Falkner and Boettcher, Equation (20:1,3)

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze98.0ms (1.1%)

Memory
-4.7MiB live, 112.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%50%0.1%0%50%0%4
0%0%50%0.1%0%50%0%5
37.5%18.7%31.2%0.1%0%50%0%6
43.8%21.9%28.1%0.1%0%50%0%7
65.6%32.8%17.2%0.1%0%50%0%8
70.3%35.1%14.8%0.1%0%50%0%9
82%41%9%0.1%0%50%0%10
84.8%42.3%7.6%0.1%0%50%0%11
90.8%45.4%4.6%0.1%0%50%0%12
Compiler

Compiled 30 to 21 computations (30% saved)

sample1.5s (17%)

Memory
59.9MiB live, 2 730.5MiB allocated
Samples
1.1s8 256×0valid
5.0ms13×0invalid
Precisions
Click to see histograms. Total time spent on operations: 881.0ms
ival-mult: 507.0ms (57.6% of total)
ival-sub: 152.0ms (17.3% of total)
ival-div: 85.0ms (9.7% of total)
ival-sqrt: 72.0ms (8.2% of total)
ival-pi: 38.0ms (4.3% of total)
exact: 16.0ms (1.8% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain220.0ms (2.5%)

Memory
-6.6MiB live, 529.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
02(1.471149861486474e-162 -2.4790288402836396e-64)0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
00-0-(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-t
00-0-#s(literal 5 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
00-0-v
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
00-0-(PI.f64)
00-0-(*.f64 (PI.f64) t)
00-0-(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
00-0-(*.f64 v v)
01(1.471149861486474e-162 -2.4790288402836396e-64)0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-#s(literal 2 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
00-0-(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
70.0ms512×0valid
Compiler

Compiled 278 to 61 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 30.0ms (61.2% of total)
ival-sub: 8.0ms (16.3% of total)
ival-sqrt: 4.0ms (8.2% of total)
ival-div: 3.0ms (6.1% of total)
ival-pi: 2.0ms (4.1% of total)
ival-true: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)

preprocess227.0ms (2.6%)

Memory
-16.0MiB live, 177.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047142
1174140
2628130
34441130
01928
03228
17028
220226
391826
4471826
5743726
0812324
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (PI.f64)))
Symmetry

(abs v)

(negabs t)

Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify142.0ms (1.6%)

Memory
33.1MiB live, 151.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 v v))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
cost-diff320
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019123
032123
170123
2202113
3918113
44718113
57437113
08123105
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (PI.f64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(PI.f64)
t
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize74.0ms (0.8%)

Memory
-6.8MiB live, 70.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(*.f64 #s(literal 3 binary64) (*.f64 v v))
accuracy0.234375
(*.f64 (PI.f64) t)
accuracy0.26400375976844204
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy0.42482377930532605
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
Samples
51.0ms256×0valid
Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-pi: 23.0ms (56.3% of total)
ival-mult: 10.0ms (24.5% of total)
ival-sub: 3.0ms (7.3% of total)
ival-div: 2.0ms (4.9% of total)
ival-sqrt: 2.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.7%)

Memory
10.3MiB live, 48.9MiB allocated
Counts
8 → 120
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (patch (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 3 binary64) (*.f64 v v)) #<representation binary64>) () ())
Outputs
#s(alt 2 (taylor 0 v) (#s(alt (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (patch (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (patch (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (patch (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (patch (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* t (* (PI) (sqrt 2))) (taylor 0 v) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #<representation binary64>) () ())) ())
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#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #<representation binary64>) () ())) ())
#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
40.0ms
v
@inf
((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (* 5 (* v v)) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (PI) t) (* 3 (* v v)))
5.0ms
t
@0
((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (* 5 (* v v)) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (PI) t) (* 3 (* v v)))
3.0ms
t
@-inf
((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (* 5 (* v v)) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (PI) t) (* 3 (* v v)))
3.0ms
v
@0
((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (* 5 (* v v)) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (PI) t) (* 3 (* v v)))
3.0ms
t
@inf
((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (* 5 (* v v)) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (PI) t) (* 3 (* v v)))

simplify316.0ms (3.6%)

