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

Time bar (total: 10.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze59.0ms (0.6%)

Memory
-16.3MiB live, 66.0MiB 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)

sample1.4s (13.8%)

Memory
30.7MiB live, 1 822.3MiB allocated
Samples
965.0ms8 256×0valid
1.0ms8×0invalid
Precisions
Click to see histograms. Total time spent on operations: 770.0ms
ival-mult: 433.0ms (56.2% of total)
ival-sub: 126.0ms (16.4% of total)
ival-sqrt: 105.0ms (13.6% of total)
ival-div: 52.0ms (6.8% of total)
ival-pi: 31.0ms (4% of total)
exact: 14.0ms (1.8% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain401.0ms (3.9%)

Memory
10.4MiB live, 328.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.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)
00-0-(*.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
84.0ms512×0valid
Compiler

Compiled 401 to 139 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 45.0ms (72.3% of total)
ival-sub: 7.0ms (11.2% of total)
ival-sqrt: 4.0ms (6.4% of total)
ival-div: 3.0ms (4.8% of total)
ival-pi: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess199.0ms (1.9%)

Memory
-11.1MiB live, 186.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 098×lower-*.f32
5 084×lower-*.f64
4 848×lower-fma.f64
4 848×lower-fma.f32
3 484×lower-/.f32
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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.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)

simplify199.0ms (1.9%)

Memory
-13.7MiB live, 145.6MiB 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))))
Rules
5 098×lower-*.f32
5 084×lower-*.f64
4 848×lower-fma.f64
4 848×lower-fma.f32
3 484×lower-/.f32
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))

localize66.0ms (0.6%)

Memory
17.3MiB live, 130.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.18816376953688402
(*.f64 #s(literal 5 binary64) (*.f64 v v))
accuracy0.20703125
(/.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))))
accuracy0.2421875
(*.f64 (PI.f64) t)
accuracy0.4834175293053261
(*.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
54.0ms256×0valid
Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 22.0ms (71.4% of total)
ival-sub: 3.0ms (9.7% of total)
ival-div: 2.0ms (6.5% of total)
ival-sqrt: 2.0ms (6.5% of total)
ival-pi: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-6.1MiB live, 75.7MiB allocated
Counts
7 → 108
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 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<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>) () ())
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)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
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)))))) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))
7.0ms
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)))))) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* 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)))))) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* 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)))))) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* 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)))))) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))

simplify286.0ms (2.8%)

Memory
-65.3MiB live, 349.8MiB allocated
Algorithm
1×egg-herbie
Rules
23 106×lower-fma.f64
23 106×lower-fma.f32
5 894×lower-*.f64
5 894×lower-*.f32
3 560×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01952113
15762013
224151898
080301805
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
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)))))
(* -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)
(* -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))
(* (* 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))
(* (/ (- 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))) (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))
(* (/ (- 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))) (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))
(* (/ (- 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))))))
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)))
(+ (* 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)))))))))
(fma.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) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (fma.f64 #s(literal -9/8 binary64) t (*.f64 #s(literal -27/16 binary64) (*.f64 t (*.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 (*.f64 #s(literal -5/2 binary64) v) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 v (PI.f64)) (/.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 (*.f64 #s(literal -53/8 binary64) v) t) (/.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (fma.f64 #s(literal -241/16 binary64) (*.f64 v v) #s(literal -53/8 binary64))) (*.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)))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
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(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))

rewrite246.0ms (2.4%)

Memory
0.8MiB live, 279.7MiB allocated
Rules
6 648×lower-fma.f64
6 648×lower-fma.f32
6 256×lower-*.f32
6 242×lower-*.f64
3 752×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01973
03273
112873
292367
0872061
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 505
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 (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 (*.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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) v)) v #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 v #s(literal 3 binary64))) (neg.f64 v) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 v) v)) #s(literal 3 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal -3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 6 binary64) (*.f64 (neg.f64 v) v) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))))) (+.f64 (pow.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))))
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(+.f64 (*.f64 (/.f64 (/.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))) t)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) (*.f64 (/.f64 (/.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))) t)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (/.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))) t)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.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))) t)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -5 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))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))) (*.f64 #s(literal -5 binary64) (*.f64 v v))))
(+.f64 (/.f64 (*.f64 #s(literal -5 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 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -5 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 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))) (/.f64 (*.f64 #s(literal -5 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))))))

eval171.0ms (1.6%)

Memory
-1.0MiB live, 200.6MiB allocated
Compiler

Compiled 24 759 to 2 139 computations (91.4% saved)

prune166.0ms (1.6%)

Memory
19.5MiB live, 173.1MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New60310613
Fresh000
Picked101
Done000
Total60410614
Accuracy
100.0%
Counts
614 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.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)))))
99.4%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64))))
▶99.4%
(/.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)))))
▶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))))
▶98.2%
(/.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))))
98.4%
(/.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))))
99.6%
(/.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)))))
99.4%
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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))))))
▶99.6%
(*.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))))))
▶98.4%
#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 452 to 318 computations (29.6% saved)

simplify144.0ms (1.4%)

Memory
2.8MiB live, 121.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 t (PI.f64))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
(/.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)))))
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 (*.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
(*.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 (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)) 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))))))
Rules
5 668×lower-*.f32
5 638×lower-*.f64
3 120×lower-/.f32
3 106×lower-/.f64
2 710×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053474
087473
1179467
2526449
32588449
46438449
08155449
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)) 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)
#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)) (*.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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (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)
(*.f64 t (PI.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 #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 (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)) (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)) (PI.f64))
(/.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 (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 (-.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)
#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 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(-.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 (PI.f64) t))
(*.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 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (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)) (PI.f64))
(-.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 (PI.f64) t) (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)) (*.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 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (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)) (PI.f64))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (PI.f64)) 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)
(*.f64 t (PI.f64))
(*.f64 (PI.f64) t)
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 (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 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)

localize164.0ms (1.6%)

