Statistics.Math.RootFinding:ridders from math-functions-0.1.5.2

Time bar (total: 11.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze313.0ms (2.7%)

Memory
-23.3MiB live, 390.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
25%24.9%74.8%0.2%0%0%0%6
25%24.9%74.8%0.2%0%0%0%7
25%24.9%74.8%0.2%0%0%0%8
37.5%37.4%62.3%0.2%0%0%0%9
40.6%40.5%59.2%0.2%0%0%0%10
51.7%48.3%45.2%0.2%0%6.2%0%11
51.7%48.3%45.2%0.2%0%6.2%0%12
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample2.3s (19.9%)

Memory
31.2MiB live, 2 641.6MiB allocated
Samples
1.4s8 256×0valid
300.0ms2 039×0invalid
Precisions
Click to see histograms. Total time spent on operations: 926.0ms
ival-mult: 637.0ms (68.8% of total)
ival-sqrt: 169.0ms (18.3% of total)
ival-div: 59.0ms (6.4% of total)
ival-sub: 48.0ms (5.2% of total)
ival-true: 9.0ms (1% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain137.0ms (1.2%)

Memory
-27.7MiB live, 224.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1140-1(-8.26754152809536e-138 8.103884551583984e-186 6.928527455428043e-210 1.9721611665301828e-246 -6.113524915796201e-74)(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
410-0-(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
220-3(-1.0695462639790881e-244 2.4507324609960323e-70 -7.555359570733006e+111 3.431269920614411e+80 -2.763368810959996e-242)(*.f64 (*.f64 x y) z)
80-0-(-.f64 (*.f64 z z) (*.f64 t a))
00-0-a
00-0-t
00-0-z
00-0-(*.f64 x y)
00-0-(*.f64 z z)
00-0-y
00-0-(*.f64 t a)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))oflow-rescue1060
(-.f64 (*.f64 z z) (*.f64 t a))overflow106
(*.f64 t a)overflow28
(*.f64 z z)overflow88
/.f64(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))o/n380
(*.f64 x y)overflow23
(*.f64 (*.f64 x y) z)overflow53
*.f64(*.f64 (*.f64 x y) z)n*u140
-.f64(-.f64 (*.f64 z z) (*.f64 t a))nan-rescue80
(*.f64 z z)overflow88
(*.f64 t a)overflow28
sqrt.f64(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))uflow-rescue70
(-.f64 (*.f64 z z) (*.f64 t a))underflow7
(*.f64 t a)underflow34
(*.f64 z z)underflow38
*.f64(*.f64 (*.f64 x y) z)n*o50
/.f64(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))u/n30
(*.f64 x y)underflow33
(*.f64 (*.f64 x y) z)underflow38
Confusion
Predicted +Predicted -
+1030
-24129
Precision
0.8110236220472441
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+10300
-240129
Precision?
0.8110236220472441
Recall?
1.0
Freqs
test
numberfreq
0129
176
248
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms512×0valid
Compiler

Compiled 162 to 52 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 14.0ms (58% of total)
ival-sqrt: 4.0ms (16.6% of total)
ival-div: 3.0ms (12.4% of total)
ival-sub: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess181.0ms (1.6%)

Memory
38.6MiB live, 111.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093295
1260285
2625285
31662285
44345285
56481285
01214
01914
13114
25914
38914
411914
514714
619614
724914
842914
995814
10128714
11216514
12318814
13337814
14340014
15340014
0340014
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Outputs
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

(sort t a)

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune240.0ms (2.1%)

Memory
-44.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.8%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify256.0ms (2.2%)

Memory
18.7MiB live, 56.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) z)
cost-diff0
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
01948
13148
25948
38948
411948
514748
619648
724948
842948
995848
10128748
11216548
12318848
13337848
14340048
15340048
0340048
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(-.f64 (*.f64 z z) (*.f64 t a))
(*.f64 z z)
(*.f64 t a)
t
a
Outputs
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(*.f64 z (*.f64 y x))
(*.f64 y x)
x
y
z
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(*.f64 z z)
(*.f64 a t)
t
a

localize74.0ms (0.6%)

Memory
-6.5MiB live, 30.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.5937500000000002
(-.f64 (*.f64 z z) (*.f64 t a))
accuracy4.54135226166822
(*.f64 (*.f64 x y) z)
accuracy9.73828156555381
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
accuracy26.43380299165245
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
Samples
66.0ms256×0valid
Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (62.4% of total)
ival-div: 2.0ms (13.9% of total)
ival-sqrt: 2.0ms (13.9% of total)
ival-sub: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series215.0ms (1.8%)

Memory
4.6MiB live, 41.1MiB allocated
Counts
5 → 192
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ())
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Calls

15 calls:

TimeVariablePointExpression
174.0ms
x
@inf
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
4.0ms
y
@0
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
4.0ms
z
@0
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
4.0ms
a
@inf
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
3.0ms
t
@inf
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))

simplify159.0ms (1.4%)

Memory
6.3MiB live, 244.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04953663
116093591
264913573
082823461
Stop Event
iter limit
node limit
Counts
192 → 189
Calls
Call 1
Inputs
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z) (*.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 z z) y)) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))))))) a (*.f64 y x))
z
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 t (/.f64 t (pow.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t t)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(*.f64 z z)
(fma.f64 (neg.f64 a) t (*.f64 z z))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (*.f64 (*.f64 (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64))))) z) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
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z
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rewrite151.0ms (1.3%)

Memory
14.8MiB live, 215.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
01937
15637
232037
3270337
0842937
Stop Event
iter limit
node limit
iter limit
Counts
5 → 380
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(-.f64 (*.f64 z z) (*.f64 t a))
Outputs
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eval68.0ms (0.6%)

Memory
-8.9MiB live, 109.5MiB allocated
Compiler

Compiled 17 929 to 1 860 computations (89.6% saved)

prune18.0ms (0.2%)

Memory
13.9MiB live, 52.6MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New55811569
Fresh000
Picked101
Done000
Total55911570
Accuracy
95.3%
Counts
570 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 (neg.f64 x) z) y))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
29.7%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
43.0%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
70.3%
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
21.2%
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
60.0%
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z)
63.1%
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x))
60.8%
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y)
65.0%
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
59.1%
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
75.8%
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Compiler