Memory
6.2MiB live, 278.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01952173
15762073
224131958
080281865
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
1
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* t (* (PI) (sqrt 2)))
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (fma.f64 (*.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64))) (*.f64 v v)))
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rewrite262.0ms (3%)

Memory
-3.1MiB live, 314.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01978
03278
112878
292372
0872066
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 511
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (PI.f64) t)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Outputs
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eval130.0ms (1.5%)

Memory
-8.6MiB live, 280.1MiB allocated
Compiler

Compiled 25 279 to 2 178 computations (91.4% saved)

prune20.0ms (0.2%)

Memory
-13.4MiB live, 65.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New62110631
Fresh000
Picked101
Done000
Total62210632
Accuracy
100.0%
Counts
632 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
99.5%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.5%
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 t (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.7%
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶99.6%
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
▶99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
Compiler

Compiled 462 to 322 computations (30.3% saved)

simplify226.0ms (2.6%)

Memory
20.7MiB live, 141.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
cost-diff320
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff0
(*.f64 v v)
cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 v v))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
cost-diff0
(*.f64 v v)
cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 v v))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
cost-diff320
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054490
089479
1190479
2566461
32860461
45602461
08222461
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(PI.f64)
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
t
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
t
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
t
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (PI.f64))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (PI.f64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(PI.f64)
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
t
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 t (PI.f64)))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(PI.f64)
t
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
t
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t)
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
t
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

localize206.0ms (2.4%)

Memory
-34.2MiB live, 306.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(PI.f64)
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy0.0078125
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.25
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
accuracy0.10613251953688403
(*.f64 #s(literal 5 binary64) (*.f64 v v))
accuracy0.26400375976844204
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy0.3515625
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))
accuracy0.4296875
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
accuracy0.234375
(*.f64 (PI.f64) t)
accuracy0.2459344024170655
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
accuracy0.26400375976844204
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy0.42482377930532605
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
accuracy0
(PI.f64)
accuracy0.1875
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
accuracy0.24242800472769027
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
accuracy0.26171875
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
accuracy0
(PI.f64)
accuracy0.00390625
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
accuracy0.4296875
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy0.4342575195368841
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Samples
150.0ms256×0valid
Compiler

Compiled 495 to 46 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-sqrt: 59.0ms (49.3% of total)
ival-mult: 43.0ms (35.9% of total)
ival-div: 10.0ms (8.4% of total)
ival-sub: 4.0ms (3.3% of total)
ival-add: 3.0ms (2.5% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series130.0ms (1.5%)

Memory
11.8MiB live, 171.4MiB allocated
Counts
25 → 408
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (patch (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) (patch #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (PI)) (taylor 0 v) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (PI)) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* t (* (PI) (sqrt 2)))) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) #<representation binary64>) () ())) ())
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#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
32.0ms
t
@-inf
((* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (PI) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))
12.0ms
v
@0
((* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (PI) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))
10.0ms
t
@0
((* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (PI) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))
8.0ms
v
@inf
((* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (PI) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))
6.0ms
t
@inf
((* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (PI) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))

simplify226.0ms (2.6%)

