Falkner and Boettcher, Equation (22+)

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze4.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 22 to 18 computations (18.2% saved)

sample1.5s (19.3%)

Memory
-99.3MiB live, 1 592.5MiB allocated
Samples
1.0s8 256×0valid
1.0ms12×0invalid
Precisions
Click to see histograms. Total time spent on operations: 854.0ms
ival-mult: 527.0ms (61.7% of total)
ival-sub: 133.0ms (15.6% of total)
ival-sqrt: 70.0ms (8.2% of total)
ival-div: 60.0ms (7% of total)
ival-pi: 37.0ms (4.3% of total)
exact: 18.0ms (2.1% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain217.0ms (2.9%)

Memory
-9.8MiB live, 195.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 3 binary64)
00-0-(*.f64 v v)
00-0-#s(literal 1 binary64)
00-0-#s(literal 4 binary64)
00-0-(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
00-0-(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
00-0-(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
00-0-(*.f64 #s(literal 3 binary64) (PI.f64))
00-0-#s(literal 6 binary64)
00-0-v
00-0-#s(literal 2 binary64)
00-0-(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
02(7.761336484494328e-163)0-(*.f64 #s(literal 6 binary64) (*.f64 v v))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-(PI.f64)
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
82.0ms512×0valid
Compiler

Compiled 194 to 52 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sub: 18.0ms (40.6% of total)
ival-mult: 15.0ms (33.8% of total)
ival-sqrt: 4.0ms (9% of total)
ival-div: 3.0ms (6.8% of total)
ival-pi: 2.0ms (4.5% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess152.0ms (2%)

Memory
-25.0MiB live, 89.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01840
15937
218436
367736
4213936
5447136
6665036
7753636
01620
02620
15118
212618
332518
493118
5154818
6291018
7588118
8782318
0801116
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Outputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 v v #s(literal -1 binary64)))
Symmetry

(abs v)

Compiler

Compiled 20 to 16 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Compiler

Compiled 20 to 16 computations (20% saved)

simplify125.0ms (1.7%)

Memory
15.7MiB live, 92.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
cost-diff1
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
cost-diff1
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff2
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01685
02685
15183
212683
332583
493183
5154883
6291083
7588183
8782383
0801176
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
#s(literal 2 binary64)
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 binary64)
Outputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 v v #s(literal -1 binary64)))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (PI.f64))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (PI.f64)))
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 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 6 binary64) (*.f64 v v)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 binary64)

localize36.0ms (0.5%)

Memory
9.1MiB live, 46.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.01953125
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
accuracy0.142910009768442
(*.f64 #s(literal 6 binary64) (*.f64 v v))
accuracy0.96875
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Samples
26.0ms256×0valid
Compiler

Compiled 87 to 18 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (57.3% of total)
ival-sub: 2.0ms (11.5% of total)
ival-div: 2.0ms (11.5% of total)
ival-sqrt: 2.0ms (11.5% of total)
ival-pi: 1.0ms (5.7% of total)
exact: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
5 → 33
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
(*.f64 #s(literal 6 binary64) (*.f64 v v))
Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
2
(+ 2 (* -6 (pow v 2)))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* 6 (pow v 2))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
v
@inf
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* 3 (PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* 6 (* v v)))
3.0ms
v
@0
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* 3 (PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* 6 (* v v)))
1.0ms
v
@-inf
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* 3 (PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* 6 (* v v)))

simplify236.0ms (3.1%)