Compiled 424 to 308 computations (27.4% saved)

simplify150.0ms (1.3%)

Memory
8.2MiB live, 46.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (neg.f64 a) t (*.f64 z z))
cost-diff0
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
cost-diff0
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
cost-diff0
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x))
cost-diff0
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
cost-diff0
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
cost-diff0
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) z)
cost-diff0
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
cost-diff0
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) z)
cost-diff0
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032231
049231
190231
2141231
3203231
4251231
5279231
6395231
7493231
8751231
91819231
102602231
113852231
124675231
134803231
144833231
154833231
165397231
175653231
185653231
195653231
205653231
215653231
05653231
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 y x)
y
x
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(neg.f64 z)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(*.f64 (neg.f64 a) t)
(neg.f64 a)
a
t
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(*.f64 z y)
z
y
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
x
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(neg.f64 a)
a
t
(*.f64 z z)
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x))
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
z
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(neg.f64 a)
a
t
(*.f64 z z)
(*.f64 y x)
y
x
Outputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 y x)
y
x
(/.f64 (*.f64 (*.f64 y x) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (*.f64 y x) z)
(*.f64 y x)
x
y
z
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(neg.f64 z)
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(*.f64 (*.f64 y x) z)
(*.f64 y x)
x
y
z
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(*.f64 (neg.f64 a) t)
(neg.f64 a)
a
t
(*.f64 (/.f64 (*.f64 z x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y)
(*.f64 z y)
z
y
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
x
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(neg.f64 a)
a
t
(*.f64 z z)
(*.f64 (/.f64 (*.f64 z x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y)
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
z
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(neg.f64 a)
a
t
(*.f64 z z)
(*.f64 y x)
y
x

localize82.0ms (0.7%)

Memory
-23.9MiB live, 96.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 a)
accuracy0.06640625
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy1.6954959488864059
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x))
accuracy26.43380299165245
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy0
(neg.f64 a)
accuracy0.0859375
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy19.971356794258302
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
accuracy26.43380299165245
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy4.54135226166822
(*.f64 (*.f64 x y) z)
accuracy9.73828156555381
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
accuracy26.43380299165245
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy41.65046667737897
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy0
(neg.f64 z)
accuracy4.54135226166822
(*.f64 (*.f64 x y) z)
accuracy9.73828156555381
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy63.19124224172561
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy0
(*.f64 y x)
accuracy15.488702447551525
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Samples
63.0ms256×0valid
Compiler

Compiled 447 to 57 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 17.0ms (58.5% of total)
ival-div: 4.0ms (13.8% of total)
ival-sqrt: 3.0ms (10.3% of total)
ival-neg: 2.0ms (6.9% of total)
ival-sub: 1.0ms (3.4% of total)
ival-add: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (0.6%)

Memory
5.2MiB live, 84.6MiB allocated
Counts
18 → 696
Calls
Call 1
Inputs
#s(alt #<batchref> (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 a) t (*.f64 z z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 a) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 a) t (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 a) t (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 a) t (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 a) t (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
7.0ms
z
@-inf
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* y x)) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (+ (* (neg a) t) (* z z)) (neg z) (- (* z z) (* t a)) (neg a))
3.0ms
z
@0
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* y x)) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (+ (* (neg a) t) (* z z)) (neg z) (- (* z z) (* t a)) (neg a))
3.0ms
x
@-inf
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* y x)) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (+ (* (neg a) t) (* z z)) (neg z) (- (* z z) (* t a)) (neg a))
3.0ms
a
@inf
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* y x)) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (+ (* (neg a) t) (* z z)) (neg z) (- (* z z) (* t a)) (neg a))
3.0ms
y
@-inf
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* y x)) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (+ (* (neg a) t) (* z z)) (neg z) (- (* z z) (* t a)) (neg a))

simplify217.0ms (1.9%)

Memory
11.4MiB live, 280.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077217504
1257017076
2691117058
0839416492
Stop Event
iter limit
node limit
Counts
696 → 687
Calls
Call 1
Inputs
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z))
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2))))))
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* -1 (* a t))
(* a (+ (* -1 t) (/ (pow z 2) a)))
(* a (+ (* -1 t) (/ (pow z 2) a)))
(* a (+ (* -1 t) (/ (pow z 2) a)))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(* -1 (* a t))
(* -1 (* a (+ t (* -1 (/ (pow z 2) a)))))
(* -1 (* a (+ t (* -1 (/ (pow z 2) a)))))
(* -1 (* a (+ t (* -1 (/ (pow z 2) a)))))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z))
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2))))))
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
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(* -1 (* a t))
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(* t (- (/ (pow z 2) t) a))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* -1 (* a t))
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(* -1 (* t (+ a (* -1 (/ (pow z 2) t)))))
(* -1 (* t (+ a (* -1 (/ (pow z 2) t)))))
(* -1 (* a t))
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(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* (sqrt (* a t)) (sqrt -1))
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(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))))))
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1))))))))))
(* -1 (* a t))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* y z)
(* y z)
(* y z)
(* y z)
(/ x z)
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z)
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2))))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (/ x z))
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
-1
(- (* -1/2 (/ (* a t) (pow z 2))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1)
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
Outputs
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x))
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x))
z
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 a (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 a (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x))
z
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 a (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 a (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x))
(/.f64 x z)
(fma.f64 (*.f64 (*.f64 t x) (/.f64 a (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 x z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 x z) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 t x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 x z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) z) (*.f64 (*.f64 x z) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))))) a (/.f64 (*.f64 (*.f64 t x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 x z))
z
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 a (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 a (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x))
#s(literal 1 binary64)
(fma.f64 (/.f64 (/.f64 (*.f64 a t) z) z) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 t z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z)))) a #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a (*.f64 z z)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z)))) a (*.f64 (/.f64 (/.f64 t z) z) #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(*.f64 z z)
(fma.f64 (neg.f64 t) a (*.f64 z z))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(*.f64 z z)
(fma.f64 (neg.f64 t) a (*.f64 z z))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(neg.f64 a)
(neg.f64 a)
(neg.f64 a)
(neg.f64 a)
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))
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(neg.f64 a)
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z
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z
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(*.f64 y x)
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(/.f64 x z)
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z
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(*.f64 y x)
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#s(literal 1 binary64)
(fma.f64 (/.f64 (/.f64 (*.f64 a t) z) z) #s(literal 1/2 binary64) #s(literal 1 binary64))
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(*.f64 z z)
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(*.f64 z z)
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(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))
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rewrite176.0ms (1.5%)