Memory
11.2MiB live, 356.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061010656
119769781
083089393
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(/ 1 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(/ 1 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* t (* (PI) (sqrt 2)))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(/ 1 t)
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
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2
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(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
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(* -5 (pow v 2))
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(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
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(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (pow v 2) t))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -1 (* t (* (pow v 3) (sqrt -6))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* t (* v (sqrt -6)))
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(* t (* v (* (PI) (sqrt -6))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -1 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
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(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* -1 (/ (sqrt -1/6) (* (pow v 3) (PI))))
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(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* t (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* -5 (/ (pow v 2) t))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* t (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))))
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -1 (* t (* v (sqrt -6))))
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* -1 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(/ (sqrt -1/6) (* (pow v 3) (PI)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
Outputs
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (/.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -53/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -241/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) v) v (/.f64 #s(literal -53/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (/.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -53/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -241/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) v) v (/.f64 #s(literal -53/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t (*.f64 (fma.f64 #s(literal -9/4 binary64) (*.f64 t (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v)))) (*.f64 v v)))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t (*.f64 (fma.f64 #s(literal -9/4 binary64) (*.f64 t (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 t (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -27/2 binary64) t) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) (*.f64 v v)))) (*.f64 v v)))) (*.f64 v v)))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) (/.f64 #s(literal -27/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(fma.f64 (/.f64 (*.f64 v v) t) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(fma.f64 (/.f64 (*.f64 v v) t) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(fma.f64 (/.f64 (*.f64 v v) t) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) t))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
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(/ (+ 1 (* -5 (pow v 2))) t)
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
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(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
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(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
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(* t (PI))
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(* t (PI))
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(* t (PI))
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(* t (PI))
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(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
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(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
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(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
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(*.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

rewrite264.0ms (3%)

Memory
-30.1MiB live, 375.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054316
089306
1328305
22496303
08423299
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 599
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(PI.f64)
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
(*.f64 (PI.f64) t)
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(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Outputs
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eval443.0ms (5.1%)

Memory
43.2MiB live, 619.6MiB allocated
Compiler

Compiled 88 913 to 5 205 computations (94.1% saved)

prune100.0ms (1.1%)

Memory
-19.0MiB live, 177.9MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New2 560122 572
Fresh505
Picked415
Done000
Total2 569132 582
Accuracy
100.0%
Counts
2 582 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.1%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.5%
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
99.1%
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))
99.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
99.3%
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
99.3%
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
▶98.5%
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
▶98.5%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
▶99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 409 to 336 computations (17.8% saved)

simplify119.0ms (1.4%)

Memory
-11.6MiB live, 170.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
cost-diff0
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
cost-diff0
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 t (PI.f64))
cost-diff0
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
cost-diff0
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063404
0101402
1198402
2493384
32258384
47010384
08203384
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(PI.f64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
t
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (PI.f64))
t
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
(PI.f64)
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
t
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) t) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(PI.f64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
t
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) t))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) t)
#s(literal 1 binary64)
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))
(*.f64 t (PI.f64))
t
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
(PI.f64)
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
t
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (PI.f64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (PI.f64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 t (PI.f64)))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(PI.f64)
t
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize124.0ms (1.4%)

Memory
23.6MiB live, 218.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(*.f64 (PI.f64) t)
accuracy0.2459344024170655
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
accuracy0.26400375976844204
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy0.42482377930532605
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
accuracy0
(PI.f64)
accuracy0.242695916893022
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
accuracy0.25
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
accuracy1.0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy0
(PI.f64)
accuracy0.24242800472769027
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
accuracy0.359375
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
accuracy0.4765625
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
accuracy0.234375
(*.f64 t (PI.f64))
accuracy0.24242800472769027
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.26171875
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.42091752930532605
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy0
(PI.f64)
accuracy0.0078125
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
accuracy0.078125
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
Samples
89.0ms256×0valid
Compiler

Compiled 386 to 54 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 32.0ms (48.5% of total)
ival-div: 15.0ms (22.7% of total)
ival-sqrt: 8.0ms (12.1% of total)
ival-add: 5.0ms (7.6% of total)
ival-sub: 4.0ms (6.1% of total)
ival-pi: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series59.0ms (0.7%)

