Main:z from

Time bar (total: 26.5s)

analyze197.0ms (0.7%)

Memory
1.1MiB live, 194.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
6.3%6.2%93.6%0.2%0%0%0%5
8.3%6.2%68.6%0.2%0%25%0%6
11.1%6.2%49.9%0.2%0%43.7%0%7
14.8%6.2%35.9%0.2%0%57.7%0%8
19.8%6.2%25.3%0.2%0%68.2%0%9
23.7%6.2%20.1%0.2%0%73.5%0%10
28.4%6.2%15.7%0.2%0%77.9%0%11
34.1%6.2%12%0.2%0%81.5%0%12
Compiler

Compiled 33 to 26 computations (21.2% saved)

sample9.3s (35%)

Memory
59.5MiB live, 11 725.8MiB allocated
Samples
3.8s7 566×1valid
3.5s15 987×0invalid
96.0ms690×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.0s
ival-sqrt: 2.8s (47.2% of total)
ival-add: 1.8s (29.8% of total)
ival-sub: 706.0ms (11.8% of total)
adjust: 630.0ms (10.5% of total)
ival-true: 18.0ms (0.3% of total)
exact: 16.0ms (0.3% of total)
ival-assert: 10.0ms (0.2% of total)
Bogosity

preprocess450.0ms (1.7%)

Memory
-45.2MiB live, 668.7MiB 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)

explain495.0ms (1.9%)

Memory
23.4MiB live, 890.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2420-0-(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
1780-0-(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
710-0-(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
140-0-(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
00-0-(sqrt.f64 x)
00-0-(+.f64 y #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-t
00-0-(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
00-0-(sqrt.f64 z)
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
00-0-(sqrt.f64 y)
00-0-(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
00-0-(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
00-0-y
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
00-0-z
00-0-(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
00-0-(+.f64 t #s(literal 1 binary64))
00-0-(+.f64 z #s(literal 1 binary64))
00-0-(sqrt.f64 t)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))cancellation481
-.f64(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))cancellation360
-.f64(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))cancellation150
-.f64(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))cancellation140
Confusion
Predicted +Predicted -
+470
-47162
Precision
0.5
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4700
-470162
Precision?
0.5
Recall?
1.0
Freqs
test
numberfreq
0162
178
213
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
205.0ms478×1valid
5.0ms34×0valid
Compiler

Compiled 350 to 100 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-sqrt: 77.0ms (46.9% of total)
ival-add: 35.0ms (21.3% of total)
adjust: 33.0ms (20.1% of total)
ival-sub: 18.0ms (11% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.8%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify979.0ms (3.7%)

Memory
-17.9MiB live, 591.7MiB 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)

localize286.0ms (1.1%)

Memory
10.8MiB live, 207.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy94.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓accuracy75.6%
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓accuracy35.0%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓accuracy10.0%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
240.0ms239×1valid
3.0ms17×0valid
Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-sqrt: 154.0ms (75.2% of total)
ival-add: 28.0ms (13.7% of total)
adjust: 15.0ms (7.3% of total)
ival-sub: 8.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.2%)

Memory
15.5MiB live, 67.5MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#<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)))>
#<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)))>
#<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)))>
#<alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))>
#<alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))>
#<alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))>
#<alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))>
Outputs
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 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)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
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#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
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#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
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#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))>
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#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
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#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z)))>
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#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (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 x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))>
#<alt (- (sqrt (+ 1 y)) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y))>
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))) (sqrt y))>
#<alt (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))>
#<alt (- (sqrt (+ 1 x)) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))>
#<alt (- (+ (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))>
#<alt (- 1 (sqrt x))>
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))>
#<alt (- 1 (sqrt t))>
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))>
#<alt (* 1/2 (sqrt (/ 1 t)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)>
#<alt (* -1/2 (sqrt (/ 1 t)))>
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#<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)>
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#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))>
#<alt (- 1 (sqrt y))>
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#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)>
#<alt (* -1/2 (sqrt (/ 1 y)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))>
Calls

39 calls:

TimeVariablePointExpression
25.0ms
y
@inf
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))
3.0ms
x
@inf
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))
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)))

simplify332.0ms (1.3%)

Memory
-16.6MiB live, 528.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 816×lower-+.f64
7 816×lower-+.f32
5 582×lower--.f64
5 582×lower--.f32
4 008×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite412.0ms (1.6%)

Memory
30.1MiB live, 622.5MiB allocated
Algorithm
1×batch-egg-rewrite
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))))

eval107.0ms (0.4%)

Memory
6.7MiB live, 207.9MiB allocated
Compiler

Compiled 33 138 to 2 294 computations (93.1% saved)

prune120.0ms (0.5%)

Memory
7.0MiB live, 279.5MiB allocated
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New52726553
Fresh000
Picked101
Done000
Total52826554
Accuracy
98.7%
Counts
554 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(+.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)))
88.6%
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.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)))
▶92.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
92.2%
(+.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 (-.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)))
▶91.9%
(+.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))) (-.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))))
87.0%
(+.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))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
32.7%
(+.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))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
65.0%
(+.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))) #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)))
72.2%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
91.9%
(+.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)))
91.6%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
27.6%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
10.0%
(+.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)))
22.7%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
33.2%
(+.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)))
▶28.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
51.2%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
49.7%
(+.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)))
49.0%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z 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)))
38.3%
(+.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)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
71.2%
(+.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)))
70.6%
(+.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)))
▶56.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
▶33.4%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.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))))))
9.8%
#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) 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)))))))
65.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
Compiler

Compiled 1 928 to 1 270 computations (34.1% saved)

simplify560.0ms (2.1%)

Memory
-21.5MiB live, 586.0MiB 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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
✓cost-diff0
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
✓cost-diff0
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #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
(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))))
✓cost-diff0
(-.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)))
✓cost-diff0
(-.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))))
✓cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (fma.f64 #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)))))
✓cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
✓cost-diff0
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
✓cost-diff0
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
✓cost-diff0
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
✓cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
✓cost-diff0
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
✓cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
✓cost-diff0
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.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)
Rules
14 840×lower-fma.f32
14 838×lower-fma.f64
4 454×lower-+.f32
4 408×lower-+.f64
3 458×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080856
0134848
1254824
2700824
33420824
44364824
56616824
08138824
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 (-.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)
#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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
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 (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 (-.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 (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)))
(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))))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
(+.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)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 x)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(/.f64 (-.f64 (+.f64 #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 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.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 (-.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 #s(literal 1 binary64) z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #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)
#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 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) (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 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) (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 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(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 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.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))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
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 (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)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
(-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(-.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 (+.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(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))))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
(+.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)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 x)
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))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (+.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 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 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 (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)

localize478.0ms (1.8%)