Memory
13.4MiB live, 169.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032171
049171
1153171
2740171
36402171
08017171
Stop Event
iter limit
node limit
iter limit
Counts
18 → 614
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 y x)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(*.f64 z y)
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x))
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(neg.f64 z)
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(neg.f64 a)
Outputs
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eval521.0ms (4.5%)

Memory
-133.4MiB live, 362.0MiB allocated
Compiler

Compiled 53 413 to 3 106 computations (94.2% saved)

prune78.0ms (0.7%)

Memory
2.6MiB live, 119.3MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1 689121 701
Fresh426
Picked415
Done000
Total1 697151 712
Accuracy
95.3%
Counts
1 712 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.6%
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
21.7%
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
43.0%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
70.3%
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
25.2%
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)))
30.2%
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
30.8%
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
17.3%
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
30.0%
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
21.7%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 x) z) y))
27.3%
(*.f64 (*.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal -1/2 binary64)) (*.f64 z x)) y)
58.3%
(*.f64 (*.f64 z y) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))))))
48.2%
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
17.3%
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
75.8%
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Compiler

Compiled 558 to 446 computations (20.1% saved)

simplify373.0ms (3.2%)

Memory
-17.0MiB live, 135.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 (*.f64 z y) x)
cost-diff0
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
cost-diff0
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
cost-diff0
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
cost-diff0
(/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
cost-diff0
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
cost-diff0
(*.f64 y x)
cost-diff0
(neg.f64 z)
cost-diff192
(*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
cost-diff256
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
cost-diff0
(/.f64 x z)
cost-diff0
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
cost-diff0
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) z)
cost-diff0
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041317
063315
1115315
2228313
3518311
4955311
51497311
63229311
74789311
85683311
96075311
106216311
116280311
126974311
137342311
147369311
157373311
167373311
177373311
187373311
197457311
207524311
217532311
227532311
237636311
08028311
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
(*.f64 #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
t
(/.f64 a z)
a
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 z y)
z
y
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
(/.f64 x z)
x
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(neg.f64 z)
z
(*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(*.f64 y x)
y
x
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
#s(literal -1 binary64)
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
(/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
z
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(*.f64 (neg.f64 a) t)
(neg.f64 a)
a
t
(*.f64 y x)
y
x
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(*.f64 (*.f64 z y) x)
(*.f64 z y)
z
y
x
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(*.f64 (neg.f64 a) t)
(neg.f64 a)
a
t
Outputs
(/.f64 (*.f64 (*.f64 y x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))
(*.f64 (*.f64 y x) z)
(*.f64 y x)
x
y
z
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)
(*.f64 #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
t
(/.f64 a z)
a
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
(/.f64 x z)
x
(/.f64 (*.f64 (*.f64 y x) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(neg.f64 z)
z
(*.f64 (/.f64 (neg.f64 y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x)
(*.f64 y x)
y
x
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
#s(literal -1 binary64)
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
z
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
(*.f64 (neg.f64 t) a)
(neg.f64 a)
a
t
(*.f64 y x)
y
x
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(*.f64 (*.f64 y x) z)
(*.f64 z y)
z
y
x
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
(*.f64 (neg.f64 t) a)
(neg.f64 a)
a
t

localize160.0ms (1.4%)

Memory
34.0MiB live, 152.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.7676762989573716
(*.f64 (*.f64 z y) x)
accuracy9.73828156555381
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
accuracy26.43380299165245
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy41.65046667737897
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy0.06640625
(/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
accuracy1.6954959488864059
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
accuracy26.43380299165245
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy41.65046667737897
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy0.078125
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy3.9465397635209136
(*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
accuracy9.423924923114816
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
accuracy63.19124224172561
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy0
(/.f64 x z)
accuracy0
(*.f64 z y)
accuracy18.43518561887412
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
accuracy19.971356794258302
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
accuracy3.3467732879640795
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
accuracy4.54135226166822
(*.f64 (*.f64 x y) z)
accuracy9.73828156555381
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
accuracy19.178014098811634
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
Samples
135.0ms256×0valid
Compiler

Compiled 564 to 78 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-sub: 43.0ms (51.7% of total)
ival-mult: 22.0ms (26.5% of total)
ival-div: 10.0ms (12% of total)
ival-sqrt: 4.0ms (4.8% of total)
ival-add: 2.0ms (2.4% of total)
ival-neg: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series115.0ms (1%)

Memory
-16.7MiB live, 138.4MiB allocated
Counts
21 → 840
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 z y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())) ())
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Calls

15 calls:

TimeVariablePointExpression
23.0ms
a
@0
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* (neg z) (* (* y x) (/ -1 (sqrt (- (* z z) (* t a)))))) (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (neg z) (* y x) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (+ (* (* -1/2 t) (/ a z)) z) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))))
13.0ms
y
@0
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* (neg z) (* (* y x) (/ -1 (sqrt (- (* z z) (* t a)))))) (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (neg z) (* y x) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (+ (* (* -1/2 t) (/ a z)) z) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))))
4.0ms
z
@0
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* (neg z) (* (* y x) (/ -1 (sqrt (- (* z z) (* t a)))))) (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (neg z) (* y x) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (+ (* (* -1/2 t) (/ a z)) z) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))))
3.0ms
x
@-inf
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* (neg z) (* (* y x) (/ -1 (sqrt (- (* z z) (* t a)))))) (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (neg z) (* y x) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (+ (* (* -1/2 t) (/ a z)) z) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))))
3.0ms
a
@inf
((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* (neg z) (* (* y x) (/ -1 (sqrt (- (* z z) (* t a)))))) (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (neg z) (* y x) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (+ (* (* -1/2 t) (/ a z)) z) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))))

simplify262.0ms (2.2%)