Memory
-20.9MiB live, 94.8MiB allocated
Counts
25 → 360
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) (patch (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 t (PI.f64)) (patch (*.f64 t (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) (patch (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (patch (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 1/2 binary64)) (patch (sqrt.f64 #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (patch (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) (patch #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())
Outputs
#s(alt (/ (sqrt 1/2) (* t (PI))) (taylor 0 v) (#s(alt (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) (patch (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) (patch (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 6 (/ (sqrt 1/2) (* t (PI)))))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) (patch (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 6 (/ (sqrt 1/2) (* t (PI))))))))))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) (patch (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 1/2) (PI)) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 6 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (* 6 (/ (sqrt 1/2) (PI))))))))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (* 6 (/ (sqrt 1/2) (PI)))))))))))))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
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#s(alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* t (* (PI) (sqrt 2)))) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* t (* (PI) (sqrt 2)))) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* t (* (PI) (sqrt 2)))) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* t (* (PI) (sqrt 2)))) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
10.0ms
t
@inf
((/ (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) t) (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* 5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (PI) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ (sqrt 1/2) t) (PI)) (/ (sqrt 1/2) t) (sqrt 1/2) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (- 1 (* v v)) (PI)) (/ 1 (* (* t (PI)) (sqrt 2))) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t))
9.0ms
t
@-inf
((/ (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) t) (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* 5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (PI) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ (sqrt 1/2) t) (PI)) (/ (sqrt 1/2) t) (sqrt 1/2) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (- 1 (* v v)) (PI)) (/ 1 (* (* t (PI)) (sqrt 2))) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t))
7.0ms
t
@0
((/ (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) t) (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* 5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (PI) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ (sqrt 1/2) t) (PI)) (/ (sqrt 1/2) t) (sqrt 1/2) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (- 1 (* v v)) (PI)) (/ 1 (* (* t (PI)) (sqrt 2))) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t))
6.0ms
v
@0
((/ (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) t) (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* 5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (PI) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ (sqrt 1/2) t) (PI)) (/ (sqrt 1/2) t) (sqrt 1/2) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (- 1 (* v v)) (PI)) (/ 1 (* (* t (PI)) (sqrt 2))) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t))
5.0ms
v
@inf
((/ (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) t) (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* 5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (PI) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ (sqrt 1/2) t) (PI)) (/ (sqrt 1/2) t) (sqrt 1/2) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (- 1 (* v v)) (PI)) (/ 1 (* (* t (PI)) (sqrt 2))) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t))

simplify220.0ms (2.5%)

Memory
15.1MiB live, 294.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05869774
118808834
081848461
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 6 (/ (sqrt 1/2) (* t (PI)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 6 (/ (sqrt 1/2) (* t (PI))))))))))))))) (/ (sqrt 1/2) (* t (PI))))
(/ (sqrt 1/2) (PI))
(+ (* (pow v 2) (+ (* 6 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (* 6 (/ (sqrt 1/2) (PI))))))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (* 6 (/ (sqrt 1/2) (PI)))))))))))))) (/ (sqrt 1/2) (PI)))
1
(+ 1 (* 5 (pow v 2)))
(+ 1 (* 5 (pow v 2)))
(+ 1 (* 5 (pow v 2)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(/ 1 t)
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
1
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(* t (* (PI) (sqrt 2)))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2))))))))))
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(PI)
(+ (PI) (* -1 (* (pow v 2) (PI))))
(+ (PI) (* -1 (* (pow v 2) (PI))))
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(/ (sqrt 1/2) (PI))
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(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI)))
(* t (* (PI) (sqrt 2)))
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(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))
2
(+ 2 (* -6 (pow v 2)))
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(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))))) v)
(/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/6 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))))) v)
(/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (+ (/ 1/6 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (* 1/6 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))))))))) v)
(* -5 (/ (sqrt -1/6) (* v (PI))))
(/ (+ (* -6 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -5 (/ (sqrt -1/6) (PI))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (+ (* -6 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -6 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/6 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) v)
(/ (+ (* -6 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -6 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -6 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/6 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/6 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) v)
(* 5 (pow v 2))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (pow v 2) t))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -1 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2))))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))))
(* -1 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* -1 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))))) v))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/6 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))))) v))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (+ (/ 1/6 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (* 1/6 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))))))))) v))
(* 5 (/ (sqrt -1/6) (* v (PI))))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -5 (/ (sqrt -1/6) (PI))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -6 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/6 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) v))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -6 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -6 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/6 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/6 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) v))
(* 5 (pow v 2))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
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(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(+ (* (pow v 2) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 6 (/ (sqrt 1/2) (* t (PI)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 6 (/ (sqrt 1/2) (* t (PI))))))))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (+.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 81/8 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal 135/32 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(/ (sqrt 1/2) (PI))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(+ (* (pow v 2) (+ (* 6 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))
(fma.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 6 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) v) v (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (* 6 (/ (sqrt 1/2) (PI))))))))) (/ (sqrt 1/2) (PI)))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 6 binary64) (/.f64 #s(literal 9/2 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 27/16 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 6 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (* 6 (/ (sqrt 1/2) (PI)))))))))))))) (/ (sqrt 1/2) (PI)))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 81/8 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 6 binary64) (/.f64 #s(literal 9/2 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 135/32 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 6 binary64) (/.f64 #s(literal 9/2 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 27/16 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 6 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (* 5 (pow v 2)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* 5 (pow v 2)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* 5 (pow v 2)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (/.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -53/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -241/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) v) v (/.f64 #s(literal -53/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (+.f64 (/.f64 #s(literal -27/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) (/.f64 #s(literal 135/32 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (+.f64 (/.f64 #s(literal -27/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) (/.f64 #s(literal 135/32 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(fma.f64 (/.f64 (*.f64 v v) t) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(fma.f64 (/.f64 (*.f64 v v) t) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(fma.f64 (/.f64 (*.f64 v v) t) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) t))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (/.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -53/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -241/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) v) v (/.f64 #s(literal -53/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
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(* t (PI))
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rewrite197.0ms (2.2%)

