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

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze73.0ms (0.8%)

Memory
-6.4MiB live, 74.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%50%0.1%0%50%0%4
0%0%50%0.1%0%50%0%5
37.5%18.7%31.2%0.1%0%50%0%6
43.8%21.9%28.1%0.1%0%50%0%7
65.6%32.8%17.2%0.1%0%50%0%8
70.3%35.1%14.8%0.1%0%50%0%9
82%41%9%0.1%0%50%0%10
84.8%42.3%7.6%0.1%0%50%0%11
90.8%45.4%4.6%0.1%0%50%0%12
Compiler

Compiled 30 to 21 computations (30% saved)

sample1.5s (16.1%)

Memory
32.7MiB live, 2 760.2MiB allocated
Samples
1.1s8 256×0valid
1.0ms14×0invalid
Precisions
Click to see histograms. Total time spent on operations: 761.0ms
ival-mult: 377.0ms (49.5% of total)
ival-sub: 159.0ms (20.9% of total)
ival-div: 94.0ms (12.3% of total)
ival-sqrt: 76.0ms (10% of total)
ival-pi: 32.0ms (4.2% 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

explain482.0ms (5.3%)

Memory
-244.8MiB live, 555.6MiB 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
61.0ms512×0valid
Compiler

Compiled 280 to 61 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 21.0ms (51% of total)
ival-sub: 10.0ms (24.3% of total)
ival-sqrt: 4.0ms (9.7% of total)
ival-div: 3.0ms (7.3% of total)
ival-pi: 2.0ms (4.9% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess153.0ms (1.7%)

Memory
-0.6MiB live, 227.9MiB 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 (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)))))
Symmetry

(abs v)

(negabs t)

Compiler

Compiled 30 to 19 computations (36.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB 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 30 to 19 computations (36.7% saved)

simplify140.0ms (1.5%)

Memory
7.4MiB live, 201.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.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))))
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 (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 #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))

localize53.0ms (0.6%)

Memory
23.0MiB live, 149.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1796875
(*.f64 #s(literal 3 binary64) (*.f64 v v))
accuracy0.23828125
(*.f64 (PI.f64) t)
accuracy0.2890625
(/.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))))
accuracy0.4677925293053261
(*.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
42.0ms256×0valid
Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 18.0ms (57% of total)
ival-sub: 8.0ms (25.3% of total)
ival-div: 2.0ms (6.3% of total)
ival-sqrt: 2.0ms (6.3% 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)

series27.0ms (0.3%)

Memory
1.6MiB live, 81.4MiB 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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.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 #s(literal 3 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 3 binary64) (*.f64 v v)) #<representation binary64>) () ())
Outputs
#s(alt 2 (taylor 0 v) (#s(alt (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (patch (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (patch (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (patch (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (patch (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* t (* (PI) (sqrt 2)))) (taylor 0 v) (#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>) () ())) ())
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#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
t
@0
((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* 3 (* v v)))
5.0ms
t
@inf
((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* 3 (* v v)))
4.0ms
v
@inf
((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* 3 (* v v)))
4.0ms
v
@0
((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* 3 (* v v)))
3.0ms
t
@-inf
((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* 3 (* v v)))

simplify224.0ms (2.4%)

Memory
-29.2MiB live, 334.0MiB 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
224121898
080171805
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)))
(/ 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 (* (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)))))))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* 5 (/ (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 (* (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))))))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* -5 (/ (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))
(* -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)))))))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (* t (* (PI) (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))
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))
(/ 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) v) (/.f64 v (*.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)))
(+ (* (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) v) (/.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) 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 (*.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)))
(* 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))))
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(* (/ (- 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) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.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 (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)

rewrite173.0ms (1.9%)

Memory
20.2MiB live, 248.4MiB 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 → 495
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 (-.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 (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 #s(literal 3 binary64) (*.f64 v v))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) v)) v)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) v)) v))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 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 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) v)) v)) #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 (*.f64 #s(literal 27 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 9 binary64) (*.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 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) v)) v)))) (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 (*.f64 #s(literal 27 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v))))) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) v)) v)) #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 (*.f64 #s(literal 27 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v))) #s(literal 2 binary64)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) v)) v))) (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 (*.f64 #s(literal 27 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v)))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 9 binary64) (*.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 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) v)) v)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v))) #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 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) v)) v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v))))))
(/.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 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 v v) v)) v)) (/.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 (*.f64 #s(literal 125 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #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 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 v v) v)) v)) (/.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 (*.f64 #s(literal 125 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))
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(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 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 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) v))) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 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 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) (*.f64 v v)))
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(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 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 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 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 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v))))
(+.f64 (*.f64 (/.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 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (/.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))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.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))))) #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 #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))))) #s(literal 1 binary64)) (*.f64 (/.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 #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 #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 (*.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 #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 #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 -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 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (PI.f64)) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) t)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) t))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) t))
(*.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 t (PI.f64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (PI.f64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (PI.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))) (PI.f64)) t)
(*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 t (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (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))) (*.f64 t (PI.f64))) #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 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))
(*.f64 #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 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) t) (PI.f64))
(*.f64 (*.f64 t (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t))
(*.f64 (*.f64 t (PI.f64)) #s(literal 1 binary64))
(*.f64 t (PI.f64))
(*.f64 (PI.f64) t)
(*.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(*.f64 (*.f64 v #s(literal 3 binary64)) v)
(*.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)))

eval96.0ms (1%)