Memory
8.1MiB live, 291.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100421187
1335120615
0813419992
Stop Event
iter limit
node limit
Counts
840 → 827
Calls
Call 1
Inputs
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z))
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* -1 (/ (* x y) z))
(+ (* -1 (/ (* x y) z)) (* -1/2 (/ (* a (* t (* x y))) (pow z 3))))
(+ (* -1 (/ (* x y) z)) (* a (+ (* -1/2 (/ (* t (* x y)) (pow z 3))) (* 1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))
(+ (* -1 (/ (* x y) z)) (* a (+ (* -1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* 1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* 1/2 (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2))))))
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(/ -1 z)
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z))
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* 1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (/ 1 z))
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* a (+ (* 1/2 (* a (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* 1/2 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (/ 1 z))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* 1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* -1/2 (/ (* a t) z))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1)))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t (pow a 7))) (/ (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1))))))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* -1/2 (* (sqrt (/ t a)) (* x (* y (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1/2 (/ (* a t) z))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1)))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ t a)) (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) (pow a 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z))
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* -1 (/ (* x y) z))
(+ (* -1 (/ (* x y) z)) (* -1/2 (/ (* a (* t (* x y))) (pow z 3))))
(+ (* -1 (/ (* x y) z)) (* t (+ (* -1/2 (/ (* a (* x y)) (pow z 3))) (* 1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))
(+ (* -1 (/ (* x y) z)) (* t (+ (* -1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* 1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* 1/2 (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2))))))
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(/ -1 z)
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z))
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* 1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (/ 1 z))
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* t (+ (* 1/2 (* t (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* 1/2 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (/ 1 z))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* 1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* -1/2 (/ (* a t) z))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1)))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a (pow t 7))) (/ (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
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(* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1/2 (/ (* a t) z))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1)))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a t)) (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))) (* -1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 4) (sqrt -1))))) (pow t 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
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(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
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(* y z)
(* y z)
(* y z)
(* y z)
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))))))
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(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* 1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1))))))))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1/2 (/ (* a t) z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1)))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* 1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* y z)
(* y z)
(* y z)
(* y z)
(/ x z)
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (/ (* x y) z))
(/ (+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) z)
(/ (+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) z)
(/ (+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(/ -1 z)
(/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z)
(/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) z)
(/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) z)
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (/ x z))
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(/ (* x y) z)
(* -1 (/ (+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) z))
(* -1 (/ (+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) z))
(* -1 (/ (+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
-1
(- (* -1/2 (/ (* a t) (pow z 2))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1)
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
z
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(/ 1 z)
(* -1 (/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z))
(* -1 (/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) z))
(* -1 (/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* -1 (* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
Outputs
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
z
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t t)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
(/.f64 x z)
(fma.f64 (/.f64 (*.f64 (*.f64 t x) a) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 x z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 x z) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t x)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 x z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) z) (*.f64 (*.f64 x z) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))))) a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t x)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 x z))
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
(*.f64 (neg.f64 x) (/.f64 y z))
(fma.f64 (neg.f64 x) (/.f64 y z) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 y x) t) a)) (pow.f64 z #s(literal 3 binary64))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 (*.f64 z y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y x) t)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (neg.f64 x) (/.f64 y z)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 z y) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 (*.f64 z y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x))) a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y x) t)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (neg.f64 x) (/.f64 y z)))
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 a t) z) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 t z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z)))) a #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a (*.f64 z z)) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z)))) a (*.f64 (/.f64 t (*.f64 z z)) #s(literal 1/2 binary64))) a #s(literal 1 binary64))
z
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t t)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(*.f64 z z)
(fma.f64 (neg.f64 a) t (*.f64 z z))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
z
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
z
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t t)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(/.f64 #s(literal -1 binary64) z)
(fma.f64 (*.f64 a (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) z))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) z) (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (/.f64 #s(literal -1 binary64) z))
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(*.f64 (neg.f64 x) (/.f64 y z))
(fma.f64 (neg.f64 x) (/.f64 y z) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 y x) t) a)) (pow.f64 z #s(literal 3 binary64))))
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(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))
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#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 a t) z) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 a z) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z)))) t #s(literal 1 binary64))
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z
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z)
(*.f64 z z)
(fma.f64 (neg.f64 a) t (*.f64 z z))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z)) y) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) a) z))) t (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 t x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) a) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z)) y) x))) t (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) a) z))) t (*.f64 y x))
z
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
z
(fma.f64 (/.f64 (*.f64 a t) z) #s(literal -1/2 binary64) z)
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z)
(/.f64 #s(literal -1 binary64) z)
(fma.f64 (*.f64 a (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) z))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) z) (*.f64 (/.f64 a (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) t (/.f64 #s(literal -1 binary64) z))
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(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))
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(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))) t)
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 7 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))) t)
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))
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(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))
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(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 5 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))
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(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))
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rewrite477.0ms (4.1%)

Memory
5.5MiB live, 197.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041245
063243
1201241
21066239
09112239
Stop Event
iter limit
node limit
iter limit
Counts
21 → 623
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 z y)
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
(/.f64 x z)
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(neg.f64 z)
(*.f64 y x)
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
(/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(*.f64 (*.f64 z y) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
Outputs
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eval288.0ms (2.5%)

Memory
2.6MiB live, 384.4MiB allocated
Compiler

Compiled 55 070 to 2 872 computations (94.8% saved)

prune115.0ms (1%)