Memory
28.4MiB live, 732.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy94.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓accuracy75.6%
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓accuracy35.0%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓accuracy9.6%
(-.f64 (+.f64 #s(literal 1 binary64) t) t)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
✓accuracy94.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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)))))
✓accuracy94.7%
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓accuracy38.2%
(-.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)))
✓accuracy99.9%
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
✓accuracy99.9%
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
✓accuracy28.6%
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
✓accuracy10.0%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓accuracy99.9%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
✓accuracy99.9%
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
✓accuracy94.8%
#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) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
✓accuracy38.7%
(+.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)))))
✓accuracy94.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓accuracy77.7%
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
✓accuracy35.0%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓accuracy10.0%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
253.0ms239×1valid
7.0ms17×0valid
Compiler

Compiled 765 to 61 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-add: 52.0ms (27.4% of total)
ival-sqrt: 44.0ms (23.2% of total)
adjust: 43.0ms (22.7% of total)
ival-sub: 26.0ms (13.7% of total)
ival-div: 14.0ms (7.4% of total)
ival-mult: 9.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series59.0ms (0.2%)

Memory
7.4MiB live, 124.5MiB allocated
Counts
27 → 768
Calls
Call 1
Inputs
#<alt (-.f64 (+.f64 #s(literal 1 binary64) y) y)>
#<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)))>
#<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)))>
#<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))))>
#<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))))))>
#<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)))))>
#<alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))>
#<alt #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))>
#<alt (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))>
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))>
#<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 (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)))))>
#<alt (-.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))))>
#<alt (-.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)))>
#<alt (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))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) t) t)>
#<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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))>
#<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)))>
#<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)))>
#<alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))>
#<alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))>
#<alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))>
#<alt (+.f64 (sqrt.f64 y) (sqrt.f64 z))>
#<alt (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) t))>
#<alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))>
Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 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 t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 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 t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow y 3))))))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
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Calls

192 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))
4.0ms
y
@0
(- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z)))
2.0ms
y
@inf
(- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z)))
2.0ms
z
@inf
(+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))
1.0ms
t
@0
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t))))

simplify660.0ms (2.5%)

Memory
-7.2MiB live, 674.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 308×lower-fma.f64
7 308×lower-fma.f32
6 742×lower-+.f64
6 742×lower-+.f32
3 652×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147921174
1513519921
0819319065
Stop Event
1×iter limit
1×node limit
Counts
768 → 768
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
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(* -1 (/ (- (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (- (* 5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -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 (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(sqrt (/ 1 t))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(- 1 (sqrt y))
(- (+ 1 (* 1/2 y)) (sqrt y))
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))
(* 1/2 (sqrt (/ 1 y)))
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)
(* -1/2 (sqrt (/ 1 y)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))
Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (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)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))) (+ (sqrt t) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (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)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.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) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 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 t) (+ (sqrt x) (sqrt z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 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 t) (+ (sqrt x) (sqrt z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 y (fma.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))) (*.f64 y (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 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))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.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)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow y 3))))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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)))))) (+.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 z))))
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
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(- (+ (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))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -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 t) (+ (sqrt x) (sqrt z))))
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 z) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* z (+ 1/2 (* -1/8 z))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))
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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))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (neg.f64 x))
(+ (sqrt y) (sqrt z))
(+.f64 (sqrt.f64 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 y)
(sqrt.f64 y)
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 z) y)))
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 z) y)))
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 z) y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (sqrt.f64 z) y))) (neg.f64 y))
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (sqrt.f64 z) y))) (neg.f64 y))
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (sqrt.f64 z) y))) (neg.f64 y))
(+ (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 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)))))
(neg.f64 (*.f64 z (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (sqrt.f64 y) z))))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 z (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (sqrt.f64 y) z))))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 z (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (sqrt.f64 y) z))))
(- (sqrt x) 1)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(- (+ (sqrt x) (* -1/2 x)) 1)
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(- (+ (sqrt x) (* x (- (* 1/8 x) 1/2))) 1)
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64))
(- (+ (sqrt x) (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))) 1)
(+.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)) (sqrt.f64 x)) #s(literal -1 binary64))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(/ (- (* 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)
(/ (- (* -1/16 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))) x)
(/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x)
(/ (- (* 5/128 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 5/128 binary64) (*.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)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -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 (/ (- (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x)))) x))
(neg.f64 (/.f64 (fma.f64 (/.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))) #s(literal -1/16 binary64) (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 (/ (- (* 5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 5/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (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))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(sqrt (/ 1 t))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(- 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 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) (neg.f64 y))
(* -1 (/ (+ (* -1/8 (* (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 (sqrt.f64 y) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 y))

rewrite655.0ms (2.5%)

Memory
-6.0MiB live, 708.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 706×lower-fma.f32
3 704×lower-fma.f64
3 080×lower-*.f64
3 080×lower-*.f32
2 742×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080563
0134575
1689526
08050526
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 817
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
#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(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
#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 (-.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 (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)))
(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 (+.f64 #s(literal 1 binary64) t) t)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
Outputs
#s(literal 1 binary64)
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) x)) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
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#s(literal 1 binary64)
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(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
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(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 1 binary64) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
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(/.f64 (*.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) y)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(/.f64 (*.f64 (*.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 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.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 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.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 (+.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)))))

eval349.0ms (1.3%)

Memory
33.9MiB live, 741.5MiB allocated
Compiler

Compiled 88 602 to 4 841 computations (94.5% saved)

prune476.0ms (1.8%)

