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
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(-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))))
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(/.f64 (*.f64 (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 z (+.f64 #s(literal 1 binary64) z)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal -1/2 binary64)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))) (/.f64 (*.f64 t (sqrt.f64 t)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (/.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (*.f64 t (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (+.f64 #s(literal 1 binary64) t) t)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (*.f64 t (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (*.f64 t (sqrt.f64 t)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (pow.f64 (neg.f64 (sqrt.f64 t)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) t) (-.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 (sqrt.f64 t))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (neg.f64 (sqrt.f64 t))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (neg.f64 (sqrt.f64 t))))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (*.f64 t (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (neg.f64 (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) (/.f64 (*.f64 y (sqrt.f64 y)) (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))))
(fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) y)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)))) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (fma.f64 (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (+.f64 y y)))
(pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)))

eval456.0ms (1.7%)

Memory
-156.9MiB live, 473.0MiB allocated
Compiler

Compiled 55 466 to 3 734 computations (93.3% saved)

prune612.0ms (2.3%)

Memory
24.5MiB live, 497.4MiB allocated
Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New1 314201 334
Fresh81523
Picked415
Done000
Total1 326361 362
Accuracy
99.8%
Counts
1 362 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(+.f64 (/.f64 (fma.f64 (*.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
85.7%
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))))
6.1%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
9.2%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 t))))
61.6%
(+.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 (/ 1 (+ (sqrt (+ 1 z)) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
31.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
65.7%
(+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
10.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (/.f64 (fma.f64 x (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) #s(literal 1/2 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)))
10.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
65.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
27.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
64.1%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.1%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
15.6%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
65.1%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
48.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
40.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)))) (sqrt.f64 y)) (sqrt.f64 x)))
64.3%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (sqrt.f64 y)) (sqrt.f64 x)))
35.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (sqrt.f64 x)))
64.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
50.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
3.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
27.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))))
34.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
84.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (*.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))))))
34.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (neg.f64 (sqrt.f64 x)))))
86.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
✓2.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
67.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
11.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))
29.4%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y))))))
29.6%
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))))))
32.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))
31.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))))
32.5%
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
Compiler

Compiled 3 570 to 984 computations (72.4% saved)

regimes300.0ms (1.1%)

Memory
-6.9MiB live, 385.4MiB allocated
Counts
90 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))
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(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.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)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #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))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (fma.f64 t #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (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 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (-.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (/.f64 (fma.f64 x (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) #s(literal 1/2 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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (*.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) (-.f64 (sqrt.f64 (+.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(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(fma.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (+.f64 #s(literal 1 binary64) z) z))) (*.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

11 calls:

49.0ms
(+.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)))
28.0ms
z
28.0ms
y
27.0ms
t
26.0ms
x
Results
AccuracySegmentsBranch
97.5%2x
92.7%1y
92.7%1z
92.7%1t
97.5%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)))
97.5%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)))
97.5%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
97.5%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
92.7%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
92.7%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
92.7%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes117.0ms (0.4%)

Memory
1.7MiB live, 286.7MiB allocated
Counts
82 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
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(+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #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 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(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 (/ 1 (+ (sqrt (+ 1 z)) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (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 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.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)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #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))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (fma.f64 t #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (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 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (-.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (/.f64 (fma.f64 x (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) #s(literal 1/2 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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

5 calls:

24.0ms
x
23.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
21.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
20.0ms
(+.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)))
20.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
98.9%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
98.9%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)))
98.9%3(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
97.0%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.0%2x
Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes134.0ms (0.5%)

Memory
-49.0MiB live, 94.6MiB allocated
Counts
79 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(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 (/ 1 (+ (sqrt (+ 1 z)) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (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 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.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)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #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))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (fma.f64 t #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (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 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (-.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (/.f64 (fma.f64 x (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) #s(literal 1/2 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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

3 calls:

64.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
18.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
18.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
Results
AccuracySegmentsBranch
98.8%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)))
98.8%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
98.8%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 81 to 57 computations (29.6% saved)

regimes175.0ms (0.7%)