Memory
19.0MiB live, 252.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy0.2421875
(*.f64 t (PI.f64))
accuracy0.29296875
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64)))
accuracy0.44664003907376815
(/.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)))))
accuracy0.18816376953688402
(*.f64 #s(literal 5 binary64) (*.f64 v v))
accuracy0.20703125
(/.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))))
accuracy0.28125
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))
accuracy0.3828125
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
accuracy0.20703125
(/.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))))
accuracy0.2421875
(*.f64 (PI.f64) t)
accuracy0.4834175293053261
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
accuracy0.8343815004307629
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
accuracy0
(PI.f64)
accuracy0.19140625
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
accuracy0.203125
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
accuracy0.8110562917372246
#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)))
accuracy0.0078125
(/.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)))))
accuracy0.015625
(*.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))))
accuracy0.01953125
(*.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))))))
Samples
99.0ms256×0valid
Compiler

Compiled 478 to 45 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 49.0ms (66.3% of total)
ival-div: 10.0ms (13.5% of total)
ival-sqrt: 7.0ms (9.5% of total)
ival-sub: 4.0ms (5.4% of total)
ival-add: 2.0ms (2.7% of total)
ival-pi: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series106.0ms (1%)

Memory
-12.4MiB live, 145.1MiB allocated
Counts
27 → 444
Calls
Call 1
Inputs
#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 (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 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<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 (*.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)) (*.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))))) (patch (/.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))))) #<representation binary64>) () ())
#s(alt (*.f64 t (PI.f64)) (patch (*.f64 t (PI.f64)) #<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 (*.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 (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 #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>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<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 (*.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 (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<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 (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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #<representation binary64>) () ())
#s(alt (*.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 #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 (/ (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)) 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 (+ (* (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 (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 (+ (* (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 (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 (+ (* (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 (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 (/ 1 t) (taylor 0 v) (#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>) () ())) ())
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#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))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
27.0ms
v
@inf
((* (/ (+ (* -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) (/ (- 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))) (* 5 (* v v)) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* t (PI)) (* (PI) (- 1 (* v v))) (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (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)))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))
24.0ms
t
@-inf
((* (/ (+ (* -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) (/ (- 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))) (* 5 (* v v)) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* t (PI)) (* (PI) (- 1 (* v v))) (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (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)))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))
12.0ms
v
@0
((* (/ (+ (* -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) (/ (- 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))) (* 5 (* v v)) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* t (PI)) (* (PI) (- 1 (* v v))) (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (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)))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))
8.0ms
t
@0
((* (/ (+ (* -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) (/ (- 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))) (* 5 (* v v)) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* t (PI)) (* (PI) (- 1 (* v v))) (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (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)))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))
6.0ms
t
@inf
((* (/ (+ (* -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) (/ (- 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))) (* 5 (* v v)) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v))) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* t (PI)) (* (PI) (- 1 (* v v))) (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (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)))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))

simplify297.0ms (2.9%)

Memory
25.2MiB live, 438.3MiB allocated
Algorithm
1×egg-herbie
Rules
14 044×lower-fma.f64
14 044×lower-fma.f32
7 472×lower-*.f64
7 472×lower-*.f32
5 318×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072511759
1235110872
0830610459
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(/ (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)))
(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)))
(* 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) (+ (* -3/2 (* 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))))))))))
(+ (* 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)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 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))))
(PI)
(+ (PI) (* -1 (* (pow v 2) (PI))))
(+ (PI) (* -1 (* (pow v 2) (PI))))
(+ (PI) (* -1 (* (pow v 2) (PI))))
(* (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) (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)))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (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)))))
(* t (sqrt 2))
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2)))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))
(* t (* (PI) (sqrt 2)))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (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))))
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(/ 1 (* t (PI)))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(sqrt 2)
(+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
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(* 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)
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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))
(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 (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 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* -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 (* 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)
(* -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 (* (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)))))))))
(* -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))
(* -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 (* (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)
(* 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)
(* -5 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* -1 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (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))
(* -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))
(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))
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(* t (* (pow v 3) (* (PI) (sqrt -6))))
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(* (/ (+ 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))
(* (* 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))
(* (/ (- 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 (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)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* 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)
(* (/ (- 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)))
(* (* 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)))))
(* (* 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))))))
(* 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)))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* (/ (- 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 (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)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
Outputs
(/ (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 135/32 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) (/.f64 #s(literal -27/4 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))
(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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) #s(literal -241/16 binary64)) 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))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 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)
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -5/2 binary64)) v) v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(+ (* 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))))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal 3/8 binary64)) v) v (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -5/2 binary64))) (*.f64 v v)))
(+ (* 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)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -9/16 binary64)) v) v (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal 3/8 binary64))) (*.f64 v v) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -5/2 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 (*.f64 (neg.f64 t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (*.f64 #s(literal -9/4 binary64) (/.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 (*.f64 (neg.f64 t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/2 binary64) t) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 t (*.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 (*.f64 #s(literal 3 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (*.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) (*.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) (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))))
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(+ (* (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))))
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2
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(* t (* (PI) (sqrt 2)))
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(* t (sqrt 2))
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(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
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(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (- 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))
(* (* t (* (PI) (- 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))
(* (* t (* (PI) (- 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))
(* (* t (* (PI) (- 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) 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))))
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) 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)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (PI.f64))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (PI.f64))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (PI.f64))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (PI.f64))

rewrite328.0ms (3.2%)