Memory
20.9MiB live, 139.5MiB allocated
Compiler

Compiled 26 681 to 2 071 computations (92.2% saved)

prune117.0ms (1.3%)

Memory
-10.3MiB live, 180.2MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New59112603
Fresh000
Picked101
Done000
Total59212604
Accuracy
100.0%
Counts
604 → 12
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 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
99.4%
(/.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)))))
99.3%
(/.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)))))
55.2%
(/.f64 (-.f64 (*.f64 (/.f64 #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 (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 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.5%
(/.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))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.3%
(/.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))))
▶98.7%
(/.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))))
98.8%
(/.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))))
99.4%
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 t (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.6%
(/.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)))))
▶98.7%
#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 692 to 394 computations (43.1% saved)

simplify148.0ms (1.6%)

Memory
16.6MiB live, 136.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
cost-diff0
(*.f64 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)) (*.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
cost-diff0
(*.f64 v v)
cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 v v))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (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-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
cost-diff0
(*.f64 v v)
cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 v v))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
cost-diff0
(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
5 298×lower-*.f32
5 266×lower-*.f64
4 974×lower-fma.f32
4 968×lower-fma.f64
3 704×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056477
092467
1193467
2589449
33107449
47515449
08106449
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(PI.f64)
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
t
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
t
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(*.f64 (*.f64 (*.f64 (neg.f64 t) (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 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (neg.f64 t) (PI.f64))
(neg.f64 t)
t
(PI.f64)
(-.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)
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 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
t
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 t (PI.f64)))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(PI.f64)
t
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (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 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
t
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 t) (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 (*.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)))))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(*.f64 (*.f64 (*.f64 (neg.f64 t) (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 (neg.f64 (PI.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 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (neg.f64 (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(*.f64 (neg.f64 t) (PI.f64))
(neg.f64 t)
t
(PI.f64)
(-.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)

localize137.0ms (1.5%)

Memory
-14.7MiB live, 263.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.23828125
(*.f64 (neg.f64 t) (PI.f64))
accuracy0.2890625
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 t) (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)))))
accuracy0.4599800293053261
(*.f64 (*.f64 (*.f64 (neg.f64 t) (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))))
accuracy0.14357377930532605
(*.f64 #s(literal 5 binary64) (*.f64 v v))
accuracy0.2890625
(/.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))))
accuracy0.37109375
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))
accuracy0.3984375
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)
accuracy0.23828125
(*.f64 (PI.f64) t)
accuracy0.2890625
(/.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))))
accuracy0.4677925293053261
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
accuracy0.5095893529089464
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
accuracy0
(PI.f64)
accuracy0.22265625
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
accuracy0.29296875
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
accuracy0.49645305657744865
#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)))
accuracy0.00390625
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.01171875
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
accuracy0.35384750976844204
(/.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)))))
accuracy0.40234375
(*.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
101.0ms256×0valid
Compiler

Compiled 480 to 48 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 34.0ms (57.4% of total)
ival-div: 9.0ms (15.2% of total)
ival-add: 5.0ms (8.4% of total)
ival-sqrt: 5.0ms (8.4% of total)
ival-sub: 4.0ms (6.8% of total)
ival-pi: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.9%)

Memory
23.9MiB live, 175.7MiB allocated
Counts
26 → 432
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 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (patch (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())
#s(alt (*.f64 v v) (patch (*.f64 v v) #<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 (*.f64 (*.f64 (neg.f64 t) (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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 t) (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 (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 (*.f64 (neg.f64 t) (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 (*.f64 (neg.f64 t) (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 (*.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 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<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 (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 (neg.f64 t) (PI.f64)) (patch (*.f64 (neg.f64 t) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<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>) () ())) ())
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#s(alt (/ 1 (PI)) (taylor 0 v) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (PI)) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* t (* (PI) (sqrt 2)))) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) #<representation binary64>) () ())) ())
#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)) (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 (+ (* (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)) (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 (+ (* (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)) (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 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 (* t (* (PI) (sqrt 2)))) (taylor 0 v) (#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 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) (taylor 0 v) (#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 (+ (* (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 (/.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 (+ (* (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 (/.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 (* 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 (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
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#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (PI))) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) (PI.f64)) (patch (*.f64 (neg.f64 t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (PI))) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) (PI.f64)) (patch (*.f64 (neg.f64 t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (PI))) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) (PI.f64)) (patch (*.f64 (neg.f64 t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (PI))) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) (PI.f64)) (patch (*.f64 (neg.f64 t) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (- 1 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (- 1 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (- 1 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (- 1 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
17.0ms
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)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (* (neg t) (PI)) (* (* (neg t) (PI)) (- 1 (* v v))))
11.0ms
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)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (* (neg t) (PI)) (* (* (neg t) (PI)) (- 1 (* v v))))
10.0ms
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)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (* (neg t) (PI)) (* (* (neg t) (PI)) (- 1 (* v v))))
9.0ms
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)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (* (neg t) (PI)) (* (* (neg t) (PI)) (- 1 (* v v))))
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)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (* (neg t) (PI)) (* (* (neg t) (PI)) (- 1 (* v v))))

simplify218.0ms (2.4%)