Memory
21.5MiB live, 135.9MiB allocated
Counts
74 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
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(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(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 (/ 1 (+ (sqrt (+ 1 z)) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (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 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.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)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #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))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (fma.f64 t #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 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) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (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 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (-.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 x #s(literal 1/2 binary64) (-.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)))
Calls

5 calls:

61.0ms
x
55.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
21.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
17.0ms
(+.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)))
16.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
96.2%2x
96.2%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
96.2%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)))
96.2%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
96.2%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes147.0ms (0.6%)

Memory
-2.8MiB live, 116.6MiB 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (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 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#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 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
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(+.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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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) z)) (sqrt.f64 z)) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
(+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #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 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(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 (/ 1 (+ (sqrt (+ 1 z)) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (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)))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

5 calls:

81.0ms
x
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)))
16.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
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)))
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
95.7%2x
97.6%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
97.6%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
97.5%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)))
95.7%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes54.0ms (0.2%)

Memory
25.9MiB live, 62.9MiB allocated
Counts
53 → 4
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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (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 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#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 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.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))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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) z)) (sqrt.f64 z)) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
(+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #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 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

3 calls:

25.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
13.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
12.0ms
(+.f64 (-.f64 (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
94.0%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)))
98.8%4(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
99.1%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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 81 to 57 computations (29.6% saved)

regimes108.0ms (0.4%)

Memory
-31.7MiB live, 86.1MiB allocated
Counts
51 → 4
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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (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 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#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 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.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))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (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) z)) (sqrt.f64 z)) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (/.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

4 calls:

37.0ms
x
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)))
12.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
11.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.8%4(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
91.8%2x
91.8%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.8%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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes29.0ms (0.1%)

Memory
25.3MiB live, 61.6MiB allocated
Counts
47 → 4
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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (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 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#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 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.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))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (-.f64 (fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

2 calls:

14.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
98.7%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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
98.7%4(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes29.0ms (0.1%)

Memory
9.1MiB live, 51.5MiB allocated
Counts
44 → 4
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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (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 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#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 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.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))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))))
Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

2 calls:

14.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
11.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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
98.3%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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
98.3%4(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes41.0ms (0.2%)

Memory
-25.7MiB live, 48.2MiB allocated
Counts
43 → 4
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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (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 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#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 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.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))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

2 calls:

25.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
10.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
98.2%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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
98.2%4(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes130.0ms (0.5%)

Memory
-4.1MiB live, 158.2MiB allocated
Counts
40 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (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 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#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 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.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))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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)))
Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
Calls

9 calls:

16.0ms
t
16.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.0ms
y
11.0ms
z
10.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
93.5%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)))
86.7%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
86.7%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
89.0%2y
86.7%1t
88.5%2z
89.0%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
93.5%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)))
93.5%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 129 to 96 computations (25.6% saved)

regimes83.0ms (0.3%)

Memory
31.3MiB live, 115.5MiB allocated
Counts
38 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (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 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
#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 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
Calls

6 calls:

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)))
11.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
11.0ms
x
11.0ms
y
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)))
Results
AccuracySegmentsBranch
89.0%2y
88.5%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
88.5%2x
89.0%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)))
89.0%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)))
89.0%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)))
Compiler

Compiled 102 to 74 computations (27.5% saved)

regimes61.0ms (0.2%)

Memory
-31.1MiB live, 124.6MiB allocated
Counts
31 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
Calls

6 calls:

9.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
9.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
9.0ms
y
9.0ms
z
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
88.5%2z
88.5%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)))
88.5%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
88.5%2y
88.5%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)))
88.5%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 102 to 74 computations (27.5% saved)

regimes175.0ms (0.7%)

Memory
13.7MiB live, 169.1MiB allocated
Counts
29 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
Calls

11 calls:

70.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
31.0ms
t
10.0ms
x
10.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
8.0ms
z
Results
AccuracySegmentsBranch
74.5%2t
67.7%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
87.2%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
86.9%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
86.9%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
86.9%2y
75.3%2x
87.2%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)))
87.2%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)))
70.5%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
87.2%2z
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes67.0ms (0.3%)

Memory
37.0MiB live, 148.1MiB allocated
Counts
19 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
Calls

11 calls:

9.0ms
t
7.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
7.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
6.0ms
z
6.0ms
y
Results
AccuracySegmentsBranch
64.9%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
64.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
64.9%1t
64.9%1x
64.9%1y
64.9%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)))
64.9%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
64.9%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)))
64.9%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)))
64.9%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
64.9%1z
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes57.0ms (0.2%)

Memory
-24.6MiB live, 98.3MiB allocated
Counts
12 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
Calls

11 calls:

7.0ms
y
7.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.0ms
z
4.0ms
x
4.0ms
t
Results
AccuracySegmentsBranch
63.1%1z
64.9%2y
63.1%1t
64.8%2x
64.9%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
64.8%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
63.1%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
64.9%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
64.9%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
64.9%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
63.1%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes42.0ms (0.2%)

Memory
15.0MiB live, 97.4MiB allocated
Counts
9 → 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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) #s(approx (* -1/2 (sqrt (/ 1 t))) (*.f64 #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))) #s(approx (- (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (*.f64 #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))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #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 #s(approx (+ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (neg.f64 (sqrt.f64 x)))))
Calls

11 calls:

8.0ms
x
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)))
3.0ms
y
3.0ms
t
3.0ms
z
Results
AccuracySegmentsBranch
34.2%1z
34.2%1t
34.2%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
34.2%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
34.2%1x
34.2%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
34.2%1y
34.2%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)))
34.2%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)))
34.2%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)))
34.2%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes100.0ms (0.4%)

Memory
-22.9MiB live, 55.0MiB allocated
Accuracy

Total -19.6b remaining (-45.4%)

Threshold costs -19.6b (-45.4%)

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

11 calls:

77.0ms
(+.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)))
3.0ms
x
2.0ms
y
2.0ms
z
2.0ms
t
Results
AccuracySegmentsBranch
32.5%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
32.5%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)))
32.5%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
32.5%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
32.5%1t
32.5%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)))
32.5%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
32.5%1y
32.5%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)))
32.5%1z
32.5%1x
Compiler

Compiled 145 to 109 computations (24.8% saved)

bsearch59.0ms (0.2%)

Memory
19.9MiB live, 102.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
53.0ms
42.05134919264791
1912869969.2159047
Samples
42.0ms137×1valid
1.0ms7×0valid
Compiler

Compiled 722 to 481 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sqrt: 15.0ms (40.9% of total)
ival-add: 9.0ms (24.6% of total)
adjust: 8.0ms (21.8% of total)
ival-sub: 5.0ms (13.6% 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
2.3MiB live, 2.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.9999999999997975
1.9999999999999645
0.0ms
1.1432137398514897e-5
0.07665153085712806
Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.1771887839369812
1.7474649470930317
0.0ms
1.1432137398514897e-5
0.07665153085712806
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.07665153085712806
0.9705934410849978
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.9999999999999645
1.9999999999999807
0.0ms
1.1432137398514897e-5
0.07665153085712806
Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch4.0ms (0%)

Memory
-36.9MiB live, 1.7MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
3.000000069849193
3.3778200896825465
0.0ms
1.999999804846416
1.9999999636061445
3.0ms
1.1432137398514897e-5
0.07665153085712806
Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.9999999550612224
2.999999985335274
0.0ms
1.1771887839369812
1.7474649470930317
0.0ms
1.1432137398514897e-5
0.07665153085712806
Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.9999999550612224
2.999999985335274
0.0ms
1.0000000074505806
1.000099701691397
0.0ms
1.1432137398514897e-5
0.07665153085712806
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.9999999550612224
2.999999985335274
0.0ms
1.0000000074505806
1.000099701691397
0.0ms
1.1432137398514897e-5
0.07665153085712806
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.9999999550612224
2.999999985335274
0.0ms
1.0000000074505806
1.000099701691397
0.0ms
1.1432137398514897e-5
0.07665153085712806
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000074505806
1.000099701691397
0.0ms
1.1432137398514897e-5
0.07665153085712806
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000000074505806
1.000099701691397
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch27.0ms (0.1%)