Memory
-28.3MiB live, 510.5MiB allocated
Rules
4 392×lower-/.f32
4 378×lower-/.f64
4 144×lower-*.f32
4 114×lower-*.f64
3 306×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053344
087338
1320338
22432335
08327330
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 1 589
Calls
Call 1
Inputs
(*.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))
(*.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 #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 (*.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 t (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.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 #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)))))
(PI.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 (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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
(*.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 (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))))
Outputs
(*.f64 (pow.f64 (/.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))) (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 (PI.f64)) t) #s(literal -1 binary64)))
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(fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 v) v) (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))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (neg.f64 v) v)))

eval623.0ms (6%)

Memory
36.8MiB live, 733.1MiB allocated
Compiler

Compiled 89 669 to 5 313 computations (94.1% saved)

prune451.0ms (4.3%)

Memory
-19.3MiB live, 586.8MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2 585132 598
Fresh235
Picked415
Done000
Total2 591172 608
Accuracy
100.0%
Counts
2 608 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.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))))
99.4%
(/.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)))))
99.4%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64))))
98.2%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))))
▶98.3%
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
98.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
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))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (PI.f64)))
▶98.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
98.4%
(/.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)))
▶99.6%
(/.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)))))
98.4%
(*.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))))))
98.4%
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) #s(approx (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
▶97.7%
(*.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))))
97.8%
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓98.4%
#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)))
98.2%
#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))))
▶98.2%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 581 to 462 computations (20.5% saved)

simplify174.0ms (1.7%)

Memory
30.0MiB live, 189.7MiB 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)) (PI.f64))
cost-diff384
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff0
(*.f64 (PI.f64) (*.f64 t (*.f64 (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
(*.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
(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
(PI.f64)
cost-diff0
(*.f64 (PI.f64) t)
cost-diff0
(*.f64 (*.f64 (PI.f64) t) (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 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
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))
cost-diff384
(/.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)))))
Rules
6 860×lower-*.f32
6 836×lower-*.f64
3 168×lower-fma.f32
3 162×lower-fma.f64
3 046×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062498
099491
1194491
2515455
32359455
46226455
08584455
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 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 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))
#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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (*.f64 (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 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(PI.f64)
(*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
t
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(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 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) (-.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)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #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(literal 5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(PI.f64)
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) 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)
t
(-.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)))))
(/.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 (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 (*.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 (PI.f64) t) (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))) t) (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64))
#s(literal 1 binary64)
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(PI.f64)
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 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 #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 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t))
(/.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
#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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(-.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 (PI.f64) (*.f64 t (*.f64 (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))))
(PI.f64)
(*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
t
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(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 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) t) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* 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)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 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 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) 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)
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize252.0ms (2.4%)

Memory
-46.9MiB live, 169.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
accuracy0.37337875976844204
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t))
accuracy0.3828125
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)
accuracy0.8343815004307629
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
accuracy0.20703125
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
accuracy0.2734375
(*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
accuracy0.3671875
(*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy0.8343815004307629
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
accuracy0.0078125
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
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))))
accuracy0.8207994862124546
#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))
accuracy0.203125
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.2421875
(*.f64 (PI.f64) t)
accuracy0.4873237793053261
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.8110562917372246
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.00390625
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.00390625
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy0.35775375976844204
(/.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)))))
accuracy0.3828125
(*.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
154.0ms256×0valid
Compiler

Compiled 476 to 53 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 26.0ms (46.9% of total)
ival-div: 14.0ms (25.3% of total)
ival-sqrt: 6.0ms (10.8% of total)
ival-add: 3.0ms (5.4% of total)
ival-sub: 3.0ms (5.4% of total)
ival-pi: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series122.0ms (1.2%)