Memory
10.8MiB live, 360.9MiB allocated
Algorithm
1×egg-herbie
Rules
10 294×lower-fma.f64
10 294×lower-fma.f32
7 066×lower-*.f64
7 066×lower-*.f32
3 816×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061010145
120069387
084349035
Stop Event
1×iter limit
1×node limit
Counts
432 → 431
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)))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(/ (sqrt 1/2) (* t (PI)))
(+ (* -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))))
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-1
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
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(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))) (* -1 (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 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))))))))))))
t
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
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)))))))))
(* 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))))))))
(* -1 (* t (PI)))
(+ (* -1 (* t (PI))) (* t (* (pow v 2) (PI))))
(+ (* -1 (* t (PI))) (* t (* (pow v 2) (PI))))
(+ (* -1 (* t (PI))) (* t (* (pow v 2) (PI))))
(* 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) (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 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (+ (* -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)
(* 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) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (* t (* (PI) (sqrt -6)))))
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))))
(* -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)))))))))
(* -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))))
(* -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))))))))
(* 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)))))))
(* t (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -1 (/ (* t (PI)) (pow v 2))) (* t (PI))))
(* (pow v 2) (+ (* -1 (/ (* t (PI)) (pow v 2))) (* t (PI))))
(* (pow v 2) (+ (* -1 (/ (* t (PI)) (pow v 2))) (* t (PI))))
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (pow v 2) (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))))))
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(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 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)) 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)))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 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)))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* -1 (* t (PI)))
(* -1 (* t (PI)))
(* -1 (* t (PI)))
(* -1 (* t (PI)))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* (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 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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 (fma.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (/.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) #s(literal -5/2 binary64) (/.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 #s(literal -53/8 binary64) (/.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -241/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) v) v (/.f64 #s(literal -53/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (/.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) #s(literal -5/2 binary64) (/.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 #s(literal -53/8 binary64) (/.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -241/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) v) v (/.f64 #s(literal -53/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* (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 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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 (fma.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* -1 (* (pow v 2) (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2)))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (*.f64 (neg.f64 v) v) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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))))
(fma.f64 (neg.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (/.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal -135/32 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (/.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))))) (*.f64 v v) (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
-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))
(* -1 (* t (* (PI) (sqrt 2))))
(*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
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(*.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)
(* 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 (* t (PI)))
(*.f64 (neg.f64 (PI.f64)) t)
(* -1 (* t (PI)))
(*.f64 (neg.f64 (PI.f64)) t)
(* -1 (* t (PI)))
(*.f64 (neg.f64 (PI.f64)) t)
(* -1 (* t (PI)))
(*.f64 (neg.f64 (PI.f64)) t)
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (neg.f64 t))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (neg.f64 t))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (neg.f64 t))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (neg.f64 t))

rewrite469.0ms (5.1%)

Memory
-34.6MiB live, 442.2MiB allocated
Rules
4 338×lower-/.f32
4 326×lower-/.f64
4 148×lower-*.f32
4 116×lower-*.f64
3 420×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056311
092303
1329303
22492300
08595296
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 213
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 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 (neg.f64 t) (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 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)))
(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 (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 (neg.f64 t) (PI.f64))
(*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
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)) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 v v) 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 (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (fma.f64 #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 v v) 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))))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (fma.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (fma.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.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 (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)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.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) (/.f64 #s(literal 1 binary64) (PI.f64))) #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))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) #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))) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 t (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (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))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 t (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))) #s(literal -1 binary64)) (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))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.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)) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 t #s(literal 1 binary64)) #s(literal -1 binary64)) (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))) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.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 (*.f64 (*.f64 v v) v) v))) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.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 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (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)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (pow.f64 (/.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)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (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)) t) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (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))) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.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 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (PI.f64))) (/.f64 #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 (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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.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 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))))
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (/.f64 #s(literal 1 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))))
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(*.f64 (PI.f64) (*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (neg.f64 v) v)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 t) (PI.f64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (neg.f64 v) v)) (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (neg.f64 v) v))) (*.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (neg.f64 v) v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 t) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (neg.f64 t) (PI.f64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64)))) (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) v)) (*.f64 (neg.f64 t) (PI.f64)))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 (neg.f64 t) (PI.f64)))) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) v)))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) v)) (*.f64 (neg.f64 t) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 (neg.f64 t) (PI.f64))) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) v))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (PI.f64))))
(neg.f64 (*.f64 (*.f64 t (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(neg.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(fma.f64 (*.f64 (neg.f64 t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 (*.f64 (neg.f64 t) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64)) (PI.f64) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) t (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 (neg.f64 (PI.f64)) t (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 t)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (neg.f64 t)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 (*.f64 (neg.f64 t) (PI.f64)) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (neg.f64 v) v)))
(fma.f64 (neg.f64 t) (PI.f64) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 t (neg.f64 (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 (PI.f64) (neg.f64 t) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))
(+.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (neg.f64 v) v)))
(+.f64 (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 t) (PI.f64))))

eval398.0ms (4.3%)