Memory
-5.5MiB live, 507.5MiB allocated
Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New1 842281 870
Fresh13821
Picked505
Done000
Total1 860361 896
Accuracy
100.0%
Counts
1 896 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(+.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)))
91.8%
(+.f64 (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶93.1%
(+.f64 (+.f64 (+.f64 (-.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 (+.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)))
92.2%
(+.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 (-.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)))
32.7%
(+.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))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
65.0%
(+.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))) #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)))
91.6%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 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)))
▶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)))
27.2%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
10.0%
(+.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)))
67.7%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.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)))
▶28.5%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
36.0%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
51.2%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
28.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
2.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
38.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 y) (sqrt.f64 z)))))
12.2%
#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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
56.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
56.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
33.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 z)))
27.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
65.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
32.1%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
40.0%
#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) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
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))))))
33.3%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #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))))))
65.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
▶6.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
47.9%
#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 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
32.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
▶64.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
65.9%
#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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
56.4%
#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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
Compiler

Compiled 2 200 to 1 504 computations (31.6% saved)

simplify597.0ms (2.3%)

Memory
-17.1MiB live, 563.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
✓cost-diff0
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
✓cost-diff0
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
✓cost-diff0
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
✓cost-diff0
#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)))))
✓cost-diff0
(+.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)))
✓cost-diff0
(+.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)))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (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)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
✓cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #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 y) (sqrt.f64 x))))))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
✓cost-diff0
#s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
✓cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
✓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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
✓cost-diff0
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.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) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
✓cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
✓cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
Rules
13 776×lower-fma.f32
13 774×lower-fma.f64
4 278×lower-+.f32
4 234×lower-+.f64
4 014×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104908
0164904
1298860
2767860
33369860
44310860
56991860
08417858
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 (-.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) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.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) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (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)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 #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 y) (sqrt.f64 x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 y)
(sqrt.f64 x)
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 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 #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)))
#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 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 y)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) 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)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #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))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
z
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 t)
Outputs
(+.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 (-.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (-.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) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) z)
z
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(sqrt.f64 (+.f64 #s(literal 1 binary64) z))
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 t #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))
#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 y) (sqrt.f64 x)))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 #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 y) (sqrt.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (sqrt.f64 y) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 x)
(+.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 #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)) (/ (- (+ 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
#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)))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 #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))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))) (/.f64 #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))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
#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))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 x)
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
z
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 t)

localize523.0ms (2%)

Memory
-16.9MiB live, 897.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
✓accuracy99.9%
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
✓accuracy28.6%
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
✓accuracy35.0%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓accuracy16.0%
#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)))))
✓accuracy10.0%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓accuracy94.8%
#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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
✓accuracy94.6%
(+.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 y) (sqrt.f64 x))))
✓accuracy77.0%
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓accuracy71.8%
#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 y) (sqrt.f64 x)))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
✓accuracy94.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
✓accuracy10.8%
#s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
✓accuracy94.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓accuracy77.7%
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
✓accuracy36.0%
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
✓accuracy10.0%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
351.0ms239×1valid
8.0ms17×0valid
Compiler

Compiled 728 to 74 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 292.0ms
ival-add: 101.0ms (34.5% of total)
ival-sqrt: 77.0ms (26.3% of total)
adjust: 59.0ms (20.2% of total)
ival-sub: 31.0ms (10.6% of total)
ival-div: 18.0ms (6.2% of total)
ival-mult: 5.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.2%)

Memory
24.6MiB live, 100.1MiB allocated
Counts
26 → 732
Calls
Call 1
Inputs
#<alt (-.f64 (+.f64 #s(literal 1 binary64) y) y)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) z) z)>
#<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 (-.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)))>
#<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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))>
#<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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))>
#<alt #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) t))>
#<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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))>
#<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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))>
#<alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) x))>
#<alt (+.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)))>
#<alt (+.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)))>
#<alt #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)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))>
#<alt #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))>
#<alt (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))>
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))>
#<alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))>
#<alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))>
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#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))>
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#<alt (* (sqrt z) (pow (sqrt -1) 2))>
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#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt x))>
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#<alt (- (+ 2 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (sqrt x))>
#<alt (- (+ 2 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (sqrt x))>
#<alt (sqrt y)>
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#<alt (* y (- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* (/ 1 y) (sqrt (+ 1 x))) (/ 1 y))))) (* (sqrt x) (/ 1 y))))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* -1 (/ (- (+ 1 (sqrt (+ 1 x))) (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y))))) (sqrt x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
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#<alt (- 1 (sqrt t))>
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#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))>
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))>
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#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)>
#<alt (* -1/2 (sqrt (/ 1 t)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))>
#<alt (- 1 (sqrt x))>
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))>
#<alt (* 1/2 (sqrt (/ 1 z)))>
#<alt (/ (+ (* 1/2 (sqrt z)) (* z (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))))) z)>
#<alt (/ (+ (* 1/2 (sqrt z)) (* z (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))))) z)>
#<alt (/ (+ (* 1/2 (sqrt z)) (* z (- (sqrt (+ 1 y)) (+ (sqrt x) (sqrt y))))) z)>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (* 1/2 y) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (* 1/2 (sqrt (/ 1 z))) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ 1 (+ (* 1/2 (sqrt (/ 1 z))) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))>
#<alt (- (* 1/2 (sqrt (/ 1 z))) (sqrt x))>
#<alt (- (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z))))) (sqrt x))>
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))))) (sqrt x))>
#<alt (- (* 1/2 (sqrt (/ 1 z))) (sqrt x))>
#<alt (- (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))) (sqrt x))>
#<alt (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt x))>
#<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)) (* 1/2 (sqrt (/ 1 z)))) (sqrt x))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* (/ 1 x) (sqrt (+ 1 y)))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))>
#<alt (* x (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* (/ 1 x) (sqrt (+ 1 y)))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))>
#<alt (* x (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* (/ 1 x) (sqrt (+ 1 y)))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (- 1 (sqrt z))>
#<alt (- (+ 1 (* 1/2 z)) (sqrt z))>
#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))>
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))>
#<alt (* 1/2 (sqrt (/ 1 z)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)>
#<alt (* -1/2 (sqrt (/ 1 z)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))>
#<alt (/ 1 (+ 1 (sqrt t)))>
#<alt (+ (* -1/2 (/ t (pow (+ 1 (sqrt t)) 2))) (/ 1 (+ 1 (sqrt t))))>
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#<alt (+ (sqrt y) (sqrt z))>
#<alt (+ (sqrt y) (sqrt z))>
#<alt (+ (sqrt y) (sqrt z))>
#<alt (sqrt y)>
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))>
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))>
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
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#<alt (* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt y) (sqrt z))>
#<alt (+ (sqrt y) (sqrt z))>
#<alt (+ (sqrt y) (sqrt z))>
#<alt (+ (sqrt y) (sqrt z))>
#<alt (sqrt z)>
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))>
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))>
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
Calls

