Main:z from

Time bar (total: 26.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze257.0ms (1%)

Memory
-8.1MiB live, 261.8MiB 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)

sample8.9s (33.8%)

Memory
94.8MiB live, 11 001.4MiB allocated
Samples
3.6s7 520×1valid
3.2s15 937×0invalid
295.0ms736×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.7s
ival-sqrt: 2.5s (42.8% of total)
ival-add: 1.7s (30% of total)
ival-sub: 793.0ms (13.8% of total)
adjust: 723.0ms (12.6% of total)
ival-true: 19.0ms (0.3% of total)
exact: 16.0ms (0.3% of total)
ival-assert: 10.0ms (0.2% of total)
Bogosity

explain502.0ms (1.9%)

Memory
-17.6MiB live, 810.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-0-(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
1320-0-(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1240-0-(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
1220-0-(-.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))cancellation451
-.f64(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))cancellation380
-.f64(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))cancellation290
-.f64(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))cancellation250
Confusion
Predicted +Predicted -
+620
-43151
Precision
0.5904761904761905
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6200
-431150
Precision?
0.5849056603773585
Recall?
1.0
Freqs
test
numberfreq
0151
180
219
35
41
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
253.0ms470×1valid
6.0ms42×0valid
Compiler

Compiled 315 to 76 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-sqrt: 108.0ms (51.9% of total)
ival-add: 48.0ms (23% of total)
adjust: 30.0ms (14.4% of total)
ival-sub: 22.0ms (10.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess956.0ms (3.6%)

Memory
11.7MiB live, 337.3MiB 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
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶89.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (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)

simplify227.0ms (0.9%)

Memory
25.5MiB live, 298.0MiB 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)

localize194.0ms (0.7%)

Memory
-18.3MiB live, 308.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy4.016422934281202
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy15.88152942440004
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy42.26707220404622
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy56.60929862713765
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
103.0ms235×1valid
4.0ms21×0valid
Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-sqrt: 32.0ms (37% of total)
ival-sub: 23.0ms (26.6% of total)
ival-add: 17.0ms (19.6% of total)
adjust: 14.0ms (16.2% 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
-11.4MiB live, 63.6MiB 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>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) (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 (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 (/ (+ (* -1/8 (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>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 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)))) (+ (* 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>) () ())) ())
#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 (/ (+ (* -1/8 (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
z
@inf
(+ (+ (+ (- (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)))

simplify390.0ms (1.5%)

Memory
32.2MiB live, 381.0MiB 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))))
(- (+ (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))))
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(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
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(-.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))

rewrite425.0ms (1.6%)

Memory
-15.7MiB live, 545.4MiB 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))))

eval247.0ms (0.9%)

Memory
14.1MiB live, 171.8MiB allocated
Compiler

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

prune186.0ms (0.7%)

Memory
-38.5MiB live, 215.3MiB allocated
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New52726553
Fresh000
Picked101
Done000
Total52826554
Accuracy
98.8%
Counts
554 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.6%
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
75.6%
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (+.f64 (neg.f64 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
75.2%
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (neg.f64 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶91.9%
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) 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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
90.6%
(+.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)))
▶91.0%
(+.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)))
89.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
90.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #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)))
89.7%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
83.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (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)))))
64.9%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #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)))
69.3%
(+.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)))
88.5%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (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)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
88.9%
(+.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)))
7.1%
(+.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)))
▶88.2%
(+.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))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶27.2%
(+.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)))
11.4%
(+.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)))
32.5%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
51.3%
(+.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)))
50.5%
(+.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)))
67.6%
(+.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)))
66.8%
(+.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)))
55.4%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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)))))
▶33.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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))))))
12.7%
#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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
Compiler

Compiled 1 972 to 1 266 computations (35.8% saved)

simplify287.0ms (1.1%)

Memory
48.5MiB live, 387.7MiB 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
(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)))
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) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
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) 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)))
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) 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)))
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-diff192
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y)))
cost-diff320
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))
cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
cost-diff384
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
Rules
11 422×lower-fma.f32
11 418×lower-fma.f64
4 672×lower-+.f32
4 626×lower-+.f64
3 184×lower--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079941
0133967
1264927
2744867
33311863
45781863
57348863
08145863
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) 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 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 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) 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 z #s(literal 1 binary64))) (sqrt.f64 z)))
(/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) 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))))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y)))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 x)
(-.f64 (+.f64 #s(literal 1 binary64) y) 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 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 (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)
(+.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 #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)))
#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))))
(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)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) 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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))))
(+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) 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 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) 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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.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))))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 y)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 x)
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
#s(literal 1 binary64)
(*.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) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(-.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 (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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (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))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (+.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))
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 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 z) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #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))) (-.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 (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)
(+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.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) y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (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 (-.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) y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
#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))))
#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 x #s(literal 1 binary64))) (sqrt.f64 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)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(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 (+.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)
(+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (+.f64 (-.f64 (sqrt.f64 x) (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)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (+.f64 (sqrt.f64 x) (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(-.f64 (sqrt.f64 (+.f64 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 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 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))
(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)

localize689.0ms (2.6%)

Memory
-10.9MiB live, 755.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.016422934281202
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy13.566097906506814
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
accuracy42.26707220404608
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy56.60929862713772
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy4.016422934281202
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy42.26707220404608
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy42.64919268843727
#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))))
accuracy56.60929862713772
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy4.962293042429539
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy15.88152942440004
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy42.26707220404608
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy56.60929862713772
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy0.046875
(+.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))
accuracy4.284962018816076
#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))))))
accuracy38.63812661395823
(+.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)))))
accuracy3.3983604141266985
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy13.566097906506814
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
accuracy42.26707220404608
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy56.60929862713772
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
527.0ms235×1valid
8.0ms21×0valid
Compiler

Compiled 862 to 59 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 227.0ms
ival-sqrt: 76.0ms (33.5% of total)
ival-add: 55.0ms (24.2% of total)
adjust: 39.0ms (17.2% of total)
ival-mult: 26.0ms (11.5% of total)
ival-sub: 20.0ms (8.8% of total)
ival-div: 9.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.2%)

Memory
14.2MiB live, 130.3MiB allocated
Counts
25 → 636
Calls
Call 1
Inputs
#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) (patch (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) 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 (+.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))) (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) 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))) #<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) 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))) (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) 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))) #<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) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (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) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<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 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 y) (sqrt.f64 z)) (patch (+.f64 (sqrt.f64 y) (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>) () ())
#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 (-.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>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) y) y) (patch (-.f64 (+.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (sqrt x) (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) (taylor 0 x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (taylor 0 x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) (taylor inf x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) (taylor inf x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor inf y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor inf y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor inf y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor inf y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor -inf y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor -inf y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor -inf y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (sqrt (+ 1 x))) (taylor -inf y) (#s(alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (patch (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) (patch (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* 1/2 x))))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) (patch (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) (patch (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) (patch (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) (patch (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y)))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) (patch (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y))))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) (patch (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
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#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 #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 (- 1 (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 (* 1/2 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 (* -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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
Calls

159 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(sqrt (+ 1 y))
2.0ms
y
@0
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms
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)))
1.0ms
y
@-inf
(+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x)))
0.0ms
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)))

simplify391.0ms (1.5%)