Memory
22.0MiB live, 443.4MiB allocated
Compiler

Compiled 76 684 to 4 521 computations (94.1% saved)

prune457.0ms (5%)

Memory
-16.3MiB live, 425.3MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New2 124122 136
Fresh707
Picked325
Done000
Total2 134142 148
Accuracy
100.0%
Counts
2 148 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓99.4%
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 t) (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)))))
98.7%
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (neg.f64 (PI.f64)) t)) (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(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶98.7%
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
▶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)))))
98.8%
(/.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)))
▶98.2%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
▶99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
98.7%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))))
✓98.7%
#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)))
▶98.6%
#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))))
98.6%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
98.5%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 444 to 317 computations (28.6% saved)

simplify141.0ms (1.5%)

Memory
-17.1MiB live, 59.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
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
(*.f64 (PI.f64) t)
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
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)))
cost-diff512
(/.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)))))
Rules
4 440×lower-*.f32
4 424×lower-*.f64
3 166×lower-fma.f32
3 162×lower-fma.f64
2 700×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061350
093350
1186350
2505344
32247344
45464338
08053331
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))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) t)
(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)) 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)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
t
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 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)
#s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(neg.f64 t)
t
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
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 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (*.f64 t (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)) (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) 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))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(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)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 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)) t) (PI.f64)))
(/.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)) t) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
t
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 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)
#s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(neg.f64 t)
t
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)

localize142.0ms (1.6%)

Memory
16.1MiB live, 135.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(PI.f64)
accuracy0.22265625
(*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
accuracy0.2890625
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
accuracy0.4972881971827165
#s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0
(PI.f64)
accuracy0.109375
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
accuracy0.49645305657744865
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
accuracy0.29296875
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))
accuracy0.37890625
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))
accuracy0.40234375
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy0.49645305657744865
#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
(PI.f64)
accuracy0.23828125
(*.f64 (PI.f64) t)
accuracy0.40462875976844204
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
accuracy0.49645305657744865
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
accuracy0.00390625
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.01171875
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64)))
accuracy0.35384750976844204
(/.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)))))
accuracy0.40234375
(*.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
91.0ms256×0valid
Compiler

Compiled 323 to 52 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 32.0ms (45.4% of total)
ival-div: 22.0ms (31.2% of total)
ival-sqrt: 6.0ms (8.5% of total)
ival-sub: 4.0ms (5.7% of total)
ival-add: 2.0ms (2.8% of total)
ival-neg: 2.0ms (2.8% 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)

series98.0ms (1.1%)

Memory
-2.3MiB live, 74.3MiB allocated
Counts
23 → 312
Calls
Call 1
Inputs
#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 (/.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 #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (patch (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 1/2 binary64)) (patch (sqrt.f64 #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) t) (patch (*.f64 (PI.f64) t) #<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 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t) (patch (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #<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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (patch #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) #<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 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (patch (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (patch (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #<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)) (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 (+ (* -1 (* (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)) (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 (+ (* (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)))) (taylor 0 v) (#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 (+ (* (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)))) (taylor 0 v) (#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 (/ 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 (/ (sqrt 1/2) (* t (PI))) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (patch #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (patch #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (patch #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (patch #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* -1 (* t (* (PI) (sqrt 2)))) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (patch (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (sqrt 2)))) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (patch (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (sqrt 2)))) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (patch (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (sqrt 2)))) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (patch (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
26.0ms
t
@inf
((/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (sqrt 1/2) (* (PI) t)) (sqrt 1/2) (* (PI) t) (/ (- 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) (/ (/ 1 (* (sqrt 2) (PI))) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (sqrt 2) (PI))) (* (sqrt 2) (PI)) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (sqrt 2) (* (neg t) (* (sqrt 2) (PI))))
7.0ms
t
@-inf
((/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (sqrt 1/2) (* (PI) t)) (sqrt 1/2) (* (PI) t) (/ (- 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) (/ (/ 1 (* (sqrt 2) (PI))) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (sqrt 2) (PI))) (* (sqrt 2) (PI)) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (sqrt 2) (* (neg t) (* (sqrt 2) (PI))))
5.0ms
t
@0
((/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (sqrt 1/2) (* (PI) t)) (sqrt 1/2) (* (PI) t) (/ (- 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) (/ (/ 1 (* (sqrt 2) (PI))) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (sqrt 2) (PI))) (* (sqrt 2) (PI)) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (sqrt 2) (* (neg t) (* (sqrt 2) (PI))))
2.0ms
v
@inf
((/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (sqrt 1/2) (* (PI) t)) (sqrt 1/2) (* (PI) t) (/ (- 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) (/ (/ 1 (* (sqrt 2) (PI))) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (sqrt 2) (PI))) (* (sqrt 2) (PI)) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (sqrt 2) (* (neg t) (* (sqrt 2) (PI))))
2.0ms
v
@0
((/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (sqrt 1/2) (* (PI) t)) (sqrt 1/2) (* (PI) t) (/ (- 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) (/ (/ 1 (* (sqrt 2) (PI))) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (sqrt 2) (PI))) (* (sqrt 2) (PI)) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (sqrt 2) (* (neg t) (* (sqrt 2) (PI))))

simplify193.0ms (2.1%)