Memory
5.8MiB live, 82.6MiB allocated
Counts
28 → 456
Calls
Call 1
Inputs
#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 (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 #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (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 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<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 (*.f64 v v) (patch (*.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 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (patch (*.f64 (PI.f64) (*.f64 t (*.f64 (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 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<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 (*.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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (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 #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 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (*.f64 t (*.f64 (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 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (*.f64 (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 (PI.f64) (*.f64 t (*.f64 (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 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (patch (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) (patch (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) #<representation binary64>) () ())
Outputs
#s(alt (/ (sqrt 1/2) (* t (PI))) (taylor 0 v) (#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 (+ (* (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 (/.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 (+ (* (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 (/.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 (+ (* (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 (/.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 (/ 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>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
35.0ms
t
@inf
((/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt 2)) (* (PI) t) (PI) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (* v v) (- 1 (* 5 (* v v))) (* 5 (* v v)) (* (PI) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (/ (/ (/ (+ (* 5 (* v v)) 1) (PI)) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)) (- 1 (* v v))) (/ (+ (* 5 (* v v)) 1) (PI)) (+ (* 5 (* v v)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (/ 1 (* (* (PI) t) (sqrt 2))) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* 2 (- 1 (* 3 (* v v)))) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (/ (- 1 (* 5 (* v v))) (* (PI) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t) (/ (/ (+ (* 5 (* v v)) 1) (PI)) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)))
9.0ms
t
@-inf
((/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt 2)) (* (PI) t) (PI) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (* v v) (- 1 (* 5 (* v v))) (* 5 (* v v)) (* (PI) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (/ (/ (/ (+ (* 5 (* v v)) 1) (PI)) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)) (- 1 (* v v))) (/ (+ (* 5 (* v v)) 1) (PI)) (+ (* 5 (* v v)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (/ 1 (* (* (PI) t) (sqrt 2))) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* 2 (- 1 (* 3 (* v v)))) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (/ (- 1 (* 5 (* v v))) (* (PI) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t) (/ (/ (+ (* 5 (* v v)) 1) (PI)) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)))
8.0ms
t
@0
((/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt 2)) (* (PI) t) (PI) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (* v v) (- 1 (* 5 (* v v))) (* 5 (* v v)) (* (PI) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (/ (/ (/ (+ (* 5 (* v v)) 1) (PI)) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)) (- 1 (* v v))) (/ (+ (* 5 (* v v)) 1) (PI)) (+ (* 5 (* v v)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (/ 1 (* (* (PI) t) (sqrt 2))) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* 2 (- 1 (* 3 (* v v)))) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (/ (- 1 (* 5 (* v v))) (* (PI) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t) (/ (/ (+ (* 5 (* v v)) 1) (PI)) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)))
7.0ms
v
@inf
((/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt 2)) (* (PI) t) (PI) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (* v v) (- 1 (* 5 (* v v))) (* 5 (* v v)) (* (PI) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (/ (/ (/ (+ (* 5 (* v v)) 1) (PI)) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)) (- 1 (* v v))) (/ (+ (* 5 (* v v)) 1) (PI)) (+ (* 5 (* v v)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (/ 1 (* (* (PI) t) (sqrt 2))) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* 2 (- 1 (* 3 (* v v)))) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (/ (- 1 (* 5 (* v v))) (* (PI) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t) (/ (/ (+ (* 5 (* v v)) 1) (PI)) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)))
5.0ms
v
@0
((/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt 2)) (* (PI) t) (PI) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (* v v) (- 1 (* 5 (* v v))) (* 5 (* v v)) (* (PI) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (/ (/ (/ (+ (* 5 (* v v)) 1) (PI)) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)) (- 1 (* v v))) (/ (+ (* 5 (* v v)) 1) (PI)) (+ (* 5 (* v v)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (/ 1 (* (* (PI) t) (sqrt 2))) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* 2 (- 1 (* 3 (* v v)))) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (/ (- 1 (* 5 (* v v))) (* (PI) (* t (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t) (/ (/ (+ (* 5 (* v v)) 1) (PI)) (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)))

simplify398.0ms (3.8%)

Memory
9.2MiB live, 321.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 330×lower-fma.f64
14 330×lower-fma.f32
7 416×lower-*.f64
7 416×lower-*.f32
5 516×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074212023
1241511152
0843510777
Stop Event
1×iter limit
1×node limit
Counts
456 → 455
Calls
Call 1
Inputs
(/ (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 (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)))
(/ 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))))
(/ 1 t)
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 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) (+ (* -3/2 (* 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))))))))))
(+ (* 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)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* 15/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (+ (* 147/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 15/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 147/8 (/ 1 (* t (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 555/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 9 (/ 1 (* t (* (PI) (sqrt 2))))))))) (* 15/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(/ 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)))
(* 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))))))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
t
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (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)))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* t (sqrt 2))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* -1 (* t (sqrt 2))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/8 (* t (sqrt 2))) (* 3/2 (* t (sqrt 2)))))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/8 (* t (sqrt 2))) (+ (* 3/2 (* t (sqrt 2))) (* (pow v 2) (+ (* -27/16 (* t (sqrt 2))) (* 9/8 (* t (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)))))
(* t (sqrt 2))
(+ (* -3/2 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* -9/8 (* t (* (pow v 2) (sqrt 2)))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (sqrt 2)))) (* -9/8 (* t (sqrt 2))))))))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* 13/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (+ (* 87/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 13/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 405/16 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 87/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 13/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 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) (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))
(* 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 (/ (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))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -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 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* -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)))))))))
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/ (+ (* -6 (/ (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)
(/ (+ (* -6 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* -6 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* -5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))) (+ (* 5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 1/3 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))))) v)
(/ (+ (* -6 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* -6 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* -6 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (+ (* -5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))) (+ (* 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))))))) (+ (* 3 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 1/3 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 1/3 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))))))))) v)
(* 5 (/ (pow v 2) (PI)))
(* (pow v 2) (+ (* 5 (/ 1 (PI))) (/ 1 (* (pow v 2) (PI)))))
(* (pow v 2) (+ (* 5 (/ 1 (PI))) (/ 1 (* (pow v 2) (PI)))))
(* (pow v 2) (+ (* 5 (/ 1 (PI))) (/ 1 (* (pow v 2) (PI)))))
(* 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))))
(* -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)))))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* t (pow v 2)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (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))
(* -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 (* (pow v 3) (* (sqrt -3) (sqrt 2)))))
(* (pow v 3) (+ (* -1 (* t (* (sqrt -3) (sqrt 2)))) (+ (* -1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (/ (* t (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (* (sqrt -3) (sqrt 2)))) (+ (* -1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (sqrt 2)) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 4) (sqrt -3)))) (/ (* t (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (* (sqrt -3) (sqrt 2)))) (+ (* -1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (sqrt 2)) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (sqrt 2)) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (sqrt 2)) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 4) (sqrt -3)))) (/ (* t (* (sqrt -3) (sqrt 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)
(* t (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (* t (sqrt 2)) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/8 (/ (* t (sqrt 2)) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (sqrt 2)) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2)))))))
(* 5 (/ (* v (sqrt -1/3)) (* t (* (PI) (sqrt 2)))))
(* v (- (+ (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))) (/ (sqrt -1/3) (* t (* (pow v 2) (* (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))))))) (+ (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))) (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 1/18 (/ 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))))))) (+ (* -1/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))) (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2))))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 1/18 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 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) (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))
(* -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 (/ (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))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -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 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))
(* -1 (* (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))))))
(* -1 (* (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))))))))
(* -1 (* (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))))))))))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(* -1 (/ (+ (* -6 (/ (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 (/ (+ (* -6 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* -6 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* -5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))) (+ (* 5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 1/3 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))))) v))
(* -1 (/ (+ (* -6 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* -6 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* -6 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (+ (* -5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))) (+ (* 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))))))) (+ (* 3 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 1/3 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 1/3 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))))))))) v))
(* 5 (/ (pow v 2) (PI)))
(* (pow v 2) (+ (* 5 (/ 1 (PI))) (/ 1 (* (pow v 2) (PI)))))
(* (pow v 2) (+ (* 5 (/ 1 (PI))) (/ 1 (* (pow v 2) (PI)))))
(* (pow v 2) (+ (* 5 (/ 1 (PI))) (/ 1 (* (pow v 2) (PI)))))
(* 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))))
(* 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 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -1 (* t (pow v 2)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(/ (sqrt -1/6) (* (pow v 3) (PI)))
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(* -6 (pow v 2))
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(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
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(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
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(/ 1 (* t (* (PI) (sqrt 2))))
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(* (* t (sqrt 2)) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (sqrt 2)) (sqrt (- 1 (* 3 (pow v 2)))))
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(* (* t (sqrt 2)) (sqrt (- 1 (* 3 (pow v 2)))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
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(* (/ (+ 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))))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (PI))
(* t (PI))
(* t (PI))
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(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
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(* (/ (+ 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)
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
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(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
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(* t (PI))
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(/ (+ 1 (* -5 (pow v 2))) t)
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(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
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Outputs
(/ (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))))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.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)
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(* (* 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))
(* t (- 1 (pow v 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(* t (- 1 (pow v 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(* t (- 1 (pow v 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(* t (- 1 (pow v 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (sqrt 2) (- 1 (pow v 2)))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(* (* t (* (sqrt 2) (- 1 (pow v 2)))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(* (* t (* (sqrt 2) (- 1 (pow v 2)))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(* (* t (* (sqrt 2) (- 1 (pow v 2)))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (* t (sqrt 2)) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* (* t (sqrt 2)) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* (* t (sqrt 2)) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* (* t (sqrt 2)) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (sqrt.f64 #s(literal 2 binary64))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (sqrt.f64 #s(literal 2 binary64))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (sqrt.f64 #s(literal 2 binary64))))
(* (/ (+ 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (sqrt.f64 #s(literal 2 binary64))))