Memory
-4.5MiB live, 180.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02001153
1620977
22566912
37481912
08115876
Stop Event
1×iter limit
1×node limit
Counts
33 → 33
Calls
Call 1
Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
2
(+ 2 (* -6 (pow v 2)))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* 6 (pow v 2))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(*.f64 (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 4/3 binary64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(*.f64 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 135/16 binary64) (PI.f64)) (/.f64 #s(literal 27/8 binary64) (PI.f64)))) (*.f64 v v) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) #s(literal 4/3 binary64) (/.f64 #s(literal 9/4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)))
(* 3 (PI))
(*.f64 #s(literal 3 binary64) (PI.f64))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(*.f64 (PI.f64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 3 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(* 3 (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(*.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64)) v) v (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64))) v) v (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64))) (*.f64 v v) (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v)))
(* 6 (pow v 2))
(*.f64 #s(literal 6 binary64) (*.f64 v v))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) v) v)) (pow.f64 v #s(literal 3 binary64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) v) v))) (pow.f64 v #s(literal 3 binary64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(/.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 5/1296 binary64) (PI.f64)) (/.f64 #s(literal 1/72 binary64) (PI.f64))) (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) v) v))) (pow.f64 v #s(literal 3 binary64)))
(* -3 (* (pow v 2) (PI)))
(*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -3 binary64))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) v) v) #s(literal -3 binary64))) v) v)
(* -6 (pow v 2))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(*.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 3 binary64) v) v))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(*.f64 (fma.f64 (+.f64 (/.f64 (*.f64 #s(literal 11/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 11/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))))) (pow.f64 v #s(literal 3 binary64)))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) v) v)) (neg.f64 (pow.f64 v #s(literal 3 binary64))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) v) v))) (neg.f64 (pow.f64 v #s(literal 3 binary64))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(/.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 5/1296 binary64) (PI.f64)) (/.f64 #s(literal 1/72 binary64) (PI.f64))) (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) v) v))) (neg.f64 (pow.f64 v #s(literal 3 binary64))))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(*.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 3 binary64)) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 3 binary64) v) v))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (*.f64 #s(literal 11/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 11/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))))))

rewrite245.0ms (3.2%)

Memory
11.0MiB live, 221.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01659
02659
110157
263657
3579857
0835151
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 450
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
(*.f64 #s(literal 6 binary64) (*.f64 v v))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 3 binary64)) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 3 binary64)) (PI.f64))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) #s(literal 3/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) #s(literal 3/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.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 -4/3 binary64) (*.f64 (fma.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 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.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 4 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) #s(literal 3/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) #s(literal 3 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (PI.f64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (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 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (fma.f64 (neg.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 4 binary64) (PI.f64)) (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)))
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.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 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (*.f64 (fma.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) (/.f64 #s(literal -4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 #s(literal -3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (*.f64 (fma.f64 (neg.f64 v) v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)))
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) #s(literal 3/4 binary64)))
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(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (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 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (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 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))))
(fma.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v)))
(fma.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (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 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))))
(fma.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
(fma.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(fma.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v)))
(fma.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))))
(fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v)))
(fma.f64 #s(literal 3 binary64) (*.f64 (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))) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (fma.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 (neg.f64 v) v) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (neg.f64 v) v)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (neg.f64 v) v)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (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))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (neg.f64 v)) v)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))))
(*.f64 (*.f64 #s(literal 6 binary64) v) v)
(*.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal 6 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 6 binary64))
(*.f64 v (*.f64 #s(literal 6 binary64) v))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))

eval148.0ms (2%)

Memory
-7.1MiB live, 119.3MiB allocated
Compiler

Compiled 14 027 to 1 780 computations (87.3% saved)

prune31.0ms (0.4%)

Memory
-8.2MiB live, 29.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4785483
Fresh000
Picked101
Done000
Total4795484
Accuracy
100.0%
Counts
484 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
▶98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
▶97.8%
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
▶99.2%
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶97.7%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
Compiler

Compiled 230 to 178 computations (22.6% saved)

simplify212.0ms (2.8%)

Memory
-6.5MiB live, 73.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) (PI.f64))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff1
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff2
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff0
(fma.f64 v v #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))
cost-diff0
(*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
cost-diff0
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
cost-diff0
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
cost-diff0
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
cost-diff1
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
cost-diff0
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
cost-diff0
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))
cost-diff1
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))
cost-diff2
(/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
cost-diff10
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052392
088407
1166377
2322359
3794359
41728359
52164359
63056359
74332359
86531359
08365350
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
#s(literal 4 binary64)
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 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))) #s(literal 3 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)
(*.f64 v v)
v
#s(literal 2 binary64)
#s(literal 3 binary64)
(PI.f64)
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))
(*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v)
(*.f64 (PI.f64) #s(literal 3 binary64))
(neg.f64 v)
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
#s(literal 4/3 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
#s(literal 4 binary64)
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
#s(literal 2 binary64)
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 binary64)
(*.f64 v v)
v
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
#s(literal 4/3 binary64)
(*.f64 (*.f64 (fma.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 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))
(fma.f64 v v #s(literal 1 binary64))
v
#s(literal 1 binary64)
(PI.f64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
#s(literal 4 binary64)
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
v
#s(literal 2 binary64)
#s(literal 3 binary64)
(PI.f64)
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) v) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) v))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))
(*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 (PI.f64) v))
(*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v)
(*.f64 (*.f64 (PI.f64) v) #s(literal 3 binary64))
(*.f64 (PI.f64) #s(literal 3 binary64))
(neg.f64 v)
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
#s(literal 4/3 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(literal 4 binary64)
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(PI.f64)
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 binary64)
(*.f64 v v)
v
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.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 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(literal 4/3 binary64)
(*.f64 (*.f64 (fma.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 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))
(fma.f64 v v #s(literal 1 binary64))
v
#s(literal 1 binary64)
(PI.f64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