Memory
5.2MiB live, 196.9MiB allocated
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New1 610171 627
Fresh459
Picked145
Done011
Total1 615271 642
Accuracy
95.3%
Counts
1 642 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.0%
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) y)) (*.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
28.6%
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
41.6%
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
21.7%
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
43.0%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
70.4%
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z)))
70.4%
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z)))
70.3%
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
63.2%
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (*.f64 (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))))))
25.2%
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)))
69.3%
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z)) #s(literal -1/2 binary64)))
30.8%
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
30.0%
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
28.8%
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
53.6%
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
56.2%
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
54.6%
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
58.3%
(*.f64 (*.f64 z y) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))))))
48.2%
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
48.1%
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
48.2%
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
46.3%
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))))
65.0%
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))))
63.7%
(*.f64 (neg.f64 z) #s(approx (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (*.f64 (neg.f64 x) (/.f64 y z))))
63.3%
(*.f64 y (*.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
66.3%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z))) #s(literal -1 binary64)))
75.8%
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Compiler

Compiled 1 142 to 842 computations (26.3% saved)

simplify202.0ms (1.7%)

Memory
23.6MiB live, 181.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
cost-diff0
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
cost-diff0
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y))
cost-diff832
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)))
cost-diff0
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
cost-diff0
(/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
cost-diff0
(*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
cost-diff0
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
cost-diff0
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
cost-diff448
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
cost-diff0
(/.f64 x z)
cost-diff0
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
cost-diff0
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y)
cost-diff0
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) z)
cost-diff0
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z)))
cost-diff6848
(/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045373
071356
1126348
2240348
3523348
41583348
53122348
64295348
75345348
85959348
96213348
106356348
116404348
127290348
137610348
147632348
157632348
167632348
08127348
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z)))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z))
(fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z)
(/.f64 t z)
t
(/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64)))
#s(literal -1/2 binary64)
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y)
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
(/.f64 x z)
x
z
y
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 z y)
z
y
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(neg.f64 x)
x
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
(*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
(/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
x
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(*.f64 (neg.f64 a) t)
(neg.f64 a)
a
t
z
y
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)))
#s(literal -1 binary64)
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y))
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(*.f64 (neg.f64 a) t)
(neg.f64 a)
a
t
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
Outputs
(/.f64 (*.f64 z (*.f64 y x)) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))
(*.f64 z (*.f64 y x))
(*.f64 y x)
x
y
z
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(/.f64 t z)
t
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y))
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y)
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
(/.f64 x z)
x
z
y
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
(/.f64 x z)
(neg.f64 x)
x
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(/.f64 (*.f64 z x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
x
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(*.f64 (neg.f64 a) t)
(neg.f64 a)
a
t
z
y
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
#s(literal -1 binary64)
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y))
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(*.f64 (neg.f64 a) t)
(neg.f64 a)
a
t
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y

localize226.0ms (1.9%)

Memory
-39.4MiB live, 186.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.812957249982679
(*.f64 (*.f64 (neg.f64 x) z) y)
accuracy9.755760852631825
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y))
accuracy26.43380299165245
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy41.65046667737897
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy2.1038454184844295
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
accuracy16.96043817679123
(*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
accuracy26.43380299165245
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy41.65046667737897
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy0
(neg.f64 x)
accuracy0.1796875
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
accuracy18.43518561887412
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
accuracy19.971356794258302
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
accuracy0
(/.f64 x z)
accuracy7.0346712381030985
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y)
accuracy9.423924923114816
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
accuracy18.43518561887412
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
accuracy1.4789426619552257
(fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z)
accuracy4.54135226166822
(*.f64 (*.f64 x y) z)
accuracy9.73828156555381
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z)))
accuracy19.178014098811634
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z))
Samples
160.0ms256×0valid
Compiler

Compiled 656 to 86 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-neg: 77.0ms (62% of total)
ival-mult: 21.0ms (16.9% of total)
ival-div: 14.0ms (11.3% of total)
ival-sqrt: 4.0ms (3.2% of total)
ival-pow: 4.0ms (3.2% of total)
ival-add: 3.0ms (2.4% of total)
ival-sub: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series148.0ms (1.3%)

Memory
-7.1MiB live, 154.7MiB allocated
Counts
23 → 948
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #<representation binary64>) () ())
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#s(alt #<batchref> (patch (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 x) z) y) #<representation binary64>) () ())
Outputs
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((/ -1/2 (pow a -1)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) z) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* (neg x) (/ -1 z)) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* (* (/ x (sqrt (- (* z z) (* t a)))) z) y) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ -1 (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y))) (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (/ -1/2 (pow a -1))) z) (neg x) (* (* (neg x) z) y))
6.0ms
t
@inf
((/ -1/2 (pow a -1)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) z) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* (neg x) (/ -1 z)) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* (* (/ x (sqrt (- (* z z) (* t a)))) z) y) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ -1 (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y))) (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (/ -1/2 (pow a -1))) z) (neg x) (* (* (neg x) z) y))
5.0ms
x
@-inf
((/ -1/2 (pow a -1)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) z) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* (neg x) (/ -1 z)) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* (* (/ x (sqrt (- (* z z) (* t a)))) z) y) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ -1 (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y))) (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (/ -1/2 (pow a -1))) z) (neg x) (* (* (neg x) z) y))
5.0ms
x
@0
((/ -1/2 (pow a -1)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) z) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* (neg x) (/ -1 z)) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* (* (/ x (sqrt (- (* z z) (* t a)))) z) y) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ -1 (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y))) (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (/ -1/2 (pow a -1))) z) (neg x) (* (* (neg x) z) y))
4.0ms
a
@inf
((/ -1/2 (pow a -1)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) z) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* (neg x) (/ -1 z)) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* (* (/ x (sqrt (- (* z z) (* t a)))) z) y) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ -1 (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y))) (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (/ -1/2 (pow a -1))) z) (neg x) (* (* (neg x) z) y))

simplify250.0ms (2.2%)