rewrite256.0ms (2.5%)

Memory
23.6MiB live, 344.5MiB allocated
Rules
4 280×lower-/.f32
4 264×lower-/.f64
3 936×lower-*.f32
3 912×lower-*.f64
3 362×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062377
099370
1356368
22628366
08805358
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 1 337
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(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (PI.f64) 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)
(*.f64 v v)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.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 (*.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))))
(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)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (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)))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
(*.f64 t (*.f64 (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 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t))
Outputs
(*.f64 (pow.f64 (/.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)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.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)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.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 -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) t)) (neg.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) (PI.f64))
(/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) t)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) t)) (PI.f64))
(/.f64 (neg.f64 (/.f64 (pow.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) t)) (neg.f64 (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))) (neg.f64 t))
(/.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (PI.f64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) t) (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (PI.f64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (PI.f64)) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) (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)) (PI.f64)) (*.f64 (neg.f64 t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (neg.f64 (*.f64 (neg.f64 t) (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)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (PI.f64)))) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (PI.f64)))))
(-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (PI.f64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)))) (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
(-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)))))
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) (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)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64))) (/.f64 (pow.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64))))
(-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)) (/.f64 (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))

eval351.0ms (3.4%)

Memory
20.2MiB live, 760.0MiB allocated
Compiler

Compiled 66 838 to 5 141 computations (92.3% saved)

prune226.0ms (2.2%)

Memory
-16.1MiB live, 517.0MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New2 19652 201
Fresh01111
Picked325
Done011
Total2 199192 218
Accuracy
100.0%
Counts
2 218 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.2%
(/.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))))
98.2%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
▶99.4%
(/.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)))))
98.2%
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.6%
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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)))))
99.4%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64))))
▶98.2%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))))
98.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
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))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (PI.f64)))
98.4%
(/.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)))
98.3%
(/.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)))
98.4%
(*.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))))))
98.4%
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) #s(approx (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
✓97.7%
(*.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))))
97.7%
(*.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))))
97.8%
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓98.4%
#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)))
▶98.2%
#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))))
✓98.2%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 608 to 493 computations (18.9% saved)

simplify104.0ms (1%)

Memory
-13.1MiB live, 143.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)
cost-diff0
(*.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))))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
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 t (PI.f64))
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 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))
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)) t) (PI.f64))))
cost-diff0
(neg.f64 (PI.f64))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
cost-diff128
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64)))
Rules
5 856×lower-*.f32
5 832×lower-*.f64
3 534×lower-fma.f32
3 526×lower-fma.f64
3 246×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058431
095431
1186431
2469410
32178410
46398410
08366406
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)) (neg.f64 (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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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)
(neg.f64 (PI.f64))
(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))
#s(literal 1 binary64)
(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)) t) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(PI.f64)
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (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)
(*.f64 t (PI.f64))
t
(PI.f64)
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#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))))
(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))
(/.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)))))
(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 (-.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.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)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) t)) (PI.f64))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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))
(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)
(neg.f64 (PI.f64))
(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))
#s(literal 1 binary64)
(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)) t) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(PI.f64)
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t (PI.f64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (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)
(*.f64 t (PI.f64))
t
(PI.f64)
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#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 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) t) (fma.f64 v v #s(literal -1 binary64))) (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 (-.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 (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 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) t)) (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)
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.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)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

localize141.0ms (1.4%)