Memory
21.2MiB live, 212.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063319
0101317
1373317
22541313
08440308
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 972
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
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(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
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#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
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(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
(*.f64 (PI.f64) t)
Outputs
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eval237.0ms (2.7%)

Memory
-8.9MiB live, 330.6MiB allocated
Compiler

Compiled 45 138 to 4 396 computations (90.3% saved)

prune107.0ms (1.2%)

Memory
-20.5MiB live, 122.4MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1 59371 600
Fresh347
Picked235
Done011
Total1 598151 613
Accuracy
100.0%
Counts
1 613 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.1%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.1%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
▶99.5%
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
▶99.3%
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
99.3%
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
✓98.5%
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
99.2%
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
▶98.5%
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
✓98.5%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
▶98.5%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
▶98.5%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
✓99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
✓99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 369 to 325 computations (11.9% saved)

simplify129.0ms (1.5%)

Memory
20.5MiB live, 138.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
cost-diff0
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
cost-diff320
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
cost-diff0
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff0
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
cost-diff0
#s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t)
cost-diff0
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 t (PI.f64))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
cost-diff0
(*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff384
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057382
085372
1152372
2314370
31119370
44561370
57977370
08355370
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
(PI.f64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
t
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 t (PI.f64))
t
(PI.f64)
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t)
#s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
t
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
t
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(PI.f64)
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64)) (*.f64 t #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
(PI.f64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
t
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 t (PI.f64))
t
(PI.f64)
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t))
(/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t)
#s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
t
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
#s(literal 1 binary64)
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
t
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(PI.f64)
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t

localize119.0ms (1.4%)

Memory
5.3MiB live, 162.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
accuracy0.2402411105095257
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
accuracy0.43359375
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy0.4342575195368841
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
accuracy0.24242800472769027
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
accuracy0.28515625
(/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
accuracy0.359375
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
accuracy0.4140625
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
accuracy0.242695916893022
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
accuracy0.25
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
accuracy0.25169194609513723
#s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64))
accuracy1.0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy0
(PI.f64)
accuracy0.234375
(*.f64 t (PI.f64))
accuracy0.24242800472769027
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
accuracy0.521816259768442
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
accuracy0
(PI.f64)
accuracy0.0078125
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy0.078125
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
accuracy0.23082919640267147
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
Samples
87.0ms256×0valid
Compiler