Memory
8.9MiB live, 199.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 188×lower-fma.f64
9 188×lower-fma.f32
6 182×lower-*.f64
6 182×lower-*.f32
2 754×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04808152
115397412
266307406
084627111
Stop Event
1×iter limit
1×node limit
Counts
312 → 311
Calls
Call 1
Inputs
(/ (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))))
(/ 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)
(/ (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 (* (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 (* 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)))
(+ (* -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))))
(* -1 (* t (* (PI) (sqrt 2))))
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* -1 (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))))
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))) (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))))
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))) (* -1 (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 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))))))))))))
t
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
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(* t (* (pow v 3) (sqrt -6)))
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(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* 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 (* 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 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* -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)))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 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 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 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)))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(* t (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 (* 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 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* -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)))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 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 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 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)))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(* t (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 (* 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 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* -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)))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 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 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* -1 (* (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 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (fma.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 v) v) (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal -135/32 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (/.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(/ 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)
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* (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 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (fma.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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 (fma.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(/ 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 v (/.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) #s(literal -5/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
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(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
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(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* 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))))
(* 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 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* -1 (* t (* (PI) (sqrt 2))))
(*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* -1 (* t (* (PI) (sqrt 2))))
(*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* -1 (* t (* (PI) (sqrt 2))))
(*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))

rewrite196.0ms (2.1%)

Memory
13.9MiB live, 255.2MiB allocated
Rules
5 094×lower-/.f32
5 080×lower-/.f64
3 584×lower-*.f32
3 568×lower-*.f64
2 960×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061287
093287
1320282
22235282
08123275
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 707
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))
(*.f64 v v)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 (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)) 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 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
#s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 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)))
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #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)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.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 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #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))) (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 t (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.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) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) v))) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (pow.f64 (/.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)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 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 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.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) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) t) (/.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.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)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.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 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.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)) (neg.f64 (PI.f64)))))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.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)) (neg.f64 (PI.f64)))))
(pow.f64 (*.f64 (/.f64 (PI.f64) (fma.f64 #s(literal -5 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal -1 binary64))
(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)) (/.f64 (PI.f64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)))) (neg.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))) (neg.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) t)) (neg.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 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 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)))) (PI.f64))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))))
(fma.f64 #s(literal 1 binary64) t (*.f64 (*.f64 (neg.f64 v) v) t))
(fma.f64 t #s(literal 1 binary64) (*.f64 t (*.f64 (neg.f64 v) v)))
(+.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (*.f64 (neg.f64 v) v) t))
(+.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 t (*.f64 (neg.f64 v) v)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (PI.f64) (*.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))))))
(neg.f64 (neg.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64)) t)
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64)))
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(*.f64 (*.f64 t (neg.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (neg.f64 t))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (neg.f64 (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (neg.f64 (PI.f64))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 (PI.f64) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))

eval183.0ms (2%)

Memory
-0.7MiB live, 427.2MiB allocated
Compiler

Compiled 35 864 to 2 889 computations (91.9% saved)

prune220.0ms (2.4%)

Memory
-10.7MiB live, 486.6MiB allocated
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New1 34041 344
Fresh257
Picked145
Done022
Total1 343151 358
Accuracy
100.0%
Counts
1 358 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓99.4%
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 t) (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)))))
98.7%
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (neg.f64 (PI.f64)) t)) (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(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓98.7%
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
▶98.8%
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
▶99.6%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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)))))
▶98.2%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓98.2%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
98.3%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
✓99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
✓98.7%
#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)))
✓98.6%
#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))))
▶98.6%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
98.5%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 410 to 289 computations (29.5% saved)

simplify96.0ms (1%)

Memory
17.4MiB live, 131.6MiB 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)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
cost-diff128
(fma.f64 (*.f64 t v) v (neg.f64 t))
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)))
cost-diff384
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
cost-diff384
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
cost-diff0
(*.f64 t (PI.f64))
cost-diff0
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
cost-diff512
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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)))))
Rules
6 260×lower-*.f32
6 242×lower-*.f64
2 926×lower-fma.f32
2 918×lower-fma.f64
2 244×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067410
0105407
1206407
2520400
32098400
46005400
08138389
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)) (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)) (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 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (PI.f64))
t
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
(PI.f64)
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #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)) (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)
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))))
(*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))
(PI.f64)
(fma.f64 (*.f64 t v) v (neg.f64 t))
(*.f64 t v)
t
(neg.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)) (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)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (*.f64 t (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)) (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) 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 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(literal 1 binary64)
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 t (PI.f64))
t
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
(PI.f64)
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 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 (*.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))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(neg.f64 (PI.f64))
(PI.f64)
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))))
#s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t))
(*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)
(PI.f64)
(fma.f64 (*.f64 t v) v (neg.f64 t))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) t)
(*.f64 t v)
t
(neg.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)

localize182.0ms (2%)