Memory
3.1MiB live, 163.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
accuracy0.20703125
(/.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)))))
accuracy0.2421875
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)
accuracy0.4834175293053261
(*.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))))
accuracy0.20703125
(/.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))))
accuracy0.2421875
(*.f64 (PI.f64) t)
accuracy0.4834175293053261
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
accuracy0.8343815004307629
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
accuracy0.2421875
(*.f64 t (PI.f64))
accuracy0.29296875
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64)))
accuracy0.44664003907376815
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.8151391480701033
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.203125
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))
accuracy0.27734375
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))
accuracy0.375
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy0.8110562917372246
#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))))
accuracy0.00390625
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.00390625
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy0.35775375976844204
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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)))))
accuracy0.3828125
(*.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
87.0ms256×0valid
Compiler

Compiled 428 to 50 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 27.0ms (49.1% of total)
ival-div: 11.0ms (20% of total)
ival-sqrt: 5.0ms (9.1% of total)
ival-add: 4.0ms (7.3% of total)
ival-sub: 3.0ms (5.5% of total)
ival-pi: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series87.0ms (0.8%)

Memory
24.1MiB live, 62.0MiB allocated
Counts
27 → 456
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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 (neg.f64 (PI.f64)) (patch (neg.f64 (PI.f64)) #<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)) t) (PI.f64)))) (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)) t) (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) (patch (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (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>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #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 t (PI.f64)) (patch (*.f64 t (PI.f64)) #<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 (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 (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) #<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 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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))))) (patch (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))) (patch #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #<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 (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 (/.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))))) (patch (/.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))))) #<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>) () ())
Outputs
#s(alt (/ 1 (PI)) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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)) (neg.f64 (PI.f64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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)) (neg.f64 (PI.f64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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)) (neg.f64 (PI.f64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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 (- (* 5 (pow v 2)) 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 (- (* 5 (pow v 2)) 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 (- (* 5 (pow v 2)) 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 (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)) t) (PI.f64)))) (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)) t) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 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)) t) (PI.f64)))) (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)) t) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 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)) t) (PI.f64)))) (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)) t) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))))) (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)) t) (PI.f64)))) (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)) t) (PI.f64)))) #<representation binary64>) () ())) ())
#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 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))) #<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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))) #<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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))) #<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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #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 1 (taylor 0 v) (#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 (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#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 (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#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 (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#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 (* t (* (PI) (sqrt 2))) (taylor 0 v) (#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))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2))))))) (taylor 0 v) (#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))) (* (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)))))))))) (taylor 0 v) (#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))) (* (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)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2))))))))))))) (taylor 0 v) (#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))) (taylor 0 v) (#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 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) (taylor 0 v) (#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))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) (taylor 0 v) (#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))) (* (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))))))))) (taylor 0 v) (#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))) (taylor 0 v) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))) (taylor 0 v) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 v) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
39.0ms
t
@inf
((/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (* v v) (neg (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) t) (PI))) (* (* (sqrt 2) t) (PI)) (* (sqrt 2) t) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* -5 (* v v)) 1) (* t (PI)) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (PI)))
9.0ms
t
@-inf
((/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (* v v) (neg (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) t) (PI))) (* (* (sqrt 2) t) (PI)) (* (sqrt 2) t) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* -5 (* v v)) 1) (* t (PI)) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (PI)))
7.0ms
t
@0
((/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (* v v) (neg (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) t) (PI))) (* (* (sqrt 2) t) (PI)) (* (sqrt 2) t) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* -5 (* v v)) 1) (* t (PI)) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (PI)))
6.0ms
v
@0
((/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (* v v) (neg (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) t) (PI))) (* (* (sqrt 2) t) (PI)) (* (sqrt 2) t) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* -5 (* v v)) 1) (* t (PI)) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (PI)))
4.0ms
v
@inf
((/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (* v v) (neg (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) t) (PI))) (* (* (sqrt 2) t) (PI)) (* (sqrt 2) t) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* -5 (* v v)) 1) (* t (PI)) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* 2 (- 1 (* 3 (* v v)))) (* (PI) t) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (PI)))

simplify283.0ms (2.7%)