Memory
33.2MiB live, 263.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104924236
1353223561
0806122861
Stop Event
iter limit
node limit
Counts
948 → 935
Calls
Call 1
Inputs
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(/ (* x y) z)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z))
(+ (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 3))))) (/ (* x y) z))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (/ (* x y) z))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z))
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z))
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 2))))))
(+ x (* a (+ (* 1/2 (/ (* t x) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z))
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(/ -1 (* x y))
(- (* 1/2 (/ (* a t) (* x (* y (pow z 2))))) (/ 1 (* x y)))
(- (* a (+ (* 1/8 (/ (* a (pow t 2)) (* x (* y (pow z 4))))) (* 1/2 (/ t (* x (* y (pow z 2))))))) (/ 1 (* x y)))
(- (* a (+ (* 1/2 (/ t (* x (* y (pow z 2))))) (* a (+ (* 1/16 (/ (* a (pow t 3)) (* x (* y (pow z 6))))) (* 1/8 (/ (pow t 2) (* x (* y (pow z 4))))))))) (/ 1 (* x y)))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* -1 (* (sqrt (* a t)) (/ (sqrt -1) (* x (* y z)))))
(* a (+ (* -1 (* (sqrt (/ t a)) (/ (sqrt -1) (* x (* y z))))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (* x (* y (sqrt -1))))))))
(* a (+ (* -1 (* (sqrt (/ t a)) (/ (sqrt -1) (* x (* y z))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (* x (* y (sqrt -1)))))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (* x (* y (pow (sqrt -1) 3)))))))))
(* a (+ (* -1 (* (sqrt (/ t a)) (/ (sqrt -1) (* x (* y z))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (* x (* y (sqrt -1)))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 5) (* x (* y (pow (sqrt -1) 5)))))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (* x (* y (pow (sqrt -1) 3))))))))))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1/2 (/ (* a t) z))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (* a t)) (/ (sqrt -1) (* x (* y z))))
(* -1 (* a (+ (* -1 (* (sqrt (/ t a)) (/ (sqrt -1) (* x (* y z))))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (* z (sqrt -1)) (* x y)))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ t a)) (/ (sqrt -1) (* x (* y z))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (* z (sqrt -1)) (* x y)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (* (pow z 3) (sqrt -1)) (* x y))))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ t a)) (/ (sqrt -1) (* x (* y z))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (* z (sqrt -1)) (* x y)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (* (pow z 5) (sqrt -1)) (* x y)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (* (pow z 3) (sqrt -1)) (* x y)))))))))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* -1/2 (/ (* a t) z))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(/ (* x y) z)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z))
(+ (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 3))))) (/ (* x y) z))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (/ (* x y) z))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z))
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z))
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 2))))))
(+ x (* t (+ (* 1/2 (/ (* a x) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z))
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(/ -1 (* x y))
(- (* 1/2 (/ (* a t) (* x (* y (pow z 2))))) (/ 1 (* x y)))
(- (* t (+ (* 1/8 (/ (* (pow a 2) t) (* x (* y (pow z 4))))) (* 1/2 (/ a (* x (* y (pow z 2))))))) (/ 1 (* x y)))
(- (* t (+ (* 1/2 (/ a (* x (* y (pow z 2))))) (* t (+ (* 1/16 (/ (* (pow a 3) t) (* x (* y (pow z 6))))) (* 1/8 (/ (pow a 2) (* x (* y (pow z 4))))))))) (/ 1 (* x y)))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
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(* -1 (* (sqrt (* a t)) (/ (sqrt -1) (* x (* y z)))))
(* t (+ (* -1 (* (sqrt (/ a t)) (/ (sqrt -1) (* x (* y z))))) (* -1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (* x (* y (sqrt -1))))))))
(* t (+ (* -1 (* (sqrt (/ a t)) (/ (sqrt -1) (* x (* y z))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (* x (* y (sqrt -1)))))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (* x (* y (pow (sqrt -1) 3)))))))))
(* t (+ (* -1 (* (sqrt (/ a t)) (/ (sqrt -1) (* x (* y z))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (* x (* y (sqrt -1)))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 5) (* x (* y (pow (sqrt -1) 5)))))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (* x (* y (pow (sqrt -1) 3))))))))))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1/2 (/ (* a t) z))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 4) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (* a t)) (/ (sqrt -1) (* x (* y z))))
(* -1 (* t (+ (* -1 (* (sqrt (/ a t)) (/ (sqrt -1) (* x (* y z))))) (* -1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (* z (sqrt -1)) (* x y)))))))
(* -1 (* t (+ (* -1 (* (sqrt (/ a t)) (/ (sqrt -1) (* x (* y z))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (* z (sqrt -1)) (* x y)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (* (pow z 3) (sqrt -1)) (* x y))))))))
(* -1 (* t (+ (* -1 (* (sqrt (/ a t)) (/ (sqrt -1) (* x (* y z))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (* z (sqrt -1)) (* x y)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (* (pow z 5) (sqrt -1)) (* x y)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (* (pow z 3) (sqrt -1)) (* x y)))))))))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
(* -1/2 (/ (* a t) z))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))
(+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))))))
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))))))
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
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(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))))
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(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
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(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* -1 (* (sqrt (* a t)) (/ (sqrt -1) (* x (* y z)))))
(/ (+ (* -1 (* (sqrt (* a t)) (/ (sqrt -1) (* x y)))) (* -1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (* x (* y (sqrt -1))))))) z)
(/ (+ (* -1 (* (sqrt (* a t)) (/ (sqrt -1) (* x y)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (* x (* y (sqrt -1)))))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (* x (* y (pow (sqrt -1) 3))))))))) z)
(/ (+ (* -1 (* (sqrt (* a t)) (/ (sqrt -1) (* x y)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (* x (* y (sqrt -1)))))) (* (pow z 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (* x (* y (pow (sqrt -1) 5)))))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (* x (* y (pow (sqrt -1) 3))))))))))) z)
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(* -1/2 (/ (* a t) z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
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(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
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(/ (* x y) z)
(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)
(/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) z)
(/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) z)
(/ x z)
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
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(* y z)
(* y z)
(* y z)
(* y z)
(/ x z)
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z)
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2))))))
(/ x z)
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z)
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(/ -1 (* x y))
(- (* 1/2 (/ (* a t) (* x (* y (pow z 2))))) (/ 1 (* x y)))
(- (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (* x (* y (pow z 4))))) (* 1/2 (/ (* a t) (* x (* y (pow z 2)))))) (/ 1 (* x y)))
(- (+ (* 1/16 (/ (* (pow a 3) (pow t 3)) (* x (* y (pow z 6))))) (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (* x (* y (pow z 4))))) (* 1/2 (/ (* a t) (* x (* y (pow z 2))))))) (/ 1 (* x y)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* -1 (/ (* x y) z))
(* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z))
(* -1 (/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) z))
(* -1 (/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) z))
(* -1 (/ x z))
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (/ x z))
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* -1 x)
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4)))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))))))
(* -1 (/ x z))
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(/ 1 (* x y))
(+ (* -1/2 (/ (* a t) (* x (* y (pow z 2))))) (/ 1 (* x y)))
(+ (* -1/2 (/ (* a t) (* x (* y (pow z 2))))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (* x (* y (pow z 4))))) (/ 1 (* x y))))
(+ (* -1/2 (/ (* a t) (* x (* y (pow z 2))))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (* x (* y (pow z 4))))) (+ (* -1/16 (/ (* (pow a 3) (pow t 3)) (* x (* y (pow z 6))))) (/ 1 (* x y)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 (* (/ 1 (* x (* y z))) (sqrt (- (pow z 2) (* a t)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
Outputs
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) z) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
(*.f64 y x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x))
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x
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z
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z
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(/.f64 x z)
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(*.f64 y x)
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x
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t x) a) z) x)
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(/.f64 x z)
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z
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(*.f64 y x)
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(/.f64 #s(literal -1 binary64) (*.f64 y x))
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(*.f64 z z)
(fma.f64 (neg.f64 a) t (*.f64 z z))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(fma.f64 (neg.f64 a) t (*.f64 z z))
z
(fma.f64 (/.f64 (*.f64 t a) z) #s(literal -1/2 binary64) z)
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z)
z
(fma.f64 (/.f64 (*.f64 t a) z) #s(literal -1/2 binary64) z)
(fma.f64 (/.f64 (*.f64 t a) z) #s(literal -1/2 binary64) z)
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(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
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rewrite257.0ms (2.2%)