183 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))))
1.0ms
z
@0
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms
x
@0
(- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))
1.0ms
z
@-inf
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t)))
1.0ms
z
@-inf
(+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))))

simplify526.0ms (2%)

Memory
-9.2MiB live, 668.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 286×lower-+.f64
7 286×lower-+.f32
6 690×lower-fma.f64
6 690×lower-fma.f32
3 254×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0162921157
1562720001
0821919193
Stop Event
1×iter limit
1×node limit
Counts
732 → 732
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
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* x (+ 1/2 (* -1/8 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(- (+ (sqrt (+ 1 t)) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -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 z) (sqrt (+ 1 z))))))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt t))
(- (+ (sqrt (+ 1 t)) (+ (* -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)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt t))
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(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (* 1/2 y) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (* 1/2 (sqrt (/ 1 z))) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))
(- (+ 1 (+ (* 1/2 (sqrt (/ 1 z))) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))
(- (* 1/2 (sqrt (/ 1 z))) (sqrt x))
(- (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))) (sqrt x))
(- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z))))) (sqrt x))
(- (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))))) (sqrt x))
(- (* 1/2 (sqrt (/ 1 z))) (sqrt x))
(- (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))) (sqrt x))
(- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt 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)) (* 1/2 (sqrt (/ 1 z)))) (sqrt x))
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (+ (sqrt x) (sqrt y)))
(* -1 (sqrt x))
(* x (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* (/ 1 x) (sqrt (+ 1 y)))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(* x (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* (/ 1 x) (sqrt (+ 1 y)))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(* x (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* (/ 1 x) (sqrt (+ 1 y)))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(- 1 (sqrt z))
(- (+ 1 (* 1/2 z)) (sqrt z))
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
(* 1/2 (sqrt (/ 1 z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)
(* -1/2 (sqrt (/ 1 z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))
(/ 1 (+ 1 (sqrt t)))
(+ (* -1/2 (/ t (pow (+ 1 (sqrt t)) 2))) (/ 1 (+ 1 (sqrt t))))
(+ (* t (- (* t (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt t)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt t)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt t)) 2))))) (/ 1 (+ 1 (sqrt t))))
(+ (* t (- (* t (+ (* -1 (* t (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt t)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt t)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt t)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt t)) 3)))) (+ 1 (sqrt t)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt t)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt t)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt t)) 2))))) (/ 1 (+ 1 (sqrt t))))
(* 1/2 (sqrt (/ 1 t)))
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))) (* 1/8 (sqrt (/ 1 t)))) t)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow t 7))) (* 1/32 (sqrt (pow t 7)))) (pow t 6))) (* 1/2 (sqrt t))) (+ (* -1/16 (sqrt (/ 1 (pow t 3)))) (* 1/8 (sqrt (/ 1 t))))) t)
(* -1/2 (sqrt (/ 1 t)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))) (* 1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2))))) t))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow t 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow t 7)) (/ 1 (pow (sqrt -1) 6))))) (pow t 6))) (* 1/2 (sqrt t))) (+ (* -1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))))) t))
(+ (sqrt y) (sqrt z))
(+ (sqrt y) (sqrt z))
(+ (sqrt y) (sqrt z))
(+ (sqrt y) (sqrt z))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(+ (sqrt y) (sqrt z))
(+ (sqrt y) (sqrt z))
(+ (sqrt y) (sqrt z))
(+ (sqrt y) (sqrt z))
(sqrt z)
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* x (+ 1/2 (* -1/8 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
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(- (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt t))
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(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt t))
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(- (+ (sqrt (+ 1 t)) (+ (* -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 z) (sqrt (+ 1 z))))))))) (sqrt t))
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(- (+ (sqrt (+ 1 t)) (+ (* -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)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt t))
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rewrite387.0ms (1.5%)

Memory
8.4MiB live, 566.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 392×lower-fma.f32
4 390×lower-fma.f64
3 602×lower-*.f32
3 600×lower-*.f64
3 186×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104660
0164660
1826587
08787587
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 494
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) y) y)
(-.f64 (+.f64 #s(literal 1 binary64) z) z)
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.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) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (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)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 #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 y) (sqrt.f64 x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.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 #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)))
#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 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #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))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) x)) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (neg.f64 (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (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) x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (sqrt.f64 t))
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (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 (-.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) z)))) (sqrt.f64 z))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) z)) (sqrt.f64 z)))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64)) (*.f64 (-.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (neg.f64 (*.f64 t (sqrt.f64 t)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(fma.f64 (-.f64 (*.f64 (+.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 (+.f64 #s(literal 1 binary64) z) z)))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (*.f64 (+.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 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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)))))
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eval282.0ms (1.1%)

Memory
16.5MiB live, 453.2MiB allocated
Compiler

Compiled 55 606 to 3 637 computations (93.5% saved)

prune543.0ms (2%)

Memory
8.7MiB live, 435.6MiB allocated
Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New1 257171 274
Fresh171431
Picked415
Done000
Total1 278321 310
Accuracy
100.0%
Counts
1 310 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.6%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
11.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 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)))
▶16.5%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 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)))
10.0%
(+.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)))
67.7%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
36.0%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
▶28.5%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
28.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
89.4%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
38.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 y) (sqrt.f64 z)))))
56.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
33.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 z)))
40.0%
#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) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
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))))))
33.3%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #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))))))
65.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
▶6.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
56.4%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
✓6.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
49.4%
#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 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (sqrt.f64 y)) (sqrt.f64 x))))
33.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
64.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
65.9%
#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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
42.8%
#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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
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)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.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)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))))
29.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
32.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
64.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
▶56.4%
#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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
64.4%
#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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (/.f64 (fma.f64 z (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z))))
27.3%
#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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))))
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) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
Compiler