Compiled 355 to 48 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-div: 25.0ms (37.8% of total)
ival-mult: 24.0ms (36.3% of total)
ival-sqrt: 5.0ms (7.6% of total)
ival-pi: 4.0ms (6% of total)
ival-add: 4.0ms (6% of total)
ival-sub: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory
-3.4MiB live, 72.1MiB allocated
Counts
26 → 360
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) (patch (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 1/2 binary64)) (patch (sqrt.f64 #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 t (PI.f64)) (patch (*.f64 t (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (patch (*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) (patch (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)) #<representation binary64>) () ())
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#s(alt (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation binary64>) () ())
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#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (patch #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (patch (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (patch (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #<representation binary64>) () ())
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Outputs
#s(alt (/ (sqrt 1/2) (* t (PI))) (taylor 0 v) (#s(alt (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) (patch (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (* (PI) (sqrt 2)) (taylor 0 v) (#s(alt (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))) (taylor 0 v) (#s(alt (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))) (taylor 0 v) (#s(alt (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))))))))) (taylor 0 v) (#s(alt (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 1/2) (* t (PI))) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 1/2) (* t (PI))) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (patch (*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (patch (*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (patch (*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (patch (*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 t) (taylor 0 v) (#s(alt (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) (patch (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t)) (taylor 0 v) (#s(alt (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) (patch (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #<representation binary64>) () ())) ())
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#s(alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t)) (taylor 0 v) (#s(alt (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) (patch (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
5.0ms
t
@-inf
((/ (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) t) (+ (* 5 (* v v)) 1) (* v v) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (sqrt 1/2) (* t (PI)) (PI) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ 1 (/ t (sqrt 1/2))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ 1 (/ t (sqrt 1/2))) (PI)) (/ t (sqrt 1/2)) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* (- 1 (* v v)) (PI)) (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt 1/2) (* t (PI))) (/ (sqrt 1/2) (PI)) (* (sqrt 2) t) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
4.0ms
v
@-inf
((/ (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) t) (+ (* 5 (* v v)) 1) (* v v) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (sqrt 1/2) (* t (PI)) (PI) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ 1 (/ t (sqrt 1/2))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ 1 (/ t (sqrt 1/2))) (PI)) (/ t (sqrt 1/2)) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* (- 1 (* v v)) (PI)) (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt 1/2) (* t (PI))) (/ (sqrt 1/2) (PI)) (* (sqrt 2) t) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
4.0ms
t
@inf
((/ (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) t) (+ (* 5 (* v v)) 1) (* v v) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (sqrt 1/2) (* t (PI)) (PI) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ 1 (/ t (sqrt 1/2))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ 1 (/ t (sqrt 1/2))) (PI)) (/ t (sqrt 1/2)) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* (- 1 (* v v)) (PI)) (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt 1/2) (* t (PI))) (/ (sqrt 1/2) (PI)) (* (sqrt 2) t) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
4.0ms
t
@0
((/ (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) t) (+ (* 5 (* v v)) 1) (* v v) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (sqrt 1/2) (* t (PI)) (PI) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ 1 (/ t (sqrt 1/2))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ 1 (/ t (sqrt 1/2))) (PI)) (/ t (sqrt 1/2)) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* (- 1 (* v v)) (PI)) (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt 1/2) (* t (PI))) (/ (sqrt 1/2) (PI)) (* (sqrt 2) t) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
2.0ms
v
@inf
((/ (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) t) (+ (* 5 (* v v)) 1) (* v v) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (sqrt 1/2) (* t (PI)) (PI) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ 1 (/ t (sqrt 1/2))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ 1 (/ t (sqrt 1/2))) (PI)) (/ t (sqrt 1/2)) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* (- 1 (* v v)) (PI)) (/ (+ (* 5 (* v v)) 1) (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt 1/2) (* t (PI))) (/ (sqrt 1/2) (PI)) (* (sqrt 2) t) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))

simplify275.0ms (3.1%)