Memory
-18.5MiB live, 181.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 964×lower-fma.f64
12 964×lower-fma.f32
7 640×lower-*.f64
7 640×lower-*.f32
4 600×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069710998
1223710258
084389910
Stop Event
1×iter limit
1×node limit
Counts
456 → 455
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
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(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))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* 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))))))))))
(+ (* 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)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 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)))))))))
(* 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))))))))))))
(* t (PI))
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (PI)))
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (PI)))
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (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))))))))))))
(/ (sqrt 1/2) (* t (PI)))
(+ (* -1 (* (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) (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI)))))))) (* -1 (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -1 (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (* (pow v 2) (+ (* -1 (* (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))))) (+ (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI))))))))) (* -1 (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI))))))))))) (/ (sqrt 1/2) (* t (PI))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
t
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
(sqrt 2)
(+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
(/ 1 (* t (PI)))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (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))))
(PI)
(+ (PI) (* -1 (* (pow v 2) (PI))))
(+ (PI) (* -1 (* (pow v 2) (PI))))
(+ (PI) (* -1 (* (pow v 2) (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) (- 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 (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 (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)))))))))
(* 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))))))))
(* -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)))))))))
(* -1 (* t (* (pow v 2) (PI))))
(* (pow v 2) (+ (* -1 (* t (PI))) (/ (* t (PI)) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (PI))) (/ (* t (PI)) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (PI))) (/ (* t (PI)) (pow v 2))))
(* -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 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v)
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v)
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v)
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* t (pow v 2)))
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(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* -1 (* (pow v 3) (sqrt -6)))
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(* -5 (/ (pow v 2) (* t (PI))))
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(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* -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 -1/3) (* 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)
(* -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 (/ (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) (- 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))))))
(* -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 (/ (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))
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(* (pow v 2) (- (/ 1 (pow v 2)) 5))
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(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))
(* -1 (* (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))))))
(* -1 (* (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))))))))
(* -1 (* (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 (* 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)))))))))
(* 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))))))))))
(* -1 (* t (* (pow v 2) (PI))))
(* (pow v 2) (+ (* -1 (* t (PI))) (/ (* t (PI)) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (PI))) (/ (* t (PI)) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (PI))) (/ (* t (PI)) (pow v 2))))
(* 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))))))))))
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -1 (* t (pow v 2)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 3) (sqrt -6))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -5 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* -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 -1/3) (* 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 (/ (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))))
(* (/ (- 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)))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 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))
(* (* 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)))))
(* (* 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) (- 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)))))
(* t (* (PI) (- 1 (pow v 2))))
(* t (* (PI) (- 1 (pow v 2))))
(* t (* (PI) (- 1 (pow v 2))))
(* t (* (PI) (- 1 (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)))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* (/ (+ 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 (* -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)))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 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))
(* (* 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)))))
(* (* 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) (- 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)))))
(* t (* (PI) (- 1 (pow v 2))))
(* t (* (PI) (- 1 (pow v 2))))
(* t (* (PI) (- 1 (pow v 2))))
(* t (* (PI) (- 1 (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)))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* (/ (+ 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 (* -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)))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 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))
(* (* 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)))))
(* (* 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) (- 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)))))
(* t (* (PI) (- 1 (pow v 2))))
(* t (* (PI) (- 1 (pow v 2))))
(* t (* (PI) (- 1 (pow v 2))))
(* t (* (PI) (- 1 (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)))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* (/ (+ 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 (* -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
#s(literal -1 binary64)
(- (* 5 (pow v 2)) 1)
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(- (* 5 (pow v 2)) 1)
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(- (* 5 (pow v 2)) 1)
(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) 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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(+ (* (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))))
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1
#s(literal 1 binary64)
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(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)))
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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)))
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(+ 1 (* -5 (pow v 2)))
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(* t (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
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(* t (PI))
(*.f64 t (PI.f64))
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(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
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(/ (sqrt 1/2) (* t (PI)))
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(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
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t
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(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
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(/ 1 (* t (PI)))
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2
#s(literal 2 binary64)
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(/ 1 (* t (* (PI) (sqrt 2))))
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(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* (/ (+ 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)) t) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (+ 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)) t) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (+ 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)) t) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (+ 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)) t) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(* (* t (* (PI) (- 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))
(* (* t (* (PI) (- 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))
(* (* t (* (PI) (- 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))
(* (* t (* (PI) (- 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))
(* t (* (PI) (- 1 (pow v 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)
(* t (* (PI) (- 1 (pow v 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)
(* t (* (PI) (- 1 (pow v 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)
(* t (* (PI) (- 1 (pow v 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.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 (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.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 (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.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 (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.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))))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)))
(* t (- 1 (pow v 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(* t (- 1 (pow v 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(* t (- 1 (pow v 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(* t (- 1 (pow v 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 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)) t) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (+ 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)) t) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (+ 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)) t) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(* (/ (+ 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)) t) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))

rewrite256.0ms (2.5%)

Memory
-5.8MiB live, 185.2MiB allocated
Rules
5 572×lower-/.f32
5 558×lower-/.f64
3 630×lower-*.f32
3 606×lower-*.f64
3 130×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058335
095335
1349332
22455330
08959325
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 1 209
Calls
Call 1
Inputs
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(*.f64 v v)
(neg.f64 (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)) t) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 t (PI.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 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)
(*.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)) (neg.f64 (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)))))
(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)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64)))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
(*.f64 (PI.f64) t)
(/.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 (-.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 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
Outputs
(*.f64 (pow.f64 (/.f64 (neg.f64 (PI.f64)) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (PI.f64)) (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.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)) (/.f64 #s(literal -1 binary64) (PI.f64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (PI.f64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.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)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (PI.f64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64)))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (PI.f64)))))
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(fma.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v)))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64)))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v)))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64)))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v)))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v)))
(fma.f64 (PI.f64) (log.f64 (E.f64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64)))
(fma.f64 (PI.f64) (log.f64 (E.f64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v)))
(fma.f64 (PI.f64) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v)))
(+.f64 (PI.f64) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v)))

eval577.0ms (5.6%)

Memory
-134.1MiB live, 451.2MiB allocated
Compiler

Compiled 59 134 to 4 496 computations (92.4% saved)

prune191.0ms (1.8%)

Memory
20.8MiB live, 414.5MiB allocated
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New1 95581 963
Fresh7411
Picked325
Done033
Total1 965171 982
Accuracy
100.0%
Counts
1 982 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.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)))
✓99.4%
(/.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)))))
98.3%
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
99.4%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64))))
98.2%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 t (PI.f64))))
99.6%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.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)))))
98.3%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
98.2%
(/.f64 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))))
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))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (PI.f64)))
98.4%
(*.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))))))
98.4%
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) #s(approx (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
✓97.7%
(*.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))))
97.8%
#s(approx (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
98.4%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
✓98.4%
#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)))
✓98.2%
#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))))
✓98.2%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 945 to 365 computations (61.4% saved)

regimes61.0ms (0.6%)