Compiled 1 612 to 1 151 computations (28.6% saved)

simplify433.0ms (1.6%)

Memory
-28.4MiB live, 657.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
#s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))))
✓cost-diff0
(-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
✓cost-diff0
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
✓cost-diff0
#s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))
✓cost-diff0
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
✓cost-diff0
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
✓cost-diff0
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 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)))
✓cost-diff0
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
✓cost-diff0
#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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
✓cost-diff0
(sqrt.f64 t)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))
✓cost-diff0
#s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))
✓cost-diff0
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
✓cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓cost-diff0
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
✓cost-diff0
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (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)))
Rules
14 268×lower-fma.f64
14 268×lower-fma.f32
4 564×lower-+.f32
4 526×lower-+.f64
3 514×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101908
0150908
1282896
2717896
33070896
45266896
56985896
08137894
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 y)
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))
#s(literal 1/2 binary64)
(sqrt.f64 t)
t
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
#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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
#s(literal 1 binary64)
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 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) z))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(sqrt.f64 x)
x
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 y)
y
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
(sqrt.f64 (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
z
(sqrt.f64 z)
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
(sqrt.f64 (+.f64 t #s(literal 1 binary64)))
(+.f64 t #s(literal 1 binary64))
t
(sqrt.f64 t)
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #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))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
#s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))))
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 x)
x
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
z
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 t)
Outputs
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (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)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (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)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))
#s(literal 1/2 binary64)
(sqrt.f64 t)
t
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
#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) z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(literal 1 binary64)
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 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) z))
(+.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(sqrt.f64 x)
x
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #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)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.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)) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))
#s(literal 1 binary64)
(+.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 (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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #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))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
#s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
#s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))))
#s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 x)
x
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(sqrt.f64 z)
z
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))
(sqrt.f64 (+.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) t)
t
(sqrt.f64 t)

localize539.0ms (2%)

Memory
-9.0MiB live, 804.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
✓accuracy98.9%
#s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))))
✓accuracy28.6%
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
✓accuracy75.6%
#s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))
✓accuracy35.0%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓accuracy16.0%
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
✓accuracy10.0%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
✓accuracy99.9%
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
✓accuracy94.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
✓accuracy94.5%
#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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
✓accuracy38.1%
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
✓accuracy100.0%
(sqrt.f64 t)
✓accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))
✓accuracy94.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
✓accuracy10.8%
#s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))
✓accuracy94.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓accuracy75.6%
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
✓accuracy35.0%
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
✓accuracy10.0%
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Samples
357.0ms239×1valid
7.0ms17×0valid
Compiler

Compiled 643 to 71 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 288.0ms
adjust: 104.0ms (36.1% of total)
ival-add: 60.0ms (20.8% of total)
ival-sub: 59.0ms (20.5% of total)
ival-sqrt: 43.0ms (14.9% of total)
ival-div: 18.0ms (6.3% 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)

series36.0ms (0.1%)

Memory
22.5MiB live, 60.2MiB allocated
Counts
25 → 732
Calls
Call 1
Inputs
#<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)))>
#<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)))>
#<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)))>
#<alt #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))>
#<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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))>
#<alt #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))>
#<alt (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))>
#<alt (sqrt.f64 t)>
#<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 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))>
#<alt #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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))>
#<alt (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))>
#<alt (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))>
#<alt (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 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)))>
#<alt (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))>
#<alt #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))>
#<alt #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))>
#<alt (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))>
#<alt #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))>
#<alt (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))>
#<alt #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))))>
#<alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))>
#<alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))>
#<alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))>
#<alt (+.f64 (sqrt.f64 y) (sqrt.f64 z))>
Outputs
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 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)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) (+ (sqrt y) (sqrt z)))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))>
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))>
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#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))>
#<alt (- 1 (sqrt y))>
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))>
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))>
#<alt (* 1/2 (sqrt (/ 1 y)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)>
#<alt (* -1/2 (sqrt (/ 1 y)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))>
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#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))>
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))>
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#<alt (+ (sqrt y) (sqrt z))>
#<alt (+ (sqrt y) (sqrt z))>
#<alt (+ (sqrt y) (sqrt z))>
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#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))>
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))>
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))>
Calls

183 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
1.0ms
t
@-inf
(/ 1/2 (sqrt t))
0.0ms
x
@0
(+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
0.0ms
y
@inf
(+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))
0.0ms
y
@inf
(- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))

simplify419.0ms (1.6%)