Memory
13.5MiB live, 289.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05099530
116238460
267708444
080618056
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 6 (/ (sqrt 1/2) (* t (PI)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 6 (/ (sqrt 1/2) (* t (PI))))))))))))))) (/ (sqrt 1/2) (* t (PI))))
1
(+ 1 (* 5 (pow v 2)))
(+ 1 (* 5 (pow v 2)))
(+ 1 (* 5 (pow v 2)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(/ 1 t)
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(/ (sqrt 1/2) (PI))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI)))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(/ 1 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(/ 1 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(PI)
(+ (PI) (* -1 (* (pow v 2) (PI))))
(+ (PI) (* -1 (* (pow v 2) (PI))))
(+ (PI) (* -1 (* (pow v 2) (PI))))
(/ (sqrt 1/2) (PI))
(+ (* (pow v 2) (+ (* 6 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (* 6 (/ (sqrt 1/2) (PI))))))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* 6 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 9/2 (/ 1 (* (PI) (sqrt 1/2)))) (* 6 (/ (sqrt 1/2) (PI)))))))))))))) (/ (sqrt 1/2) (PI)))
(* t (sqrt 2))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2)))))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3))))))))))))
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))))) v)
(/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/6 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))))) v)
(/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (+ (/ 1/6 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (* 1/6 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))))))))) v)
(* 5 (pow v 2))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
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(* -5 (/ (pow v 2) t))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -1 (/ (sqrt -1/6) (* (pow v 3) (PI))))
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(* -5 (pow v 2))
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(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -1 (* (pow v 2) (PI)))
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(/ (+ (* -6 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -6 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/6 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) v)
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(* -1 (* t (* (pow v 3) (sqrt -6))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))))) v))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/6 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))))) v))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* -6 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (+ (/ 1/6 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (* 1/6 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))))))))) v))
(* 5 (pow v 2))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(* (pow v 2) (+ 5 (/ 1 (pow v 2))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* (pow v 3) (* (PI) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
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(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
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(* -5 (/ (pow v 2) t))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(/ (sqrt -1/6) (* (pow v 3) (PI)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)))
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(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -1 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* 5 (/ (sqrt -1/6) (* v (PI))))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -5 (/ (sqrt -1/6) (PI))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -6 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/6 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) v))
(* -1 (/ (+ (* -6 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -6 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -6 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/6 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/6 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) v))
(* t (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ t (sqrt 1/2))
(/ t (sqrt 1/2))
(/ t (sqrt 1/2))
(/ t (sqrt 1/2))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ t (sqrt 1/2))
(/ t (sqrt 1/2))
(/ t (sqrt 1/2))
(/ t (sqrt 1/2))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ t (sqrt 1/2))
(/ t (sqrt 1/2))
(/ t (sqrt 1/2))
(/ t (sqrt 1/2))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(+ (* (pow v 2) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 6 (/ (sqrt 1/2) (* t (PI)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (+ (* 6 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 9/2 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 6 (/ (sqrt 1/2) (* t (PI))))))))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (+.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 81/8 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal 135/32 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (fma.f64 (/.f64 #s(literal 6 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (* 5 (pow v 2)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* 5 (pow v 2)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* 5 (pow v 2)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* (PI) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))
(fma.f64 (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) v) v (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64))) v) v (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 v v) (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(/ (sqrt 1/2) (* t (PI)))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (PI.f64) t)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (PI.f64) t)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (PI.f64) t)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))

rewrite137.0ms (1.6%)

Memory
14.0MiB live, 167.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057337
085331
1298325
22012323
08708323
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 911
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 t (PI.f64))
(PI.f64)
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t)
#s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64))
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
Outputs
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eval235.0ms (2.7%)

Memory
-0.4MiB live, 300.3MiB allocated
Compiler

Compiled 34 025 to 3 890 computations (88.6% saved)

prune85.0ms (1%)