Memory
-0.8MiB live, 195.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))))
accuracy0.24609375
(*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))
accuracy0.2890625
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy0.4599800293053261
(*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy0.01171875
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64)))
accuracy0.35384750976844204
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
accuracy0.40234375
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy0.49233535786216037
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
accuracy0
(PI.f64)
accuracy0.2890625
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
accuracy0.4296875
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
accuracy0.49645305657744865
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
accuracy0.23828125
(*.f64 t (PI.f64))
accuracy0.29296875
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.4638862793053261
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.49645305657744865
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.00390625
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.01171875
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
accuracy0.35384750976844204
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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)))))
accuracy0.40234375
(*.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
141.0ms256×0valid
Compiler

Compiled 377 to 59 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 76.0ms (63.9% of total)
ival-div: 17.0ms (14.3% of total)
ival-sqrt: 9.0ms (7.6% of total)
ival-sub: 8.0ms (6.7% of total)
ival-add: 5.0ms (4.2% of total)
ival-neg: 2.0ms (1.7% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory
9.6MiB live, 85.1MiB allocated
Counts
25 → 420
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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))))) (patch (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 t (PI.f64)) (patch (*.f64 t (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) (patch (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (patch (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 1/2 binary64)) (patch (sqrt.f64 #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation binary64>) () ())
#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 (fma.f64 (*.f64 t v) v (neg.f64 t)) (patch (fma.f64 (*.f64 t v) v (neg.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.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 (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (patch #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #<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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))) (patch (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (patch #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) #<representation binary64>) () ())
Outputs
#s(alt (/ (sqrt 1/2) (* t (PI))) (taylor 0 v) (#s(alt (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (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)) (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>) () ())) ())
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#s(alt (* -1 (* t (+ 1 (* -1 (pow v 2))))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 t v) v (neg.f64 t)) (patch (fma.f64 (*.f64 t v) v (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) (taylor -inf t) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* t (- 1 (pow v 2))) (taylor -inf t) (#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 (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (patch #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (patch #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (patch #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) (taylor -inf t) (#s(alt #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (patch #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt 2)) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt 2)) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt 2)) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* t (sqrt 2)) (taylor -inf t) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) (taylor -inf t) (#s(alt (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (taylor -inf t) (#s(alt (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))) (patch (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (taylor -inf t) (#s(alt (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))) (patch (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (taylor -inf t) (#s(alt (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))) (patch (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (taylor -inf t) (#s(alt (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))) (patch (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (- 1 (pow v 2))))) (taylor -inf t) (#s(alt #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (patch #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (- 1 (pow v 2))))) (taylor -inf t) (#s(alt #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (patch #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (- 1 (pow v 2))))) (taylor -inf t) (#s(alt #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (patch #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (* (PI) (- 1 (pow v 2))))) (taylor -inf t) (#s(alt #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (patch #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
t
@-inf
((/ (/ (+ (* -5 (* v v)) 1) (PI)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (/ (/ (sqrt 1/2) t) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (sqrt 1/2) t) (sqrt 1/2) (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (+ (* (* t v) v) (neg t)) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) t) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (PI) (+ (* (* t v) v) (neg t))) (* (* (neg t) (PI)) (- 1 (* v v))))
7.0ms
v
@-inf
((/ (/ (+ (* -5 (* v v)) 1) (PI)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (/ (/ (sqrt 1/2) t) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (sqrt 1/2) t) (sqrt 1/2) (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (+ (* (* t v) v) (neg t)) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) t) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (PI) (+ (* (* t v) v) (neg t))) (* (* (neg t) (PI)) (- 1 (* v v))))
6.0ms
t
@inf
((/ (/ (+ (* -5 (* v v)) 1) (PI)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (/ (/ (sqrt 1/2) t) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (sqrt 1/2) t) (sqrt 1/2) (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (+ (* (* t v) v) (neg t)) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) t) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (PI) (+ (* (* t v) v) (neg t))) (* (* (neg t) (PI)) (- 1 (* v v))))
6.0ms
t
@0
((/ (/ (+ (* -5 (* v v)) 1) (PI)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (/ (/ (sqrt 1/2) t) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (sqrt 1/2) t) (sqrt 1/2) (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (+ (* (* t v) v) (neg t)) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) t) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (PI) (+ (* (* t v) v) (neg t))) (* (* (neg t) (PI)) (- 1 (* v v))))
3.0ms
v
@0
((/ (/ (+ (* -5 (* v v)) 1) (PI)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (/ (/ (sqrt 1/2) t) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (sqrt 1/2) t) (sqrt 1/2) (/ (/ (+ (* 5 (* v v)) -1) (neg (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 5 (* v v)) -1) (neg (PI))) (+ (* 5 (* v v)) -1) (+ (* (* t v) v) (neg t)) (/ (+ (* 5 (* v v)) -1) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* t (- 1 (* v v))) (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) t) (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (PI) (+ (* (* t v) v) (neg t))) (* (* (neg t) (PI)) (- 1 (* v v))))

simplify214.0ms (2.3%)