Memory
-3.4MiB live, 34.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
21.0ms
9.040072855244559e+39
1.2054212641734864e+41
Samples
19.0ms64×1valid
Compiler

Compiled 242 to 167 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sqrt: 6.0ms (37.7% of total)
ival-add: 4.0ms (25.1% of total)
adjust: 4.0ms (25.1% of total)
ival-sub: 2.0ms (12.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch23.0ms (0.1%)

Memory
24.3MiB live, 24.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
214294675138908220.0
367553682161297700.0
Samples
17.0ms58×1valid
1.0ms6×0valid
Compiler

Compiled 234 to 163 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sqrt: 6.0ms (40% of total)
adjust: 4.0ms (26.7% of total)
ival-add: 3.0ms (20% of total)
ival-sub: 2.0ms (13.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
7.450580596923828e-9
Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify63.0ms (0.2%)

Memory
-14.0MiB live, 24.5MiB allocated
Algorithm
1×egg-herbie
Rules
146×+-commutative_binary64
52×sub-neg_binary64
22×*-commutative_binary64
16×neg-sub0_binary64
16×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02633609
13503609
23863609
34073609
44173609
54183609
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 1900000000 binary64)) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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 5902958103587057/295147905179352825856 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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 9007199254740091/4503599627370496 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 5902958103587057/295147905179352825856 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 3/2 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 3602879701896397/36028797018963968 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 x #s(literal 1/2 binary64) (-.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))))
(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 5902958103587057/295147905179352825856 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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 4503599627370451/2251799813685248 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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 9007198804381029/4503599627370496 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 3602879701896397/1125899906842624 binary64)) (+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))))
(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 5902958103587057/295147905179352825856 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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 3/2 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 6755399350983751/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 5902958103587057/295147905179352825856 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4503824807351865/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 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 6755399350983751/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 5902958103587057/295147905179352825856 binary64)) (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 4503824807351865/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 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 6755399350983751/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 5902958103587057/295147905179352825856 binary64)) (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 4503824807351865/4503599627370496 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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))) (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 6755399350983751/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 5902958103587057/295147905179352825856 binary64)) (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (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 4503824807351865/4503599627370496 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(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 4503824807351865/4503599627370496 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (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))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(if (<=.f64 z #s(literal 80000000000000002430288227416029335126016 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))))
(if (<=.f64 z #s(literal 220000000000000000 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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (sqrt (+ x 1)) (+ (- (sqrt (+ 1 z)) (sqrt z)) (sqrt (+ 1 y)))) (sqrt y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 0 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
Outputs
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) (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 y)) (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z)))) (- (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt y) (sqrt z))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (+ (* -1/2 (sqrt (/ 1 t))) (sqrt (+ 1 z))) (+ (sqrt z) (sqrt x))) (neg.f64 (sqrt.f64 x))))))

soundness1.8s (7%)

Memory
2.0MiB live, 1 607.5MiB allocated
Rules
7 816×lower-+.f64
7 816×lower-+.f32
7 116×lower-fma.f64
7 116×lower-fma.f32
6 972×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097670
0147672
1754631
08112631
0150923342
1524822025
2797522025
0807121073
078537
0130531
1685494
08154494
02497
04397
120897
2216497
0921197
0144021176
1497819944
2798719944
0803819067
0113821848
1384220673
2596520661
0812619766
05524159
117363889
262323889
080303682
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 7 238 to 2 685 computations (62.9% saved)

preprocess227.0ms (0.9%)

Memory
23.1MiB live, 292.2MiB allocated
Compiler

Compiled 5 210 to 750 computations (85.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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