Memory
-19.5MiB live, 114.2MiB allocated
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New1 52471 531
Fresh336
Picked325
Done044
Total1 530161 546
Accuracy
100.0%
Counts
1 546 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.1%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
99.1%
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 t #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
99.5%
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) t)
99.1%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
99.3%
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
99.1%
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
✓98.5%
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
✓98.5%
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
99.2%
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
✓98.5%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓98.5%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
98.5%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
✓99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
✓99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 857 to 337 computations (60.7% saved)

regimes59.0ms (0.7%)

Memory
22.5MiB live, 93.4MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) t)
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 t #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 t (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Calls

5 calls:

14.0ms
t
12.0ms
(*.f64 v v)
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
10.0ms
(*.f64 (PI.f64) t)
10.0ms
v
Results
AccuracySegmentsBranch
99.7%1v
99.7%1t
99.7%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.7%1(*.f64 v v)
99.7%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes56.0ms (0.6%)

Memory
4.7MiB live, 91.7MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) t)
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 t #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
Calls

5 calls:

14.0ms
t
13.0ms
(*.f64 (PI.f64) t)
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
9.0ms
v
8.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.6%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.6%1v
99.6%1t
99.6%1(*.f64 v v)
99.6%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes55.0ms (0.6%)

Memory
-16.2MiB live, 96.4MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) t)
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 t #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Calls

5 calls:

13.0ms
(*.f64 (PI.f64) t)
13.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
11.0ms
v
9.0ms
t
8.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.5%1v
99.5%1t
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.5%1(*.f64 v v)
99.5%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes49.0ms (0.6%)

Memory
9.7MiB live, 90.7MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) t)
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 t #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t)
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) t)
Calls

5 calls:

12.0ms
(*.f64 v v)
10.0ms
t
9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
8.0ms
(*.f64 (PI.f64) t)
8.0ms
v
Results
AccuracySegmentsBranch
99.5%1v
99.5%1t
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.5%1(*.f64 v v)
99.5%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes28.0ms (0.3%)

Memory
-11.2MiB live, 61.7MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
Outputs
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
Calls

5 calls:

8.0ms
v
6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
5.0ms
(*.f64 (PI.f64) t)
5.0ms
t
4.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.3%1v
99.3%1t
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.3%1(*.f64 v v)
99.3%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes18.0ms (0.2%)

Memory
4.8MiB live, 50.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
(*.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
Calls

5 calls:

6.0ms
t
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
3.0ms
(*.f64 (PI.f64) t)
3.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.1%1t
99.1%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.1%1(*.f64 (PI.f64) t)
99.1%1v
99.1%1(*.f64 v v)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes11.0ms (0.1%)

Memory
-3.4MiB live, 36.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
Calls

5 calls:

3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
2.0ms
(*.f64 (PI.f64) t)
2.0ms
t
2.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.1%1v
99.1%1t
99.1%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.1%1(*.f64 v v)
99.1%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes7.0ms (0.1%)

Memory
16.9MiB live, 16.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
Calls

5 calls:

2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
1.0ms
(*.f64 (PI.f64) t)
1.0ms
t
1.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.5%1v
98.5%1(*.f64 v v)
98.5%1t
98.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.5%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

simplify26.0ms (0.3%)

Memory
5.2MiB live, 44.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077248
198248
2105248
3109248
4111248
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) t)
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
Outputs
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) t)
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))

soundness1.6s (18%)

Memory
-9.4MiB live, 713.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061010656
119769781
083089393
05099530
116238460
267708444
080618056
05869774
118808834
081848461
054316
089306
1328305
22496303
08423299
063319
0101317
1373317
22541313
08440308
01978
03278
112878
292372
0872066
01952173
15762073
224131958
080281865
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 384 to 253 computations (34.1% saved)

preprocess140.0ms (1.6%)

Memory
-18.2MiB live, 179.2MiB allocated
Remove

(negabs t)

(abs v)

Compiler

Compiled 782 to 452 computations (42.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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