Memory
-20.6MiB live, 371.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 674×lower-fma.f64
5 674×lower-fma.f32
5 596×lower-+.f64
5 596×lower-+.f32
4 592×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106016498
1356015479
2786815479
0807814774
Stop Event
1×iter limit
1×node limit
Counts
636 → 636
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
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(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
(+ (sqrt x) (sqrt (+ 1 x)))
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(* 2 (sqrt x))
(* x (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y))))))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y)))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y))))))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt (+ 1 y))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 x)))))
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(+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y)))))))
(+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))))
(* 2 (sqrt y))
(* y (+ (* 2 (sqrt (/ 1 y))) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x))))))
(* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 2 (sqrt (/ 1 y))) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x)))))))
(* y (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 2 (sqrt (/ 1 y))) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x))))))))
(* -2 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt (+ 1 x))) y)) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y))))) y)) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) y)) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
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(- (+ 1 (+ (sqrt (+ 1 x)) (+ (* z (+ 1/2 (* -1/8 z))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z)))
(- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (sqrt x))
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(- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt x))
(- (+ 1 (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (sqrt x))
(- (+ 1 (+ (* 1/2 x) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt x))
(- (+ 1 (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt x))
(- (+ 1 (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt x))
(/ 1 (+ (sqrt y) (sqrt (+ 1 y))))
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))
(/ 1 (+ (sqrt y) (sqrt (+ 1 y))))
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(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))
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(- (+ (sqrt (+ 1 x)) (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))) (sqrt x))
(- (+ (sqrt (+ 1 x)) (+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))) (sqrt x))
(- (sqrt (+ 1 x)) (sqrt x))
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(- (+ (sqrt (+ 1 x)) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (* 1/8 (sqrt (/ 1 (pow y 3))))))
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(- (+ (sqrt (+ 1 x)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y))) (sqrt x))
(- 1 (sqrt t))
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(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))
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(* 1/2 (sqrt (/ 1 t)))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
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(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))
(- 1 (sqrt z))
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(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
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(/ (+ (* -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)
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(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
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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
#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 x))
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(+ 1 (+ (sqrt x) (* 1/2 x)))
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(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
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(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
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(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
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(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(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)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (sqrt.f64 y) z))) (neg.f64 z))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (sqrt.f64 y) z))) (neg.f64 z))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (sqrt.f64 y) z))) (neg.f64 z))
(- 1 (sqrt y))
(-.f64 #s(literal 1 binary64) (sqrt.f64 y))
(- (+ 1 (* 1/2 y)) (sqrt y))
(-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y))
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))
(-.f64 (fma.f64 y (fma.f64 #s(literal -1/8 binary64) y #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 #s(literal 1/16 binary64) y #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 #s(literal 1/2 binary64) (sqrt.f64 y))) 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 #s(literal 1/2 binary64) (sqrt.f64 y)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(/.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 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 #s(literal 1/2 binary64) (sqrt.f64 y))) (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 1/16 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 #s(literal 1/2 binary64) (sqrt.f64 y)))) (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 #s(literal 1/2 binary64) (sqrt.f64 y))))) (neg.f64 y))
(- 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))
(- 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))

rewrite469.0ms (1.8%)

Memory
16.8MiB live, 343.4MiB allocated
Rules
3 486×lower-fma.f32
3 482×lower-fma.f64
2 996×lower-*.f32
2 994×lower-*.f64
2 518×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075487
0125475
1643453
27204453
08046451
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 676
Calls
Call 1
Inputs
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) 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)))
(+.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 #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)))
#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))))
(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 (+.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 z #s(literal 1 binary64))) (sqrt.f64 z))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
(+.f64 x (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (-.f64 x x))
(+.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 x))
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) y)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(/.f64 (*.f64 (*.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.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 (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 y (+.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (fma.f64 y (+.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 (*.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 y (+.f64 #s(literal 1 binary64) y)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.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 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 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 y) (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x))) (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))))
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x))) (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))))
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))

eval368.0ms (1.4%)

Memory
14.9MiB live, 356.4MiB allocated
Compiler

Compiled 80 340 to 4 574 computations (94.3% saved)

prune607.0ms (2.3%)

Memory
-7.2MiB live, 633.8MiB allocated
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New1 530291 559
Fresh21021
Picked505
Done000
Total1 556291 585
Accuracy
100.0%
Counts
1 585 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶89.2%
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))))
88.3%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.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)))
89.2%
(+.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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶88.4%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
82.1%
(+.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)))))
28.9%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
63.3%
(+.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))) #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)))
69.3%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
16.5%
(+.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
32.5%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
28.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
28.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
27.4%
(+.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)))) #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)))
8.1%
(+.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)) #s(approx (- (sqrt (+ 1 x)) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
25.8%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
12.4%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.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)))
8.2%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
66.4%
(+.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
66.9%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.0%
#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) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
▶39.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
▶32.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
25.9%
#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) #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))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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))))))
45.6%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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 (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))))))
30.9%
#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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z)))))
▶63.8%
#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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
54.0%
#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)) (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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
Compiler

Compiled 1 932 to 1 234 computations (36.1% saved)

simplify361.0ms (1.4%)

Memory
-5.4MiB live, 323.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
cost-diff0
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) t) 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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))))))
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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
cost-diff0
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
cost-diff0
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
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 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff0
(+.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))))
cost-diff0
#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)))))
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)) (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))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
cost-diff0
(+.f64 #s(literal 1 binary64) z)
cost-diff192
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))))
cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
Rules
12 028×lower-fma.f32
12 026×lower-fma.f64
5 232×lower-+.f32
5 188×lower-+.f64
2 710×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090841
0142861
1273820
2681820
32854820
45152820
57731820
08357820
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))))
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.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)
(sqrt.f64 (+.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)))
(+.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))
(sqrt.f64 x)
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 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.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)) (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 (+ 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)))))
(+.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))))
(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)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt.f64 x)
(sqrt.f64 y)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (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))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
y
(sqrt.f64 z)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
(+.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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))))))
(+.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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))))
(sqrt.f64 x)
(/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 z y)
(-.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 z)
(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))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 #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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) t) t)
(+.f64 #s(literal 1 binary64) t)
t
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(sqrt.f64 t)
Outputs
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.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)
(sqrt.f64 (+.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)))
(+.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 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (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))
(sqrt.f64 x)
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 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.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)) (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) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
#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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt 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) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt.f64 x)
(sqrt.f64 y)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.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 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 z)) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 z)) (sqrt.f64 y))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 z)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (-.f64 z y) (-.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) x)) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(+.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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(+.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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (-.f64 z y) (-.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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))))
(sqrt.f64 x)
(/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 z y)
(-.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 z)
(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))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (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 #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)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) t) t)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) t)
t
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(sqrt.f64 t)

localize533.0ms (2%)

Memory
13.3MiB live, 1 001.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.962293042429539
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy15.88152942440004
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
accuracy42.26707220404622
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy56.912768558555044
(-.f64 (+.f64 #s(literal 1 binary64) t) t)
accuracy0.046875
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
accuracy0.453125
(/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
accuracy4.284962018816076
#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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
accuracy38.63812661395823
(+.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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))))))
accuracy0.0625
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
accuracy4.284962018816076
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
accuracy14.23308987105864
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
accuracy35.42534138203164
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
accuracy4.043771771755518
(+.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))))
accuracy4.284962018816076
#s(approx (+ (+ (+ (- (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))))))
accuracy14.995487873353493
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
accuracy17.124330326432485
#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)))))
accuracy4.962293042429539
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy15.88152942440004
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
accuracy40.69438746952033
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
accuracy56.60929862713765
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
Samples
361.0ms235×1valid
8.0ms21×0valid
Compiler