Memory
-13.4MiB live, 266.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 788×lower-fma.f64
8 788×lower-fma.f32
5 784×lower-*.f64
5 784×lower-*.f32
2 874×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05099620
116318710
268488671
083008240
Stop Event
1×iter limit
1×node limit
Counts
420 → 419
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))))
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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) (- 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 (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* 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))))))
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(* -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)))))))
(* -1 (* t (+ 1 (* -1 (pow v 2)))))
(* -1 (* t (+ 1 (* -1 (pow v 2)))))
(* -1 (* t (+ 1 (* -1 (pow v 2)))))
(* -1 (* t (+ 1 (* -1 (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))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 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)))))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2))))))
(* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2))))))
(* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2))))))
(* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2))))))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* (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 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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 (fma.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 #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 v (/.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) #s(literal -5/2 binary64) (/.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 #s(literal -53/8 binary64) (*.f64 v (/.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) 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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* (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 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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 (fma.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* -1 (* (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 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(+ (* (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))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 v) v) (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (/.f64 #s(literal -135/32 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (*.f64 v v) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))) (/.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
(/ 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))
(* -1 t)
(neg.f64 t)
(- (* t (pow v 2)) t)
(*.f64 (fma.f64 v v #s(literal -1 binary64)) t)
(- (* t (pow v 2)) t)
(*.f64 (fma.f64 v v #s(literal -1 binary64)) t)
(- (* t (pow v 2)) t)
(*.f64 (fma.f64 v v #s(literal -1 binary64)) t)
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* -1 (* (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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(* (/ (+ 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(* (/ (+ 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(* (/ (+ 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #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) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (*.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) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (*.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) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (*.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) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (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))
(/ 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))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(* (/ (- 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(* (/ (- 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(* (/ (- 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t))
(* -1 (* t (+ 1 (* -1 (pow v 2)))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) t)
(* -1 (* t (+ 1 (* -1 (pow v 2)))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) t)
(* -1 (* t (+ 1 (* -1 (pow v 2)))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) t)
(* -1 (* t (+ 1 (* -1 (pow v 2)))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) t)
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t))
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (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))))
(* 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)
(* (* 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))))
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2))))))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)
(* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2))))))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)
(* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2))))))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)
(* -1 (* t (* (PI) (+ 1 (* -1 (pow v 2))))))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)
(* -1 (* t (* (PI) (- 1 (pow v 2)))))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)

rewrite199.0ms (2.2%)

Memory
9.4MiB live, 285.5MiB allocated
Rules
4 320×lower-/.f32
4 304×lower-/.f64
4 060×lower-*.f32
4 042×lower-*.f64
3 580×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067330
0105327
1370326
22811324
08612323
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 962
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #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)) (neg.f64 (PI.f64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 (*.f64 t v) v (neg.f64 t))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(PI.f64)
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))
#s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t))))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))))
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(/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 t t) t)) (*.f64 (*.f64 v v) v) (*.f64 (*.f64 t t) (neg.f64 t)))) (fma.f64 (*.f64 (*.f64 (*.f64 t v) v) (*.f64 t v)) v (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) (*.f64 (*.f64 t v) v)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64))) (*.f64 (*.f64 t (PI.f64)) (*.f64 t (PI.f64)))) (-.f64 (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (neg.f64 t) (PI.f64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64))) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (*.f64 (*.f64 t t) (neg.f64 t)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (-.f64 (*.f64 (*.f64 t (PI.f64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (neg.f64 t) (PI.f64))))))
(fma.f64 (*.f64 (PI.f64) (*.f64 t v)) v (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 (*.f64 (PI.f64) v) (*.f64 t v) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 (*.f64 (*.f64 (*.f64 t v) v) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 (*.f64 (*.f64 (*.f64 t v) v) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 (*.f64 (*.f64 (*.f64 t v) v) #s(literal 1 binary64)) (PI.f64) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 (*.f64 (neg.f64 t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 (*.f64 (neg.f64 t) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 t v) v)) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 t)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 t v) v)) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (neg.f64 t)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 (*.f64 (*.f64 t v) v) (PI.f64) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 (neg.f64 t) (PI.f64) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 (*.f64 t v) (*.f64 v (PI.f64)) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 (neg.f64 (PI.f64)) t (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 (*.f64 t (PI.f64)) (*.f64 v v) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 t (*.f64 (*.f64 v v) (PI.f64)) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 t (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 (*.f64 t v) v) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 (PI.f64) (neg.f64 t) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (neg.f64 t) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
(fma.f64 v (*.f64 (*.f64 t v) (PI.f64)) (*.f64 (neg.f64 t) (PI.f64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64))) (-.f64 (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (neg.f64 t) (PI.f64)))) (/.f64 (*.f64 (*.f64 t (PI.f64)) (*.f64 t (PI.f64))) (-.f64 (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (neg.f64 t) (PI.f64)))))
(-.f64 (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 t (PI.f64)))
(+.f64 (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)) (*.f64 (neg.f64 t) (PI.f64)))
(+.f64 (*.f64 (neg.f64 t) (PI.f64)) (*.f64 (*.f64 (*.f64 t v) v) (PI.f64)))
#s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 t v) v (neg.f64 t)) (PI.f64)))

eval272.0ms (3%)