Memory
-3.5MiB live, 706.6MiB allocated
Algorithm
1×egg-herbie
Rules
6 984×lower-+.f64
6 984×lower-+.f32
6 498×lower-fma.f64
6 498×lower-fma.f32
3 300×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142720970
1494619830
2714719746
0807618943
Stop Event
1×iter limit
1×node limit
Counts
732 → 732
Calls
Call 1
Inputs
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(- (+ 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)))))
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(- (+ 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)))))
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))
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(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* -1/2 (sqrt (/ 1 x)))
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(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) t)
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))) t)
(* -1/2 (sqrt (/ 1 t)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))
(/.f64 (fma.f64 #s(literal 1/16 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 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) (neg.f64 t))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))) (neg.f64 t))
(- 1 (sqrt z))
(-.f64 #s(literal 1 binary64) (sqrt.f64 z))
(- (+ 1 (* 1/2 z)) (sqrt z))
(-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z))
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))
(-.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(* 1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) z)
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) z)
(* -1/2 (sqrt (/ 1 z)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (neg.f64 z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (neg.f64 z))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 z))
(- 1 (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 1/16 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 #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 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) (neg.f64 y))
(* -1 (/ (+ (* -1/8 (* (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 (sqrt.f64 y) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 y))
(/ 1 (+ 1 (sqrt t)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))
(+ (* -1/2 (/ t (pow (+ 1 (sqrt t)) 2))) (/ 1 (+ 1 (sqrt t))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+ (* t (- (* t (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt t)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt t)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt t)) 2))))) (/ 1 (+ 1 (sqrt t))))
(fma.f64 t (fma.f64 t (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(+ (* t (- (* t (+ (* -1 (* t (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt t)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt t)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt t)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt t)) 3)))) (+ 1 (sqrt t)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt t)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt t)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt t)) 2))))) (/ 1 (+ 1 (sqrt t))))
(fma.f64 t (fma.f64 t (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))))) (*.f64 t (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 t))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t))))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (sqrt.f64 t))))) (/.f64 #s(literal 1 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)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))) (* 1/8 (sqrt (/ 1 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 (/ (+ (* 1/128 (sqrt (pow t 7))) (* 1/32 (sqrt (pow t 7)))) (pow t 6))) (* 1/2 (sqrt t))) (+ (* -1/16 (sqrt (/ 1 (pow t 3)))) (* 1/8 (sqrt (/ 1 t))))) t)
(/.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (pow.f64 t #s(literal 7 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 t #s(literal 6 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) t)
(* -1/2 (sqrt (/ 1 t)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (neg.f64 t))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))) (* 1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2))))) t))
(/.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 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) (neg.f64 t))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow t 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow t 7)) (/ 1 (pow (sqrt -1) 6))))) (pow t 6))) (* 1/2 (sqrt t))) (+ (* -1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))))) t))
(/.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 (pow.f64 t #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 t #s(literal 6 binary64))))) (fma.f64 (/.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))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (neg.f64 t))
(+ (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 y) (sqrt z))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt y)
(sqrt.f64 y)
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z))
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z))
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(-.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(-.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(-.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))
(+ (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 y) (sqrt z))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt z)
(sqrt.f64 z)
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))
(fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))
(fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))
(fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))
(* -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 (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(-.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(-.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))

rewrite557.0ms (2.1%)

Memory
5.7MiB live, 468.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 540×lower-fma.f64
4 540×lower-fma.f32
3 896×lower-*.f64
3 896×lower-*.f32
3 522×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101723
0150721
1820693
08363693
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 417
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))
(sqrt.f64 t)
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
#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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #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))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
#s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
Outputs
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))))
(+.f64 (-.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 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (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)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(+.f64 (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))))
(-.f64 (+.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)) (-.f64 (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 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (/.f64 (*.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)) (-.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) (-.f64 (+.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 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.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 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 #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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(fma.f64 (fma.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(fma.f64 (fma.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #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(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (*.f64 t (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.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 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (*.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))
(fma.f64 (*.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
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(fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (neg.f64 (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (sqrt.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (sqrt.f64 y)))) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) y)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 y (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 y (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 y (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 y (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (sqrt.f64 y))))) (neg.f64 (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (fma.f64 (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))
(pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(*.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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal -1/2 binary64)))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(-.f64 (/.f64 y (-.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 z (-.f64 (sqrt.f64 y) (sqrt.f64 z))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 y) (sqrt.f64 z))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y z) (sqrt.f64 (*.f64 y z))) (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 y z)))
(/.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))) (-.f64 (+.f64 y z) (sqrt.f64 (*.f64 y z))))
(/.f64 (-.f64 y z) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(/.f64 (neg.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z)))) (neg.f64 (-.f64 (+.f64 y z) (sqrt.f64 (*.f64 y z)))))
(/.f64 (neg.f64 (-.f64 y z)) (neg.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 z))))
(/.f64 (fma.f64 z (sqrt.f64 z) (*.f64 y (sqrt.f64 y))) (+.f64 z (-.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y z) (sqrt.f64 (*.f64 y z)))))
(*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 y) (sqrt.f64 z))))

eval586.0ms (2.2%)

Memory
10.1MiB live, 290.8MiB allocated
Compiler

Compiled 50 697 to 3 217 computations (93.7% saved)

prune258.0ms (1%)

Memory
-5.8MiB live, 518.7MiB allocated
Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New1 273181 291
Fresh101626
Picked415
Done101
Total1 288351 323
Accuracy
100.0%
Counts
1 323 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.1%
(+.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 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
69.8%
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
27.1%
(+.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 1/2 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)))
11.1%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
13.2%
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #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)))
10.0%
(+.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)))
67.7%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
28.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
28.1%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
23.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
28.4%
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
89.4%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
38.7%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 y) (sqrt.f64 z)))))
56.8%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
65.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
✓6.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
56.4%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
12.2%
#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))))) (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64)))))
49.4%
#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 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (sqrt.f64 y)) (sqrt.f64 x))))
64.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.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)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))))
29.6%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
32.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
64.5%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
25.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))))))
65.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y))))))
50.3%
#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(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
32.9%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))))
32.3%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
64.4%
#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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (/.f64 (fma.f64 z (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z))))
27.3%
#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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))))
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) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
32.6%
#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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
66.1%
#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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
2.0%
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
Compiler

Compiled 3 119 to 967 computations (69% saved)

regimes301.0ms (1.1%)

Memory
-17.7MiB live, 638.4MiB allocated
Counts
90 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
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(+.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)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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))) (-.f64 (sqrt.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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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 (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 (+.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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))) (-.f64 (sqrt.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 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 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 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z 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)))
Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 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 (-.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 (+.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)))
Calls

11 calls:

63.0ms
t
33.0ms
y
25.0ms
x
25.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
24.0ms
z
Results
AccuracySegmentsBranch
98.3%2x
93.1%1y
93.1%1z
93.1%1t
98.3%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
98.3%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
98.3%2(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
98.3%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
93.1%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
93.1%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
93.1%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes182.0ms (0.7%)

Memory
-7.4MiB live, 271.5MiB allocated
Counts
83 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 1 binary64) (+.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)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 y) (sqrt.f64 z)))))
(+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #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)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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))) (-.f64 (sqrt.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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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)))
Outputs
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 y) (sqrt.f64 z)))))
Calls

5 calls:

42.0ms
(+.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)))
38.0ms
(+.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)))
23.0ms
x
21.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
19.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.9%2x
99.9%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)))
99.9%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)))
97.9%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)))
97.9%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes435.0ms (1.6%)

Memory
16.4MiB live, 212.1MiB allocated
Counts
78 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 1 binary64) (+.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)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 y) (sqrt.f64 z)))))
(+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #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)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (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))) (-.f64 (sqrt.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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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)))
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) 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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 y) (sqrt.f64 z)))))
Calls