Compiled 696 to 65 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 289.0ms
ival-add: 109.0ms (37.7% of total)
adjust: 83.0ms (28.7% of total)
ival-sqrt: 45.0ms (15.6% of total)
ival-sub: 38.0ms (13.2% of total)
ival-div: 12.0ms (4.2% of total)
ival-mult: 3.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series131.0ms (0.5%)

Memory
-30.4MiB live, 102.7MiB allocated
Counts
28 → 732
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 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) (patch (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<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 #s(approx (+ (+ (+ (- (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)))))) (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)) (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)))))) #<representation binary64>) () ())
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())
#s(alt (+.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)))) (patch (+.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)))) #<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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (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 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #<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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))))))) (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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))))))) #<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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))) (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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))) #<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 #s(literal 1 binary64) t) t) (patch (-.f64 (+.f64 #s(literal 1 binary64) t) t) #<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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #<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>) () ())
#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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (patch (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (patch (+.f64 (sqrt.f64 y) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (patch (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) #<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 (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 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) (patch (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (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)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) (patch (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (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)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) (patch (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (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)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) (patch (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) (patch (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) (patch (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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)))) #<representation binary64>) () ())) ())
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Calls

183 calls:

TimeVariablePointExpression
14.0ms
z
@0
(+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z)))
2.0ms
y
@0
(+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (sqrt t))))
1.0ms
y
@-inf
(+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y))))))
1.0ms
z
@-inf
(+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y))))))
1.0ms
y
@inf
(+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y))))))

simplify376.0ms (1.4%)

Memory
37.5MiB live, 500.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 054×lower-fma.f64
8 054×lower-fma.f32
7 084×lower-+.f64
7 084×lower-+.f32
4 214×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153519535
1521218172
0836317411
Stop Event
1×iter limit
1×node limit
Counts
732 → 730
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(- (+ (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))))
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(- (+ (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 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ 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)))
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(- 1 (sqrt t))
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(- (+ 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)))
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(* -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))
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(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(* -1/2 (sqrt (/ 1 y)))
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(/ (+ (* -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)
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(* -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))
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(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))
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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)
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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))))
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(+ (* -1 (/ y (- (sqrt z) (sqrt y)))) (/ z (- (sqrt z) (sqrt y))))
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 z) (sqrt.f64 y))))
(+ (* -1 (/ y (- (sqrt z) (sqrt y)))) (/ z (- (sqrt z) (sqrt y))))
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 z) (sqrt.f64 y))))
(sqrt z)
(sqrt.f64 z)
(- (+ (sqrt z) (* -1 (* y (sqrt (/ 1 z))))) (* -1 (sqrt y)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 y))
(- (+ (sqrt z) (+ (* -1 (* y (sqrt (/ 1 z)))) (* (sqrt (/ y (pow z 3))) (- (* -1 (* y (sqrt z))) (* -1 (* (sqrt y) z)))))) (* -1 (sqrt y)))
(+.f64 (+.f64 (sqrt.f64 z) (-.f64 (*.f64 (sqrt.f64 (/.f64 y (*.f64 z (*.f64 z z)))) (fma.f64 y (neg.f64 (sqrt.f64 z)) (*.f64 z (sqrt.f64 y)))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 y))
(- (+ (sqrt z) (+ (* -1 (* y (sqrt (/ 1 z)))) (/ (* y (- (* -1 (* y (sqrt z))) (* -1 (* (sqrt y) z)))) (pow z 2)))) (+ (* -1 (sqrt y)) (* -1 (* (sqrt (/ y (pow z 3))) (- (* -1 (* y (sqrt z))) (* -1 (* (sqrt y) z)))))))
(+.f64 (sqrt.f64 z) (-.f64 (-.f64 (/.f64 (*.f64 y (fma.f64 y (neg.f64 (sqrt.f64 z)) (*.f64 z (sqrt.f64 y)))) (*.f64 z z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 y (*.f64 z (*.f64 z z)))) (fma.f64 y (neg.f64 (sqrt.f64 z)) (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)))))
(* -1 (sqrt z))
(neg.f64 (sqrt.f64 z))
(- (+ (* -1 (sqrt z)) (* y (sqrt (/ 1 z)))) (* (sqrt y) (/ 1 (pow (sqrt -1) 2))))
(+.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(+ (* -1 (sqrt z)) (* -1 (/ (+ (* -1 (- (* y (sqrt z)) (* (sqrt y) (/ z (pow (sqrt -1) 2))))) (* (sqrt (/ y z)) (- (* y (sqrt z)) (* (sqrt y) (/ z (pow (sqrt -1) 2)))))) z)))
(-.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (*.f64 (fma.f64 y (sqrt.f64 z) (/.f64 (*.f64 z (sqrt.f64 y)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (/.f64 y z)) #s(literal -1 binary64))) z))
(+ (* -1 (sqrt z)) (* -1 (/ (+ (* -1 (- (* y (sqrt z)) (* (sqrt y) (/ z (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1 (* (sqrt (* y z)) (- (* y (sqrt z)) (* (sqrt y) (/ z (pow (sqrt -1) 2)))))) (* -1 (/ (* y (- (* y (sqrt z)) (* (sqrt y) (/ z (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) z))) z)))
(-.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (-.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) (/.f64 (*.f64 z (sqrt.f64 y)) #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 y (fma.f64 y (sqrt.f64 z) (/.f64 (*.f64 z (sqrt.f64 y)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (sqrt.f64 z) (/.f64 (*.f64 z (sqrt.f64 y)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 y z)))) z)) z))
(/ z (- (sqrt z) (sqrt y)))
(/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(+ (* -1 (/ y (- (sqrt z) (sqrt y)))) (/ z (- (sqrt z) (sqrt y))))
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 z) (sqrt.f64 y))))
(+ (* -1 (/ y (- (sqrt z) (sqrt y)))) (/ z (- (sqrt z) (sqrt y))))
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 z) (sqrt.f64 y))))
(+ (* -1 (/ y (- (sqrt z) (sqrt y)))) (/ z (- (sqrt z) (sqrt y))))
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 z) (sqrt.f64 y))))
(sqrt y)
(sqrt.f64 y)
(- (+ (sqrt y) (* -1 (* (sqrt (/ 1 y)) z))) (* -1 (sqrt z)))
(+.f64 (sqrt.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 z) (sqrt.f64 z)))
(- (+ (sqrt y) (+ (* -1 (* (sqrt (/ 1 y)) z)) (* (sqrt (/ z (pow y 3))) (- (* -1 (* (sqrt y) z)) (* -1 (* y (sqrt z))))))) (* -1 (sqrt z)))
(+.f64 (sqrt.f64 y) (+.f64 (fma.f64 (sqrt.f64 (/.f64 z (*.f64 y (*.f64 y y)))) (fma.f64 z (neg.f64 (sqrt.f64 y)) (*.f64 y (sqrt.f64 z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) (sqrt.f64 z)))
(- (+ (sqrt y) (+ (* -1 (* (sqrt (/ 1 y)) z)) (/ (* z (- (* -1 (* (sqrt y) z)) (* -1 (* y (sqrt z))))) (pow y 2)))) (+ (* -1 (sqrt z)) (* -1 (* (sqrt (/ z (pow y 3))) (- (* -1 (* (sqrt y) z)) (* -1 (* y (sqrt z))))))))
(-.f64 (+.f64 (sqrt.f64 y) (-.f64 (/.f64 (*.f64 z (fma.f64 z (neg.f64 (sqrt.f64 y)) (*.f64 y (sqrt.f64 z)))) (*.f64 y y)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 z (*.f64 y (*.f64 y y)))) (fma.f64 z (neg.f64 (sqrt.f64 y)) (*.f64 y (sqrt.f64 z))) (sqrt.f64 z))))
(* -1 (sqrt y))
(neg.f64 (sqrt.f64 y))
(+ (* -1 (sqrt y)) (* -1 (/ (- (* -1 (* (sqrt y) z)) (* -1 (* (/ y (pow (sqrt -1) 2)) (sqrt z)))) y)))
(-.f64 (/.f64 (fma.f64 z (sqrt.f64 y) (/.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) y) (sqrt.f64 y))
(+ (* -1 (sqrt y)) (* -1 (/ (- (+ (* -1 (* (sqrt y) z)) (* -1 (* (sqrt (/ z y)) (- (* -1 (* (sqrt y) z)) (* -1 (* (/ y (pow (sqrt -1) 2)) (sqrt z))))))) (* -1 (* (/ y (pow (sqrt -1) 2)) (sqrt z)))) y)))
(-.f64 (/.f64 (fma.f64 z (neg.f64 (sqrt.f64 y)) (fma.f64 (sqrt.f64 (/.f64 z y)) (fma.f64 z (sqrt.f64 y) (/.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) (/.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1 binary64)))) (neg.f64 y)) (sqrt.f64 y))
(+ (* -1 (sqrt y)) (* -1 (/ (- (+ (* -1 (* (sqrt y) z)) (* -1 (/ (- (/ (* z (- (* -1 (* (sqrt y) z)) (* -1 (* (/ y (pow (sqrt -1) 2)) (sqrt z))))) (pow (sqrt -1) 2)) (* -1 (* (sqrt (* y z)) (- (* -1 (* (sqrt y) z)) (* -1 (* (/ y (pow (sqrt -1) 2)) (sqrt z))))))) y))) (* -1 (* (/ y (pow (sqrt -1) 2)) (sqrt z)))) y)))
(-.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 z (sqrt.f64 y) (/.f64 (fma.f64 z (/.f64 (fma.f64 (sqrt.f64 y) (neg.f64 z) (/.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 y z)) (fma.f64 (sqrt.f64 y) (neg.f64 z) (/.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1 binary64))))) y))) (/.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1 binary64))) (neg.f64 y)) (sqrt.f64 y))
(- 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.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 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64) (*.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) z)) #s(literal -1/8 binary64) (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))