Memory
28.5MiB live, 369.9MiB allocated
Compiler

Compiled 52 673 to 3 840 computations (92.7% saved)

prune280.0ms (3.1%)

Memory
-19.5MiB live, 494.7MiB allocated
Pruning

16 alts after pruning (6 fresh and 10 done)

PrunedKeptTotal
New1 73831 741
Fresh134
Picked145
Done066
Total1 740161 756
Accuracy
100.0%
Counts
1 756 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓99.4%
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
99.4%
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
98.7%
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (neg.f64 (PI.f64)) t)) (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(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓98.7%
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
✓99.6%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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)))))
98.8%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
✓98.2%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓98.2%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
98.3%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
✓99.1%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
98.5%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
✓98.7%
#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)))
✓98.6%
#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))))
✓98.6%
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 904 to 311 computations (65.6% saved)

regimes61.0ms (0.7%)

Memory
8.4MiB live, 94.2MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (neg.f64 (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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #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))) (PI.f64)) t) (-.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 (neg.f64 t) (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 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)) (*.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)) (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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 t (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (/.f64 #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 (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 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))))
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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)))))
Calls

5 calls:

19.0ms
t
12.0ms
(*.f64 v v)
9.0ms
(*.f64 (PI.f64) t)
9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
9.0ms
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 46 to 30 computations (34.8% saved)

regimes56.0ms (0.6%)

Memory
11.5MiB live, 48.9MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (neg.f64 (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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #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))) (PI.f64)) t) (-.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 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Outputs
(/.f64 (-.f64 #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))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Calls

5 calls:

27.0ms
(/.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
t
7.0ms
v
6.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.5%1v
99.5%1t
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.5%1(*.f64 v v)
99.5%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes51.0ms (0.6%)

Memory
7.7MiB live, 45.5MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (neg.f64 (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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 t)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Calls

5 calls:

23.0ms
(*.f64 v 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
t
7.0ms
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 46 to 30 computations (34.8% saved)

regimes58.0ms (0.6%)

Memory
3.5MiB live, 41.2MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (neg.f64 (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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) 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)))))
Outputs
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Calls

5 calls:

34.0ms
(*.f64 (PI.f64) 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))))
6.0ms
t
6.0ms
v
5.0ms
(*.f64 v 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 46 to 30 computations (34.8% saved)

regimes33.0ms (0.4%)

Memory
-6.6MiB live, 37.6MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (* (* (neg t) (PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (neg.f64 (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 (-.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))))
Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
Calls

5 calls:

11.0ms
(*.f64 (PI.f64) 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
t
5.0ms
v
4.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.1%1v
99.1%1t
99.1%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.1%1(*.f64 v v)
99.1%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes40.0ms (0.4%)

Memory
-13.6MiB live, 24.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
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:

27.0ms
(*.f64 v v)
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
t
3.0ms
v
3.0ms
(*.f64 (PI.f64) t)
Results
AccuracySegmentsBranch
98.7%1v
98.7%1t
98.7%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.7%1(*.f64 v v)
98.7%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes10.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))))
Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
Calls

5 calls:

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))))
2.0ms
(*.f64 (PI.f64) t)
2.0ms
t
2.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.6%1v
98.6%1t
98.6%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))))
98.6%1(*.f64 v v)
98.6%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes68.0ms (0.7%)

Memory
-24.9MiB live, 13.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

63.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
1.0ms
(*.f64 (PI.f64) t)
1.0ms
t
1.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.2%1v
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 v v)
98.2%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify8.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
1×egg-herbie
Rules
42×*-commutative_binary64
14×+-commutative_binary64
14×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079262
1110262
2127262
3136262
4140262
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 (-.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))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #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) (*.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 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(/.f64 (-.f64 #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))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (PI.f64) (fma.f64 (*.f64 t v) v (neg.f64 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 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 t v) v (neg.f64 t)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (*.f64 #s(approx (* (* (neg t) (PI)) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #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) (*.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 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))

soundness1.2s (13.4%)

Memory
-15.5MiB live, 757.9MiB allocated
Rules
23 106×lower-fma.f64
23 106×lower-fma.f32
10 294×lower-fma.f64
10 294×lower-fma.f32
8 788×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01973
03273
112873
292367
0872061
05099620
116318710
268488671
083008240
061287
093287
1320282
22235282
08123275
056311
092303
1329303
22492300
08595296
061010145
120069387
084349035
01952113
15762013
224121898
080171805
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 472 to 267 computations (43.4% saved)

preprocess152.0ms (1.7%)

Memory
-5.7MiB live, 193.0MiB allocated
Remove

(negabs t)

(abs v)

Compiler

Compiled 744 to 390 computations (47.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...