5 calls:

103.0ms
(+.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)))
102.0ms
x
98.0ms
(+.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)))
98.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
27.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
96.0%2x
97.8%3(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
96.0%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.8%3(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
98.8%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes420.0ms (1.6%)

Memory
25.0MiB live, 496.0MiB allocated
Counts
70 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 1 binary64) (+.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)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 y) (sqrt.f64 z)))))
(+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 y) (sqrt.f64 z)))))
Calls

11 calls:

100.0ms
(+.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)))
96.0ms
(+.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)))
36.0ms
x
36.0ms
y
35.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
94.4%2(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
94.6%2z
94.6%2t
93.6%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
94.6%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
93.7%2y
91.9%1x
91.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
93.6%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)))
94.6%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)))
94.6%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)

regimes138.0ms (0.5%)

Memory
-20.7MiB live, 230.2MiB allocated
Counts
67 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))) #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) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (-.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 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z)))) (/.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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 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))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 z)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (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))) (-.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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (/.f64 (fma.f64 z (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.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)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.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)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (sqrt.f64 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))) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 1 binary64) (+.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)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (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)))
Calls

6 calls:

47.0ms
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
20.0ms
z
18.0ms
t
16.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
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
94.3%2(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
94.3%2t
94.3%2z
94.3%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
94.3%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
94.3%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 94 to 69 computations (26.6% saved)

regimes316.0ms (1.2%)

Memory
-2.3MiB live, 116.7MiB allocated
Counts
63 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
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(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (sqrt.f64 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))) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 1 binary64) (+.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)) (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)))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (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 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 y)))) (-.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

4 calls:

149.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
128.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
20.0ms
z
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)))
Results
AccuracySegmentsBranch
94.3%2z
94.3%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
94.3%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
94.3%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes251.0ms (0.9%)

Memory
19.5MiB live, 373.1MiB allocated
Counts
60 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))) #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) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (-.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 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z)))) (/.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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 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))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 z)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (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))) (-.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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (/.f64 (fma.f64 z (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.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)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.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)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 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)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (sqrt.f64 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))) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 #s(approx (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (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))) #s(approx (- (sqrt x) (sqrt (+ 1 x))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
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 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (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 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

11 calls:

42.0ms
(+.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
32.0ms
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
19.0ms
t
18.0ms
y
Results
AccuracySegmentsBranch
91.6%1x
91.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
93.2%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)))
93.2%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
93.2%2y
91.6%1t
91.6%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
93.2%2z
93.2%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
93.2%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
93.2%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes147.0ms (0.6%)

Memory
-4.8MiB live, 273.3MiB allocated
Counts
45 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))) #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) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (-.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 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z)))) (/.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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 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))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 z)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (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))) (-.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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (/.f64 (fma.f64 z (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.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)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.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) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

11 calls:

18.0ms
y
16.0ms
x
14.0ms
z
13.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
13.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
78.9%2t
74.1%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
72.1%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
80.3%2x
92.2%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
92.1%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)))
92.1%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
92.1%2y
93.9%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)))
93.9%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)))
92.2%2z
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes30.0ms (0.1%)

Memory
-2.4MiB live, 33.4MiB 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))) #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) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (-.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 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z)))) (/.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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 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))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 z)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (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))) (-.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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (/.f64 (fma.f64 z (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.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)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Calls

2 calls:

17.0ms
(+.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
93.9%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)))
93.9%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 62 to 43 computations (30.6% saved)

regimes88.0ms (0.3%)

Memory
28.0MiB live, 97.9MiB allocated
Counts
41 → 4
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))) #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) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (-.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 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z)))) (/.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)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 t)))))
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 binary64) (+.f64 #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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) #s(approx (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (/.f64 #s(literal 1 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))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (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 z)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(approx (/ 1 (+ (sqrt (+ 1 t)) (sqrt t))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (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))) (-.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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (/.f64 (fma.f64 z (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 y)))) (-.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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (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(approx (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) #s(approx (+ (sqrt y) (sqrt z)) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
Calls

7 calls:

18.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
17.0ms
(+.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
11.0ms
y
9.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Results
AccuracySegmentsBranch
86.1%2y
86.1%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)))
86.1%2(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
92.2%3z
92.2%3(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
93.9%4(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
93.9%4(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 113 to 83 computations (26.5% saved)

regimes40.0ms (0.2%)

Memory
-2.1MiB live, 43.4MiB allocated
Counts
28 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))) #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) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (sqrt.f64 y)) (sqrt.f64 x))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
Calls

4 calls:

16.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
8.0ms
z
7.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
6.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
87.3%2z
87.3%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
89.0%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)))
89.0%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes23.0ms (0.1%)

Memory
-13.7MiB live, 21.4MiB allocated
Counts
24 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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) #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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (sqrt (+ 1 y)) (fma.f64 y #s(literal 1/2 binary64) #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) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.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)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
Calls

2 calls:

14.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
6.0ms
(+.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
89.0%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)))
89.0%3(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes33.0ms (0.1%)

Memory
0.1MiB live, 35.6MiB allocated
Counts
22 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (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 (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 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) #s(approx (+ (sqrt y) (sqrt 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) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
Calls

4 calls:

13.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
7.0ms
z
6.0ms
(+.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)))
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)))
Results
AccuracySegmentsBranch
87.3%2z
87.3%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
87.3%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
87.3%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes27.0ms (0.1%)

Memory
-9.3MiB live, 27.2MiB allocated
Counts
16 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (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) (+ (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (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 (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
Calls

4 calls:

5.0ms
z
4.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
4.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
4.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
86.5%2z
86.5%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
86.5%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
86.5%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes19.0ms (0.1%)

Memory
26.9MiB live, 26.9MiB allocated
Counts
15 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) #s(approx (+ (sqrt y) (sqrt 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) (+ (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 y) (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (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 (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
Calls

4 calls:

5.0ms
z
4.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
4.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
4.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
86.5%2z
86.5%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
86.5%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
86.5%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes175.0ms (0.7%)

Memory
-200.8MiB live, 21.7MiB allocated
Counts
11 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (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) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))
Calls