rewrite556.0ms (2.1%)

Memory
-27.3MiB live, 419.0MiB allocated
Rules
4 106×lower-fma.f32
4 104×lower-fma.f64
3 176×lower-*.f64
3 176×lower-*.f32
2 966×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090556
0142545
1785521
08160521
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 806
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))))
(+.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (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))) #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 (+ 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)))))
(+.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))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (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))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
(+.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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))))))
(+.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 #s(literal 1 binary64) t) 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 (-.f64 (+.f64 #s(literal 1 binary64) t) 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 (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)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.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
#s(literal 1 binary64)
(+.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) t)) (sqrt.f64 t)) (-.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 (-.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))))
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(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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 0 binary64)))
(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 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(fma.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sqrt.f64 z) (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sqrt.f64 z) (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.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 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(fma.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.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 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(neg.f64 (/.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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 z (sqrt.f64 z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 z (+.f64 #s(literal 1 binary64) 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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (*.f64 #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))) #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 z (+.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 #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))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 z (+.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.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 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.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 (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.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))) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) (+.f64 z (+.f64 #s(literal 1 binary64) 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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))
(*.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 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sqrt.f64 z) (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.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 (+.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 #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 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 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 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(/.f64 (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 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))

eval353.0ms (1.3%)

Memory
38.7MiB live, 538.8MiB allocated
Compiler

Compiled 78 268 to 4 319 computations (94.5% saved)

prune479.0ms (1.8%)

Memory
-15.4MiB live, 668.2MiB allocated
Pruning

38 alts after pruning (38 fresh and 0 done)

PrunedKeptTotal
New1 719241 743
Fresh101424
Picked505
Done000
Total1 734381 772
Accuracy
100.0%
Counts
1 772 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.1%
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))) #s(approx (- (sqrt (+ 1 t)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
66.9%
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
▶88.3%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.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)))
82.1%
(+.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)))))
28.9%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
63.3%
(+.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))) #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)))
▶66.1%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
16.5%
(+.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
28.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
28.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
27.4%
(+.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)))) #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)))
8.1%
(+.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)) #s(approx (- (sqrt (+ 1 x)) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
25.8%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
12.4%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.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)))
▶8.2%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
66.4%
(+.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
66.9%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
25.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
25.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
39.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
50.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
54.0%
#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 (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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)))))))
31.8%
#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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
42.4%
#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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))))))
7.7%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 z)))
▶7.9%
#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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)))
51.0%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y)) (sqrt.f64 x))))
45.0%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
30.2%
#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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
▶26.8%
#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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))))
22.7%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
65.4%
#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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
63.8%
#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(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
63.7%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
26.8%
#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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
31.8%
#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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
83.6%
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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)))))
Compiler

Compiled 2 198 to 1 398 computations (36.4% saved)

simplify300.0ms (1.1%)

Memory
13.0MiB live, 389.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.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))))
cost-diff0
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff0
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) t) t)
cost-diff0
#s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
cost-diff0
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
cost-diff0
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
cost-diff0
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))
cost-diff0
#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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))))
cost-diff0
(sqrt.f64 y)
cost-diff0
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y))
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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)))
cost-diff0
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))))
cost-diff0
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.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)))
cost-diff128
(*.f64 y (+.f64 #s(literal 1 binary64) y))
Rules
10 488×lower-fma.f32
10 486×lower-fma.f64
5 732×lower-+.f32
5 698×lower-+.f64
3 136×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101988
0153984
1290976
2699976
32788976
45599976
57895976
08009959
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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(-.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) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 y))
(sqrt.f64 y)
(+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(+.f64 y (+.f64 #s(literal 1 binary64) y))
(sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) y))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y))
(sqrt.f64 y)
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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))))
#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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
y
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) 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))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #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))))
#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
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 y)
y
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) t) t)
(+.f64 #s(literal 1 binary64) t)
t
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 #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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 #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 y) (sqrt.f64 (fma.f64 y y 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)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (/.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 y) (sqrt.f64 (fma.f64 y y 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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.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 y) (sqrt.f64 (fma.f64 y y 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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.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 y y) (sqrt.f64 (fma.f64 y y y)))))
(-.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) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 y))
(sqrt.f64 y)
(+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 y y) (sqrt.f64 (fma.f64 y y y))))
(+.f64 y (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (+.f64 y y))
(sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (fma.f64 y y y))
(*.f64 y (+.f64 #s(literal 1 binary64) y))
(fma.f64 y y 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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y))
(sqrt.f64 y)
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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 x #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))))
#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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (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))
#s(literal 1 binary64)
x
#s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
y
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
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)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) 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))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (+.f64 (-.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) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.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))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(+.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))))
#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
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 y)
y
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(-.f64 (+.f64 #s(literal 1 binary64) t) t)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) t)
t
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(sqrt.f64 t)

localize523.0ms (2%)