Memory
-19.6MiB live, 228.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045296
071279
1228271
21319271
09001271
Stop Event
iter limit
node limit
iter limit
Counts
23 → 662
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z)))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y)
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
(/.f64 x z)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 z y)
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
(*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
(/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)))
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z))
(fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z)
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) z) y)
Outputs
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eval261.0ms (2.2%)

Memory
46.1MiB live, 478.3MiB allocated
Compiler

Compiled 60 547 to 3 372 computations (94.4% saved)

prune148.0ms (1.3%)

Memory
-25.3MiB live, 277.4MiB allocated
Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New1 700131 713
Fresh9817
Picked235
Done055
Total1 711291 740
Accuracy
95.3%
Counts
1 740 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.0%
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) y)) (*.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
28.6%
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
41.6%
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
21.7%
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
43.0%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
70.3%
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
70.3%
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 2 binary64)) z)) z)))
70.3%
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 t (/.f64 #s(literal -1/2 binary64) (/.f64 z a)) z)))
82.9%
(/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) z))
26.2%
(/.f64 y (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 z x)))
75.4%
(/.f64 #s(literal -1 binary64) #s(approx (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
69.3%
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z)) #s(literal -1/2 binary64)))
30.8%
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
30.0%
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
82.9%
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) x) y)
28.8%
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
56.2%
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
58.9%
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)) z) y)
39.6%
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 (neg.f64 z) z))) y) z)
54.6%
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
54.0%
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) y) z)
51.4%
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))) y) z)
48.2%
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
48.2%
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
65.0%
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))))
63.7%
(*.f64 (neg.f64 z) #s(approx (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (*.f64 (neg.f64 x) (/.f64 y z))))
65.1%
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
66.4%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) (*.f64 z (*.f64 y x)))) #s(literal -1 binary64)))
75.8%
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Compiler

Compiled 1 838 to 715 computations (61.1% saved)

regimes345.0ms (3%)

Memory
-20.3MiB live, 439.1MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (neg.f64 z) #s(approx (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (*.f64 (neg.f64 x) (/.f64 y z))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) y) z)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) y)) (*.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 (neg.f64 z) z))) y) z)
(*.f64 y (*.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) x) y)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z)))
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x))
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z)
(/.f64 y (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 z x)))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)) z) y)
(/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) z))
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 t (/.f64 #s(literal -1/2 binary64) (/.f64 z a)) z)))
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 (neg.f64 x) z) y)))
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 2 binary64)) z)) z)))
(*.f64 (*.f64 z y) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))))))
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (*.f64 (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))))))
(*.f64 (*.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal -1/2 binary64)) (*.f64 z x)) y)
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 (neg.f64 x) z) y))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z)))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))) y) z)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) (*.f64 z (*.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z)) #s(literal -1/2 binary64)))
Outputs
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) x) y)
Calls

8 calls:

118.0ms
(*.f64 x y)
56.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
40.0ms
z
38.0ms
t
30.0ms
a
Results
AccuracySegmentsBranch
82.9%1x
82.9%1y
93.9%2z
82.9%1t
82.9%1a
93.3%3(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
82.9%1(*.f64 x y)
86.3%3(*.f64 t a)
Compiler

Compiled 25 to 49 computations (-96% saved)

regimes11.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (neg.f64 z) #s(approx (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (*.f64 (neg.f64 x) (/.f64 y z))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) y) z)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) y)) (*.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 (neg.f64 z) z))) y) z)
(*.f64 y (*.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) x) y)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z)))
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
Outputs
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) x) y)
Calls

1 calls:

10.0ms
z
Results
AccuracySegmentsBranch
93.2%2z
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes25.0ms (0.2%)

Memory
-13.4MiB live, 25.7MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (neg.f64 z) #s(approx (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (*.f64 (neg.f64 x) (/.f64 y z))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) y) z)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) y)) (*.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 (neg.f64 z) z))) y) z)
(*.f64 y (*.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) x) y)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z)))
Outputs
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) x) y)
Calls

2 calls:

14.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
9.0ms
z
Results
AccuracySegmentsBranch
82.9%1(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
89.1%2z
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (neg.f64 z) #s(approx (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (*.f64 (neg.f64 x) (/.f64 y z))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) y) z)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) y)) (*.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 (neg.f64 z) z))) y) z)
(*.f64 y (*.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
Outputs
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Calls