Memory
-39.1MiB live, 94.2MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (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 (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (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 #s(literal -1 binary64) (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.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)))
(/.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 (/.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)) t) (*.f64 #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #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) #s(approx (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (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 (PI.f64) (*.f64 t (*.f64 (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 (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 #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 (PI.f64) (*.f64 t (*.f64 (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 (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 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 t (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (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 #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 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) 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 (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))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (PI.f64)))
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.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)))))
(/.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 #s(literal 1 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 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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 (-.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)))))
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:

19.0ms
(/.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
(*.f64 (PI.f64) t)
10.0ms
v
10.0ms
t
8.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.6%1v
99.6%1t
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%1(*.f64 v v)
99.6%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes49.0ms (0.5%)

Memory
10.6MiB live, 88.5MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (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 (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (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 #s(literal -1 binary64) (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.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)))
(/.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 (/.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)) t) (*.f64 #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #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) #s(approx (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (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 (PI.f64) (*.f64 t (*.f64 (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 (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 #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 (PI.f64) (*.f64 t (*.f64 (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 (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 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 t (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (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 #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 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) 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 (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))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (PI.f64)))
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.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)))))
(/.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 #s(literal 1 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 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (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 (-.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)) (PI.f64)) (*.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)))))
Calls

5 calls:

11.0ms
(/.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
v
9.0ms
(*.f64 (PI.f64) t)
9.0ms
t
8.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.6%1v
99.6%1t
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%1(*.f64 v v)
99.6%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes44.0ms (0.4%)

Memory
3.9MiB live, 83.8MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (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 (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (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 #s(literal -1 binary64) (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.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)))
(/.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 (/.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)) t) (*.f64 #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #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) #s(approx (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (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 (PI.f64) (*.f64 t (*.f64 (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 (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 #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 (PI.f64) (*.f64 t (*.f64 (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 (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 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 t (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (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 #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 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) 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 (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))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (PI.f64)))
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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))))))
Outputs
(/.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)))))
Calls

5 calls:

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 v v)
8.0ms
(*.f64 (PI.f64) t)
8.0ms
t
8.0ms
v
Results
AccuracySegmentsBranch
99.4%1v
99.4%1t
99.4%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))))
99.4%1(*.f64 v v)
99.4%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes37.0ms (0.4%)

Memory
-10.2MiB live, 67.3MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (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 (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (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 #s(literal -1 binary64) (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.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)))
(/.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 (/.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)) t) (*.f64 #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #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) #s(approx (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (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 (PI.f64) (*.f64 t (*.f64 (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 (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 #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 (PI.f64) (*.f64 t (*.f64 (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 (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 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 t (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) t) (neg.f64 (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 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
Outputs
(/.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))))
Calls

5 calls:

8.0ms
v
7.0ms
(/.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))))
7.0ms
(*.f64 (PI.f64) t)
7.0ms
(*.f64 v v)
7.0ms
t
Results
AccuracySegmentsBranch
98.4%1v
98.4%1t
98.4%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))))
98.4%1(*.f64 v v)
98.4%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes29.0ms (0.3%)

Memory
16.8MiB live, 57.7MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (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 (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (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 #s(literal -1 binary64) (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.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)))
(/.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 (/.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)) t) (*.f64 #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (sqrt.f64 #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) #s(approx (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (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 (PI.f64) (*.f64 t (*.f64 (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 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.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)))
Calls

5 calls:

7.0ms
t
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
v
4.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.4%1v
98.4%1t
98.4%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))))
98.4%1(*.f64 v v)
98.4%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes16.0ms (0.2%)

Memory
-6.2MiB live, 32.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (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 (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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 (/.f64 #s(approx (+ (* -5 (* v v)) 1) #s(literal 1 binary64)) (*.f64 t (PI.f64))) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (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 #s(literal -1 binary64) (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
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:

4.0ms
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
98.4%1v
98.4%1t
98.4%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))))
98.4%1(*.f64 v v)
98.4%1(*.f64 (PI.f64) t)
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes8.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Accuracy

Total -0.1b remaining (-11.5%)

Threshold costs -0.1b (-11.5%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (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 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
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
v
1.0ms
t
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.2%1t
98.2%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))))
98.2%1(*.f64 (PI.f64) t)
98.2%1v
98.2%1(*.f64 v v)
Compiler

Compiled 36 to 30 computations (16.7% saved)

simplify25.0ms (0.2%)

Memory
-27.8MiB live, 50.2MiB allocated
Algorithm
1×egg-herbie
Rules
34×*-commutative-binary64-*.f64
12×+-commutative-binary64-+.f64
12×sub-neg-binary64-neg.f64-+.f64--.f64
8×neg-sub0-binary64--.f64-neg.f64
8×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057217
184217
2100217
3108217
4112217
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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)) (PI.f64)) (*.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)))))
(/.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 (-.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 (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))) (* (* (* (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 (PI.f64) t) (sqrt.f64 #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))))))
(*.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)) (PI.f64)) (*.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)))))
(/.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 (-.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 (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))) (* (* (* (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 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))

soundness1.3s (12.1%)

Memory
50.2MiB live, 877.2MiB allocated
Rules
23 106×lower-fma.f64
23 106×lower-fma.f32
12 964×lower-fma.f64
12 964×lower-fma.f32
7 640×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058335
095335
1349332
22455330
08959325
01973
03273
112873
292367
0872061
069710998
1223710258
084389910
053344
087338
1320338
22432335
08327330
01952113
15762013
224151898
080301805
062377
099370
1356368
22628366
08805358
Stop Event
1×fuel
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×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 480 to 234 computations (51.3% saved)

preprocess70.0ms (0.7%)

Memory
1.7MiB live, 110.2MiB allocated
Remove

(negabs t)

(abs v)

Compiler

Compiled 518 to 258 computations (50.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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