Memory
-3.6MiB live, 741.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy4.962293042429539
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy20.386175807259036
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
accuracy42.267072204046215
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy56.912768558555044
(-.f64 (+.f64 #s(literal 1 binary64) t) t)
accuracy20.145028372795164
#s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
accuracy42.267072204046215
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy42.64919268843727
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
accuracy56.609298627137605
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
accuracy4.043771771755518
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))
accuracy4.284962018816076
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))))
accuracy17.124330326432485
#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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))))
accuracy43.18399488635432
#s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))
accuracy0
(sqrt.f64 y)
accuracy4.284962018816076
#s(approx (+ (+ (+ (- (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)))
accuracy58.96948332333416
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y))
accuracy4.962293042429539
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy15.808799160476076
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))
accuracy42.267072204046215
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
accuracy56.609298627137605
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
378.0ms235×1valid
15.0ms21×0valid
Compiler

Compiled 728 to 73 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 330.0ms
ival-add: 121.0ms (36.6% of total)
adjust: 57.0ms (17.3% of total)
ival-sqrt: 54.0ms (16.3% of total)
ival-mult: 45.0ms (13.6% of total)
ival-sub: 38.0ms (11.5% of total)
ival-div: 12.0ms (3.6% of total)
ival-neg: 2.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series114.0ms (0.4%)

Memory
-13.8MiB live, 144.8MiB allocated
Counts
25 → 672
Calls
Call 1
Inputs
#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (+.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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.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))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.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))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (patch (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y))) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)) (patch #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (sqrt.f64 y) (patch (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))) #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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))))) #<representation binary64>) () ())
#s(alt #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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))) (patch #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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))) (patch (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (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 (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (patch (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (patch #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (patch #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 1 binary64) t) t) (patch (-.f64 (+.f64 #s(literal 1 binary64) t) t) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (patch (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (+.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)))) (patch (+.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)))) #<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 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (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 (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())
Outputs
#s(alt y (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (taylor -inf x) (#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 (* -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 #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 (* -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 #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 (- 1 (+ (sqrt x) (sqrt y))) (taylor 0 y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/2 y)) (+ (sqrt x) (sqrt y))) (taylor 0 y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (+ (sqrt x) (sqrt y))) (taylor 0 y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (+ (sqrt x) (sqrt y))) (taylor 0 y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt x)) (taylor inf y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (sqrt (/ 1 y))) (sqrt x)) (taylor inf y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) (taylor inf y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) (taylor inf y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt x)) (taylor -inf y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (sqrt (/ 1 y))) (sqrt x)) (taylor -inf y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (sqrt x)) (taylor -inf y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<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)) (sqrt x)) (taylor -inf y) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (taylor 0 x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (taylor 0 x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (taylor 0 x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (taylor 0 x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt x)) (taylor inf x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (/ 1 x) (sqrt (+ 1 y))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))) (taylor inf x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (/ 1 x) (sqrt (+ 1 y))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))) (taylor inf x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (/ 1 x) (sqrt (+ 1 y))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))) (taylor inf x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (sqrt (+ 1 y)) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (sqrt (+ 1 y)) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (sqrt (+ 1 y)) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (sqrt y)) (taylor 0 y) (#s(alt #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/2 y)) (sqrt y)) (taylor 0 y) (#s(alt #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sqrt (/ 1 y))) (taylor inf y) (#s(alt #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) (taylor inf y) (#s(alt #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (sqrt (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #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 #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())) ())
Calls

168 calls:

TimeVariablePointExpression
26.0ms
y
@-inf
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* (+ 1 y) (sqrt (+ 1 y))) (* y (sqrt y))) (+ (+ y (+ 1 y)) (sqrt (* y (+ 1 y)))))) (- (sqrt (+ z 1)) (sqrt z)))
4.0ms
y
@-inf
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* (+ 1 y) (sqrt (+ 1 y))) (* y (sqrt y))) (+ (+ y (+ 1 y)) (sqrt (* y (+ 1 y)))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
4.0ms
y
@-inf
(- (* (+ 1 y) (sqrt (+ 1 y))) (* y (sqrt y)))
4.0ms
y
@inf
(* y (+ 1 y))
2.0ms
y
@0
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* (+ 1 y) (sqrt (+ 1 y))) (* y (sqrt y))) (+ (+ y (+ 1 y)) (sqrt (* y (+ 1 y)))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))

simplify386.0ms (1.5%)

Memory
32.5MiB live, 587.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 180×lower-+.f64
7 180×lower-+.f32
5 680×lower-fma.f64
5 680×lower-fma.f32
3 692×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161623646
1546721270
0829620185
Stop Event
1×iter limit
1×node limit
Counts
672 → 671
Calls
Call 1
Inputs
y
(* y (+ 1 y))
(* y (+ 1 y))
(* y (+ 1 y))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))
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1
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(* -1 (* x (- (* -1 (/ (- (sqrt (+ 1 y)) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
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(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
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Outputs
y
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
(pow y 2)
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(* (pow y 2) (+ 1 (/ 1 y)))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(pow y 2)
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(* (pow y 2) (+ 1 (/ 1 y)))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))
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#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 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (fma.f64 x #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) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (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) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt y) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (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 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))))) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt y) (sqrt z)))
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt y) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(- (+ (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)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt y) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (neg.f64 (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 z) (sqrt.f64 y)))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (fma.f64 y #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) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt x) (sqrt z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt x) (sqrt z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 y)))) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* -1/8 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.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)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt x) (sqrt y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (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) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))))) (+ (sqrt x) (sqrt y)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (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) t)) (sqrt.f64 t)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(- (+ (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))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))))) (+ (sqrt x) (sqrt y)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (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) t)) (sqrt.f64 t))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt t) (sqrt (+ 1 t)))))) (+ (sqrt x) (sqrt y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt t) (sqrt (+ 1 t))))))) (+ (sqrt x) (sqrt y)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (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) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
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(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 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
#s(literal 1 binary64)
(+ 1 (* y (- 3/2 (sqrt y))))
(fma.f64 y (-.f64 #s(literal 3/2 binary64) (sqrt.f64 y)) #s(literal 1 binary64))
(+ 1 (* y (- (+ 3/2 (* 3/8 y)) (sqrt y))))
(fma.f64 y (-.f64 (fma.f64 y #s(literal 3/8 binary64) #s(literal 3/2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64))
(+ 1 (* y (- (+ 3/2 (* y (+ 3/8 (* -1/16 y)))) (sqrt y))))
(fma.f64 y (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/16 binary64) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64))
(* 3/2 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 3/2 binary64))
(+ (* 3/2 (sqrt y)) (* 3/2 (sqrt (/ 1 y))))
(*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- 1 (* 9/4 y)))) (+ (* 3/2 (sqrt y)) (* 3/2 (sqrt (/ 1 y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal -9/4 binary64)))) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+ (* -9/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- 1 (* 9/4 y)))) (+ (* 3/2 (sqrt y)) (* 3/2 (sqrt (/ 1 y))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -9/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal -9/4 binary64)))) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(* (pow y 2) (- (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 y y) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(* (pow y 2) (- (+ (* 3/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(* (pow y 2) (- (+ (* 3/2 (sqrt (/ 1 (pow y 3)))) (+ (* 3/2 (sqrt (/ 1 (pow y 5)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) (* -1 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -3/2 (sqrt y)) (* -1/2 (* (sqrt (/ 1 y)) (- 1 (* -9/4 (/ y (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* 3/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) (* -1 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 y y) (-.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -9/4 binary64)) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 y) #s(literal -3/2 binary64))) (*.f64 y (*.f64 y y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(- 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) (neg.f64 (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) (neg.f64 (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) (neg.f64 (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))
(- 1 (+ (sqrt x) (sqrt y)))
(-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(- (+ 1 (* 1/2 y)) (+ (sqrt x) (sqrt y)))
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (+ (sqrt x) (sqrt y)))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (+ (sqrt x) (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)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(- (* 1/2 (sqrt (/ 1 y))) (sqrt x))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))
(- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))) (sqrt 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)) (neg.f64 (sqrt.f64 x))))
(- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.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)))) (sqrt.f64 x)))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(- (* -1/2 (sqrt (/ 1 y))) (sqrt x))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))
(- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (sqrt x))
(-.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (neg.f64 y)) (sqrt.f64 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 (/.f64 (fma.f64 #s(literal -1/8 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 y)))) (neg.f64 y)) (sqrt.f64 x))
(- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(* x (- (* (/ 1 x) (sqrt (+ 1 y))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(*.f64 x (-.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))
(* x (- (* (/ 1 x) (sqrt (+ 1 y))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(*.f64 x (-.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))
(* x (- (* (/ 1 x) (sqrt (+ 1 y))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(*.f64 x (-.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) 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)) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (sqrt (+ 1 y)) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (sqrt (+ 1 y)) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(- 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 #s(literal 1/2 binary64) (sqrt.f64 y))) 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 #s(literal 1/2 binary64) (sqrt.f64 y)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(/.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 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) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (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) (neg.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 y)))) (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) (neg.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 y))))) (neg.f64 y))