4 calls:

163.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
4.0ms
z
3.0ms
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
3.0ms
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Results
AccuracySegmentsBranch
86.5%2z
86.5%2(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
86.5%2(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
86.5%2(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes43.0ms (0.2%)

Memory
10.9MiB live, 52.9MiB allocated
Counts
10 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y))))))
Calls

11 calls:

10.0ms
y
4.0ms
x
4.0ms
t
4.0ms
z
3.0ms
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
65.9%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
65.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
65.9%1t
65.9%1x
65.9%1y
65.9%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)))
65.9%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
65.9%1z
65.9%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)))
65.9%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)))
65.9%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes38.0ms (0.1%)

Memory
17.4MiB live, 54.1MiB allocated
Counts
8 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (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) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))))
Calls

11 calls:

9.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
3.0ms
x
3.0ms
y
3.0ms
t
3.0ms
z
Results
AccuracySegmentsBranch
32.9%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)))
32.9%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
32.9%1t
32.9%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)))
32.9%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)))
32.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
32.9%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
32.9%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
32.9%1x
32.9%1z
32.9%1y
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes40.0ms (0.2%)

Memory
-10.4MiB live, 75.8MiB allocated
Counts
7 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ 1 (sqrt (+ 1 x))) (- (sqrt (+ 1 y)) (sqrt x))) (+ (sqrt y) (sqrt z))) (neg.f64 (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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
Calls

11 calls:

9.0ms
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
7.0ms
x
3.0ms
t
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
32.5%1z
32.5%1(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
32.5%1(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
32.5%1(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
32.5%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
32.5%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
32.5%1y
32.5%1t
32.5%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
32.5%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
32.5%1x
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes28.0ms (0.1%)

Memory
-1.3MiB live, 76.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (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 (- (- (+ (* 1/2 (sqrt (/ 1 t))) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) (- (sqrt x) (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt 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) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
Calls

11 calls:

4.0ms
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
4.0ms
t
2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
32.3%1(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
32.3%1(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
32.3%1(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))
32.3%1t
32.3%1(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
32.3%1(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))
32.3%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
32.3%1y
32.3%1z
32.3%1(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))
32.3%1x
Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes16.0ms (0.1%)

Memory
11.1MiB live, 50.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
Outputs
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
Calls

11 calls:

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

Compiled 145 to 109 computations (24.8% saved)

bsearch3.0ms (0%)

Memory
-40.7MiB live, 2.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999997484612947
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.017021678174409
2.124450757807845
0.0ms
0.0
0.9999997484612947
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.017021678174409
2.124450757807845
0.0ms
0.0
0.9999997484612947
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.017021678174409
2.124450757807845
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.017021678174408805
0.12445075780784487
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.017021678174408805
0.12445075780784487
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch46.0ms (0.2%)

Memory
9.4MiB live, 87.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
40.0ms
19931420592214577000.0
3.668333876625126e+21
Samples
35.0ms104×1valid
1.0ms8×0valid
Compiler

Compiled 479 to 339 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sqrt: 11.0ms (35.7% of total)
ival-add: 8.0ms (26% of total)
adjust: 6.0ms (19.5% of total)
ival-sub: 5.0ms (16.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.0000273377918347
2.000034593105738
0.0ms
1.0000435241399828
1.0001384878992212
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
2.0000273377918347
2.000034593105738
0.0ms
1.0000435241399828
1.0001384878992212
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.999999937508098
2.999999973875434
0.0ms
2.0000273377918347
2.000034593105738
0.0ms
1.0000435241399828
1.0001384878992212
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
2.0000273377918347
2.000034593105738
0.0ms
1.0000435241399828
1.0001384878992212
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
2.0000273377918347
2.000034593105738
0.0ms
1.0000435241399828
1.0001384878992212
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
2.0000273377918347
2.000034593105738
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
6.0042948462069035e-6
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
6.0042948462069035e-6
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
6.0042948462069035e-6
Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify40.0ms (0.2%)

Memory
-21.1MiB live, 59.0MiB allocated
Algorithm
1×egg-herbie
Rules
164×+-commutative_binary64
68×sub-neg_binary64
24×*-commutative_binary64
24×neg-sub0_binary64
24×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02563844
13453844
23973844
34303844
44443844
54453844
Stop Event
1×saturated
Calls
Call 1
Inputs
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(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 0 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) 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))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4728779608739021/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (/ (- (+ 1 z) z) (+ (sqrt (+ 1 z)) (sqrt z)))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt (+ 1 t)) (sqrt t)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.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 y) (sqrt.f64 z)))))))
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(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4504049987333233/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4503667181364907/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4503667181364907/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4503667181364907/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #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))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #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))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #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))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))
Outputs
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 0 binary64)) (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 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 (-.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 (+.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))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 0 binary64)) (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))))
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(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #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))))) #s(approx (+ (sqrt (+ 1 x)) (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 4503667181364907/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))))))
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4503667181364907/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))))
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) #s(literal 4503667181364907/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #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))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #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))))) (+.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)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (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 (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #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))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #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))))) (+.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)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (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 (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #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))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #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))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #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 (- (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) (+ (sqrt y) (sqrt x))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (+.f64 #s(literal 1 binary64) #s(approx (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) (neg.f64 (sqrt.f64 x))))))
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (- (sqrt (+ 1 x)) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) #s(approx (+ 1 (- (+ (sqrt (+ 1 z)) (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (neg.f64 (sqrt.f64 x)))))

soundness1.8s (6.9%)

Memory
12.6MiB live, 1 164.9MiB allocated
Rules
7 816×lower-+.f64
7 816×lower-+.f32
7 308×lower-fma.f64
7 308×lower-fma.f32
7 286×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080563
0134575
1689526
08050526
0104660
0164660
1826587
08787587
02497
04397
120897
2216497
0921197
0142720970
1494619830
2714719746
0807618943
0162921157
1562720001
0821919193
0147921174
1513519921
0819319065
05524159
117363889
262323889
080303682
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 5 080 to 1 943 computations (61.8% saved)

preprocess141.0ms (0.5%)

Memory
19.3MiB live, 364.2MiB allocated
Compiler

Compiled 3 656 to 586 computations (84% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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