1 calls:

8.0ms
z
Results
AccuracySegmentsBranch
87.7%2z
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes8.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (neg.f64 z) #s(approx (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (*.f64 (neg.f64 x) (/.f64 y z))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) y) z)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) y)) (*.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
Outputs
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
86.7%2z
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes27.0ms (0.2%)

Memory
-19.2MiB live, 19.6MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (neg.f64 z) #s(approx (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (*.f64 (neg.f64 x) (/.f64 y z))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) y) z)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) y)) (*.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
Outputs
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Calls

1 calls:

26.0ms
z
Results
AccuracySegmentsBranch
86.6%2z
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes8.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (neg.f64 z) #s(approx (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (*.f64 (neg.f64 x) (/.f64 y z))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) y) z)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) y)) (*.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
Outputs
(*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
85.9%2z
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes88.0ms (0.8%)

Memory
-11.1MiB live, 103.7MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(*.f64 (neg.f64 z) #s(approx (* (* y x) (/ -1 (sqrt (- (* z z) (* t a))))) (*.f64 (neg.f64 x) (/.f64 y z))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (sqrt (- (* z z) (* t a))) (* (* (neg x) z) y)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) y) z)
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) y)) (*.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
Outputs
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Calls

8 calls:

36.0ms
y
11.0ms
x
9.0ms
z
6.0ms
t
6.0ms
a
Results
AccuracySegmentsBranch
75.8%1(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
75.8%1y
75.8%1a
75.8%1t
75.8%1x
75.8%1(*.f64 x y)
75.8%1(*.f64 t a)
79.0%2z
Compiler

Compiled 25 to 49 computations (-96% saved)

regimes4.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
Outputs
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
78.9%2z
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes3.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 #s(approx (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(*.f64 (*.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
(*.f64 (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
Outputs
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
77.5%2z
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes28.0ms (0.2%)

Memory
-22.4MiB live, 16.7MiB allocated
Accuracy

Total -7.1b remaining (-45.7%)

Threshold costs -7.1b (-45.7%)

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

5 calls:

21.0ms
a
2.0ms
x
2.0ms
z
1.0ms
(*.f64 x y)
1.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Results
AccuracySegmentsBranch
75.8%1x
75.8%1a
75.8%1(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
75.8%1(*.f64 x y)
75.8%1z
Compiler

Compiled 20 to 33 computations (-65% saved)

bsearch5.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
1.2182157500207669e+110
6.572504707375377e+110
Samples
2.0ms32×0valid
0.0ms0invalid
Compiler

Compiled 91 to 82 computations (9.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (73.2% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
-9.1MiB live, 27.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.143861113242319e+60
2.8925657401020433e+62
Samples
11.0ms112×0valid
1.0ms10×0invalid
Compiler

Compiled 276 to 237 computations (14.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.5% of total)
ival-sub: 1.0ms (19.8% of total)
ival-div: 1.0ms (19.8% of total)
ival-sqrt: 1.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
6.543322664497078e-91
1.113338615712549e-90
Samples
5.0ms64×0valid
1.0ms17×0invalid
Compiler

Compiled 185 to 156 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (60.4% of total)
ival-sqrt: 1.0ms (30.2% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
6.543322664497078e-91
1.113338615712549e-90
Compiler

Compiled 165 to 144 computations (12.7% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
6.543322664497078e-91
1.113338615712549e-90
Compiler

Compiled 165 to 144 computations (12.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
6.543322664497078e-91
1.113338615712549e-90
Compiler

Compiled 165 to 144 computations (12.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
6.543322664497078e-91
1.113338615712549e-90
Compiler

Compiled 165 to 144 computations (12.7% saved)

bsearch31.0ms (0.3%)

Memory
7.7MiB live, 51.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
8.858804949884444e-209
1.0041545644078353e-199
Samples
14.0ms144×0valid
6.0ms92×0invalid
Compiler

Compiled 332 to 290 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 10.0ms (75.2% of total)
ival-sqrt: 2.0ms (15% of total)
ival-sub: 1.0ms (7.5% of total)
ival-div: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
-20.2MiB live, 18.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
8.858804949884444e-209
1.0041545644078353e-199
Samples
2.0ms32×0valid
1.0ms19×0invalid
Compiler

Compiled 332 to 290 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (49.9% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
1.9536335170608687e-183
2.161139174775099e-183
Samples
1.0ms16×0valid
1.0ms10×0invalid
Compiler

Compiled 54 to 51 computations (5.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (97.6% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify40.0ms (0.3%)

Memory
15.5MiB live, 54.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082429
1109429
2119429
3127429
4130429
5131429
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) x) y))
(if (<=.f64 z #s(literal 1150000000000000084519974862231109802836788707614935222321152 binary64)) (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) x) y))
(if (<=.f64 z #s(literal 802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) x) y))
(if (<=.f64 z #s(literal 802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 y x)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 2046824082010503/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 7411657728543295/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
Outputs
(if (<=.f64 z #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) (*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) x) y))
(if (<=.f64 z #s(literal 1150000000000000084519974862231109802836788707614935222321152 binary64)) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y z)) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) x) y))
(if (<=.f64 z #s(literal 802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) x) y))
(if (<=.f64 z #s(literal 802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) z) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) (*.f64 x y)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) z) y) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 2046824082010503/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) (/.f64 (*.f64 (*.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 7411657728543295/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 y z)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))

soundness1.5s (12.9%)

Memory
-11.2MiB live, 918.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032171
049171
1153171
2740171
36402171
08017171
077217504
1257017076
2691117058
0839416492
045296
071279
1228271
21319271
09001271
041245
063243
1201241
21066239
09112239
01237
01937
15637
232037
3270337
0842937
04953663
116093591
264913573
082823461
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 115 to 532 computations (52.3% saved)

preprocess766.0ms (6.6%)

Memory
15.6MiB live, 880.4MiB allocated
Remove

(sort t a)

(negabs y)

Compiler

Compiled 2 256 to 1 090 computations (51.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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