rewrite381.0ms (1.4%)

Memory
3.3MiB live, 387.1MiB allocated
Rules
4 694×lower-fma.f32
4 692×lower-fma.f64
3 782×lower-*.f32
3 774×lower-*.f64
3 394×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101736
0153736
1824633
08801632
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 397
Calls
Call 1
Inputs
(*.f64 y (+.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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y))
(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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))))
#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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(-.f64 (+.f64 #s(literal 1 binary64) t) t)
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) 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))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))
Outputs
(+.f64 y (*.f64 y y))
(+.f64 (*.f64 y y) y)
(sqrt.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y y)))
(fma.f64 y y y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y y))
(/.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 y (*.f64 y y)))
(/.f64 (*.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))
(/.f64 (*.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) y) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (fma.f64 y y y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y y y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1/2 binary64))
(*.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y y))))
(*.f64 (sqrt.f64 (fma.f64 y y y)) (sqrt.f64 (fma.f64 y y y)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 y y y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (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 y #s(literal 1 binary64))) (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 #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) 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 y #s(literal 1 binary64))) (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 y #s(literal 1 binary64))) (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 y #s(literal 1 binary64))) (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 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 (-.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 (-.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 y #s(literal 1 binary64))) (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 y #s(literal 1 binary64))) (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 y #s(literal 1 binary64))) (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 (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 (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 y #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (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 #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))) (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 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (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 y #s(literal 1 binary64))) (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 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (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 (+.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))) (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) 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 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.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 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.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 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 (neg.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (+.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y 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 (fma.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (+.f64 #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 y #s(literal 1 binary64))) (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 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 y #s(literal 1 binary64))) (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 y #s(literal 1 binary64))) (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 y #s(literal 1 binary64))) (sqrt.f64 y)) (*.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (fma.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 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (-.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 (-.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 (+.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 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) 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 #s(literal 1 binary64) t)) (sqrt.f64 t))))
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(-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 y)))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y))))))) (/.f64 (*.f64 (*.f64 y (sqrt.f64 y)) (*.f64 y (*.f64 y y))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y))))))))
(-.f64 (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y)))))
(fma.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 y (sqrt.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 y))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3/2 binary64)) (neg.f64 (*.f64 y (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y)))))) (-.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 y (sqrt.f64 y)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y))) (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 y (sqrt.f64 y)) (*.f64 y (*.f64 y y)))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y)))))))
(/.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 y (sqrt.f64 y)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y)))))
(/.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (pow.f64 (neg.f64 (*.f64 y (sqrt.f64 y))) #s(literal 3 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (neg.f64 (*.f64 y (sqrt.f64 y))) (neg.f64 (*.f64 y (sqrt.f64 y)))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (sqrt.f64 y)))))))
(/.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 y (sqrt.f64 y))) (neg.f64 (*.f64 y (sqrt.f64 y))))) (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (sqrt.f64 y)))))
(*.f64 (+.f64 y (+.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y y y)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(*.f64 (-.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 y (sqrt.f64 y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y))))))))
(*.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y (sqrt.f64 y)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))

eval598.0ms (2.3%)

Memory
10.5MiB live, 298.1MiB allocated
Compiler

Compiled 60 253 to 3 443 computations (94.3% saved)

prune904.0ms (3.4%)

Memory
-42.7MiB live, 614.3MiB allocated
Pruning

41 alts after pruning (40 fresh and 1 done)

PrunedKeptTotal
New1 196131 209
Fresh62733
Picked415
Done000
Total1 206411 247
Accuracy
100.0%
Counts
1 247 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.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))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
83.1%
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))) #s(approx (- (sqrt (+ 1 t)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
8.2%
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
88.3%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (fma.f64 y y y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
68.3%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(approx (- (* (+ 1 y) (sqrt (+ 1 y))) (* y (sqrt y))) (fma.f64 y (-.f64 #s(literal 3/2 binary64) (sqrt.f64 y)) #s(literal 1 binary64))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.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)))
28.9%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
63.3%
(+.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))) #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)))
66.5%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(approx (- (+ 1 t) t) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
32.5%
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
29.0%
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
28.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
28.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
27.4%
(+.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)))) #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)))
8.1%
(+.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)) #s(approx (- (sqrt (+ 1 x)) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
25.8%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
12.4%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.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)))
8.2%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))
66.4%
(+.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
66.9%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
25.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
25.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
39.2%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
50.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
54.0%
#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 (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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)))))))
31.8%
#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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
26.8%
#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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 x))))))
42.4%
#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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))))))
7.7%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 z)))
✓7.9%
#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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)))
51.0%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y)) (sqrt.f64 x))))
45.0%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
30.2%
#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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
22.7%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
65.4%
#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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
26.0%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))))
63.7%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
25.3%
#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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))))
51.2%
#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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
31.8%
#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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
83.6%
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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)))))
Compiler

Compiled 3 809 to 1 129 computations (70.4% saved)

regimes544.0ms (2.1%)

Memory
21.8MiB live, 541.1MiB allocated
Counts
93 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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))))))
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(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(approx (- (* (+ 1 y) (sqrt (+ 1 y))) (* y (sqrt y))) (fma.f64 y (-.f64 #s(literal 3/2 binary64) (sqrt.f64 y)) #s(literal 1 binary64))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.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)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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)) #s(approx (- (sqrt (+ 1 x)) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #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 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (fma.f64 y y y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (neg.f64 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (+.f64 (neg.f64 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 (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 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (+.f64 #s(literal 1 binary64) y) 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 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))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(approx (- (sqrt (+ 1 x)) (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 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 (+.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(approx (- (+ 1 t) t) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Calls

11 calls:

158.0ms
y
137.0ms
x
60.0ms
z
27.0ms
t
24.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Results
AccuracySegmentsBranch
97.2%2x
91.9%1y
93.4%2z
91.9%1t
99.7%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
99.7%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)))
97.2%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)))
97.2%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
91.9%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
93.4%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
91.9%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes205.0ms (0.8%)

Memory
-13.2MiB live, 68.2MiB allocated
Counts
84 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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))))))
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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))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))) #s(approx (- (sqrt (+ 1 t)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))))
(+.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(approx (- (* (+ 1 y) (sqrt (+ 1 y))) (* y (sqrt y))) (fma.f64 y (-.f64 #s(literal 3/2 binary64) (sqrt.f64 y)) #s(literal 1 binary64))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y (+.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)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.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)))
(+.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(approx (- (+ 1 t) t) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Calls

2 calls:

101.0ms
(+.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)))
98.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
99.2%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
99.2%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes459.0ms (1.7%)

Memory
-3.4MiB live, 194.7MiB allocated
Counts
76 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
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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))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))) #s(approx (- (sqrt (+ 1 t)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))))
Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.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)))
(+.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)))) #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)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))))
Calls

5 calls:

110.0ms
x
107.0ms
(+.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)))
98.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
92.0ms
(+.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)))
46.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
Results
AccuracySegmentsBranch
97.9%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)))
96.0%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
96.0%2x
97.9%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)))
97.9%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)))
Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes278.0ms (1.1%)

Memory
-8.7MiB live, 151.9MiB allocated
Counts
75 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#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 (-.f64 z y) (-.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(approx (- (+ 1 t) t) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
(+.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 (+.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))) (-.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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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)))
#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) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.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))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.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 (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)))) #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 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (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)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #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))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.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))) #s(approx (- (sqrt (+ 1 t)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.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)))
(+.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)))) #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))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

3 calls:

104.0ms
(+.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)))
104.0ms
(+.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)))
40.0ms
(+.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
97.9%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)))
97.9%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)))
97.9%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)))
Compiler

Compiled 81 to 57 computations (29.6% saved)

regimes112.0ms (0.4%)

Memory
37.0MiB live, 158.0MiB allocated
Counts
73 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
(+.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 (+.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))) (-.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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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)))
#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) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.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))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.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 (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)))) #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 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (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)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 #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))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.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)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Calls

3 calls:

42.0ms
(+.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)))
40.0ms
(+.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)))
24.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
Results
AccuracySegmentsBranch
97.7%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)))
97.8%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
97.8%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 81 to 57 computations (29.6% saved)

regimes185.0ms (0.7%)

Memory
5.2MiB live, 439.4MiB allocated
Counts
61 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 y)) (sqrt.f64 x))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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)))
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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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#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 (-.f64 z y) (-.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(approx (- (+ 1 t) t) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
(+.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 (+.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))) (-.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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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)))
#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) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.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))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Calls

11 calls:

19.0ms
y
18.0ms
t
18.0ms
z
18.0ms
x
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)))
Results
AccuracySegmentsBranch
91.9%2y
88.9%1t
91.9%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
88.9%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
93.4%3z
91.8%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
88.9%1x
88.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
91.9%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)))
92.0%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)))
92.0%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 145 to 109 computations (24.8% saved)

regimes104.0ms (0.4%)

Memory
-31.3MiB live, 205.2MiB allocated
Counts
59 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#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 (-.f64 z y) (-.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(approx (- (+ 1 t) t) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
(+.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 (+.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))) (-.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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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)))
#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) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
Outputs
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(approx (- (+ 1 t) t) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

6 calls:

18.0ms
y
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)))
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
z
15.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Results
AccuracySegmentsBranch
93.4%3z
91.4%2y
91.4%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)))
91.4%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
93.3%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
93.3%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 102 to 74 computations (27.5% saved)

regimes56.0ms (0.2%)

Memory
-0.9MiB live, 119.1MiB allocated
Counts
48 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#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 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
Outputs
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

4 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)))
13.0ms
z
12.0ms
(-.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
93.0%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
93.0%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
91.0%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
93.0%3z
Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes57.0ms (0.2%)

Memory
35.1MiB live, 110.1MiB allocated
Counts
46 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 (+.f64 #s(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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

4 calls:

16.0ms
y
14.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
13.0ms
z
10.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
Results
AccuracySegmentsBranch
91.1%2y
91.1%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
91.1%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
93.0%3z
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes42.0ms (0.2%)

Memory
-6.1MiB live, 115.0MiB allocated
Counts
44 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
#s(approx (+ (* (- (+ 1 z) z) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ 1 t)) (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 (+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Calls

3 calls:

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)))
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
z
Results
AccuracySegmentsBranch
92.9%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)))
92.9%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)))
91.5%3z
Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes64.0ms (0.2%)

Memory
-15.1MiB live, 143.3MiB allocated
Counts
43 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (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 (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))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

5 calls:

14.0ms
y
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)))
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)))
10.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Results
AccuracySegmentsBranch
89.6%2y
89.6%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
89.6%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
92.6%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)))
92.6%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)))
Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes85.0ms (0.3%)

Memory
18.7MiB live, 146.4MiB allocated
Counts
42 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (neg.f64 (sqrt.f64 x))))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (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)) (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 (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))))))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Calls

7 calls:

17.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
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 t #s(literal 1 binary64))) (sqrt.f64 t))
11.0ms
t
11.0ms
x
Results
AccuracySegmentsBranch
76.0%3t
72.0%2(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
65.4%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
67.6%2x
88.6%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
91.6%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)))
91.6%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)))
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes39.0ms (0.1%)

Memory
-16.7MiB live, 58.5MiB allocated
Counts
41 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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))))))
(+.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)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Calls

3 calls:

14.0ms
z
10.0ms
(+.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
90.2%3z
91.4%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.4%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes26.0ms (0.1%)

Memory
-6.6MiB live, 36.3MiB 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

2 calls:

13.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
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
91.3%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.3%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes81.0ms (0.3%)

Memory
24.6MiB live, 96.6MiB allocated
Counts
39 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #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)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (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)) (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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (/.f64 z (-.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 #s(approx (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.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 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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)))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (*.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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))))))
Calls

7 calls:

16.0ms
y
15.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.0ms
z
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)))
9.0ms
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
Results
AccuracySegmentsBranch
83.5%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
85.1%3z
74.3%5y
65.4%1(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
65.4%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
86.3%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
86.3%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 113 to 83 computations (26.5% saved)

regimes34.0ms (0.1%)

Memory
4.1MiB live, 40.9MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (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))) (- (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (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))) (- (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 (/ (- z y) (- (sqrt z) (sqrt y))) (neg.f64 (sqrt.f64 z)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
Calls

4 calls:

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)))
7.0ms
z
6.0ms
(+.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
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
81.9%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
81.9%2z
84.7%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)))
84.7%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 78 to 56 computations (28.2% saved)

regimes20.0ms (0.1%)

Memory
-24.5MiB live, 19.8MiB allocated
Counts
21 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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))))))
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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) #s(literal 1 binary64)) (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))))))
Calls

2 calls:

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)))
5.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
84.7%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)))
84.7%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes12.0ms (0%)

Memory
18.2MiB live, 18.2MiB allocated
Counts
20 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.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))) #s(approx (+ (+ (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (sqrt (+ 1 z))) (sqrt (+ 1 y))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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)))))))
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) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
Calls

2 calls:

5.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
5.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
84.7%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)))
84.7%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes67.0ms (0.3%)

Memory
7.3MiB live, 80.9MiB allocated
Counts
18 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 y)) (sqrt.f64 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (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)))))
#s(approx (+ (+ (+ (- (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)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (- (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (-.f64 (+.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))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
Calls

11 calls:

11.0ms
x
10.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
5.0ms
z
5.0ms
t
5.0ms
y
Results
AccuracySegmentsBranch
66.6%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
63.8%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
66.6%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
63.8%1x
66.6%2y
63.8%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
63.8%1t
63.8%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
63.8%1z
66.6%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)))
66.6%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 145 to 109 computations (24.8% saved)

regimes23.0ms (0.1%)

Memory
-10.0MiB live, 27.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
Calls

5 calls:

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)))
4.0ms
y
3.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
3.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
3.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Results
AccuracySegmentsBranch
65.8%2y
65.8%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
65.8%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)))
65.8%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
65.8%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes36.0ms (0.1%)

Memory
1.1MiB live, 46.0MiB allocated
Counts
7 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
Calls

11 calls:

9.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.0ms
y
3.0ms
x
3.0ms
z
3.0ms
t
Results
AccuracySegmentsBranch
63.7%1z
63.7%1t
63.7%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
63.7%1x
63.7%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
63.7%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
65.3%2y
63.7%1(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
65.3%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
63.7%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)))
63.7%1(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes17.0ms (0.1%)

Memory
-18.7MiB live, 18.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
Calls

5 calls:

3.0ms
y
2.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
2.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
2.0ms
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Results
AccuracySegmentsBranch
63.7%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)))
63.7%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
63.7%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
63.7%1y
63.7%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Compiler

Compiled 73 to 55 computations (24.7% saved)

regimes22.0ms (0.1%)

Memory
36.3MiB live, 36.3MiB allocated
Counts
4 → 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (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) (/ (- z y) (- (sqrt z) (sqrt 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)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x)))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
Calls

11 calls:

2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
t
2.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
31.8%1t
31.8%1y
31.8%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
31.8%1x
31.8%1z
31.8%1(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
31.8%1(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
31.8%1(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
31.8%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
31.8%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
31.8%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes21.0ms (0.1%)

Memory
-8.7MiB live, 29.2MiB allocated
Accuracy

Total -0.8b remaining (-1.4%)

Threshold costs -0.8b (-1.4%)

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

11 calls:

6.0ms
(+.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)))
2.0ms
z
2.0ms
t
2.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
1.0ms
x
Results
AccuracySegmentsBranch
7.9%1t
7.9%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
7.9%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
7.9%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)))
7.9%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)))
7.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
7.9%1x
7.9%1y
7.9%1z
7.9%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)))
7.9%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Compiler

Compiled 145 to 109 computations (24.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0000099719909485
2.000170352927398
0.0ms
0.00019800169047812233
0.9974459549614382
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0000099719909485
2.000170352927398
0.0ms
1.1307951353956014e-5
0.00019800169047812233
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000331435876433
1.0001767856956576
0.0ms
1.1307951353956014e-5
0.00019800169047812233
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000331435876433
1.0001767856956576
0.0ms
1.1307951353956014e-5
0.00019800169047812233
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000000074505806
0.0ms
1.1307951353956014e-5
0.00019800169047812233
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000000074505806
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch215.0ms (0.8%)

Memory
-196.3MiB live, 105.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
43.0ms
5.236252985139974e+28
5.543978668980501e+30
163.0ms
3.2610616144671135e-9
2.7100936224341777e-6
Samples
76.0ms223×1valid
2.0ms17×0valid
Compiler

Compiled 1 000 to 669 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-sqrt: 29.0ms (42.6% of total)
ival-add: 17.0ms (25% of total)
adjust: 13.0ms (19.1% of total)
ival-sub: 8.0ms (11.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch36.0ms (0.1%)

Memory
9.3MiB live, 45.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.236252985139974e+28
5.543978668980501e+30
32.0ms
2.1466876264749912e-13
5.885037611260916e-13
Samples
28.0ms72×1valid
1.0ms8×0valid
Compiler

Compiled 822 to 545 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-sqrt: 14.0ms (55.5% of total)
ival-add: 4.0ms (15.9% of total)
adjust: 4.0ms (15.9% of total)
ival-sub: 3.0ms (11.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch51.0ms (0.2%)

Memory
-26.4MiB live, 98.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.236252985139974e+28
5.543978668980501e+30
42.0ms
3.7219631702480025e-15
2.1466876264749912e-13
Samples
37.0ms106×1valid
1.0ms6×0valid
Compiler

Compiled 941 to 619 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-add: 11.0ms (33.6% of total)
ival-sqrt: 11.0ms (33.6% of total)
adjust: 6.0ms (18.3% of total)
ival-sub: 4.0ms (12.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.9999995366765027
2.9999999389921075
0.0ms
1.0001767856956576
1.0043725625841802
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0000099719909485
2.000170352927398
0.0ms
1.0001767856956576
1.0043725625841802
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0015081599776106
2.7153062636538037
0.0ms
1.0001767856956576
1.0043725625841802
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0015081599776106
2.7153062636538037
0.0ms
1.0000331435876433
1.0001767856956576
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0015081599776106
2.7153062636538037
0.0ms
1.0000331435876433
1.0001767856956576
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0000099719909485
2.000170352927398
0.0ms
1.0000331435876433
1.0001767856956576
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000000074505806
0.0ms
1.0000331435876433
1.0001767856956576
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000000074505806
0.0ms
1.0000331435876433
1.0001767856956576
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000000074505806
0.0ms
1.0000331435876433
1.0001767856956576
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000331435876433
1.0001767856956576
Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000331435876433
1.0001767856956576
Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
7.450580596923828e-9
Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify46.0ms (0.2%)

Memory
-2.7MiB live, 74.1MiB allocated
Algorithm
1×egg-herbie
Rules
178×+-commutative_binary64
68×sub-neg_binary64
26×*-commutative_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03104912
14184912
24614912
34844912
44954912
54964912
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.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)) #s(approx (- (sqrt (+ 1 x)) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4503824807351865/2251799813685248 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 #s(approx (- (+ 1 t) t) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))))
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(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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)))
Outputs
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(if (<=.f64 (+.f64 (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 4504049987333233/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 x)))))) (if (<=.f64 (+.f64 (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2 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 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 4504049987333233/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(if (<=.f64 (+.f64 (+.f64 (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) #s(literal 4504049987333233/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 4504049987333233/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(if (<=.f64 (+.f64 (+.f64 (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) #s(literal 4504049987333233/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))))))
(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))) (- (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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal 0 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (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 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.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) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (/ (- z y) (- (sqrt z) (sqrt y)))))) (sqrt.f64 y)))

soundness2.0s (7.7%)

Memory
19.0MiB live, 1 482.9MiB allocated
Rules
8 054×lower-fma.f64
8 054×lower-fma.f32
7 816×lower-+.f64
7 816×lower-+.f32
7 180×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161623646
1546721270
0829620185
0153519535
1521218172
0836317411
0106016498
1356015479
2786815479
0807814774
02497
04397
120897
2216497
0921197
075487
0125475
1643453
27204453
08046451
0101736
0153736
1824633
08801632
05524159
117363889
262323889
080303682
Stop Event
1×fuel
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×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 7 362 to 3 022 computations (59% saved)

preprocess246.0ms (0.9%)

Memory
-18.6MiB live, 360.4MiB allocated
Compiler

Compiled 5 800 to 810 computations (86% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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