localize200.0ms (2.7%)

Memory
11.6MiB live, 168.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.01171875
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.01953125
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy0.96875
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy0.00390625
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy0.0078125
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy0.0078125
(*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy0.01171875
(*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))
accuracy0.01953125
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
accuracy0.142910009768442
(*.f64 #s(literal 6 binary64) (*.f64 v v))
accuracy0.4524508686640232
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
accuracy0.96875
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
accuracy0.0
(sqrt.f64 #s(literal 1/2 binary64))
accuracy0.0
(PI.f64)
accuracy0.49334094695348024
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
accuracy1.0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy0.3046875
(*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v)
accuracy0.96875
(/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
accuracy0.98046875
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))
accuracy0.98828125
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Samples
104.0ms256×0valid
Compiler

Compiled 397 to 45 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 31.0ms (53% of total)
ival-div: 7.0ms (12% of total)
ival-sqrt: 7.0ms (12% of total)
ival-add: 5.0ms (8.6% of total)
const: 4.0ms (6.8% of total)
ival-sub: 2.0ms (3.4% 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)

series26.0ms (0.3%)

Memory
1.3MiB live, 38.7MiB allocated
Counts
25 → 108
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.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 (fma.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 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))
(fma.f64 v v #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v)
(PI.f64)
(*.f64 #s(literal 6 binary64) (*.f64 v v))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
Outputs
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(/ 4/3 (* (PI) (sqrt 2)))
(+ (* -4/9 (/ (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 2) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/3 (/ (* (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (* (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(* -3 (* (pow v 2) (PI)))
(* 3 (sqrt 2))
(+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2)))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 9 (/ 1 (sqrt 2))))))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -81/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 27/2 (/ 1 (pow (sqrt 2) 3))))) (* 9 (/ 1 (sqrt 2))))))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
2
(+ 2 (* -6 (pow v 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* (pow v 2) (PI)))
1
(+ 1 (pow v 2))
(* 3 (* v (PI)))
(* 6 (pow v 2))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))
(/ (- (* -4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))
(/ (- (* -1 (/ (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (pow v 4))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))
(/ (- (* -1 (/ (+ (* 4/27 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6))))) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (+ (* 1/3 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (* (PI) (sqrt -6)))) (* 4/9 (/ (+ (* -3/2 (/ (PI) (pow (sqrt -6) 3))) (* -3/2 (/ (PI) (pow (sqrt -6) 5)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (pow v 6))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow v 4) (* (pow (PI) 3) (pow (sqrt -6) 3))))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (+ (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow v 4) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))
(* 3 (* v (sqrt -6)))
(* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))))))
(/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (/ (- (* -4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (pow v 4))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 4/27 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6))))) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (+ (* 1/3 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (* (PI) (sqrt -6)))) (* 4/9 (/ (+ (* -3/2 (/ (PI) (pow (sqrt -6) 3))) (* -3/2 (/ (PI) (pow (sqrt -6) 5)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (pow v 6))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow v 4) (* (pow (PI) 3) (pow (sqrt -6) 3))))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (+ (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow v 4) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))
(* -3 (* v (sqrt -6)))
(* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
v
@inf
((+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (PI) 3) v) (neg v)) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (sqrt 1/2) (PI)) 4/3) (/ (sqrt 1/2) (PI)) (sqrt 1/2) (- 2 (* 6 (* v v))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2)))) (* (* 3 (PI)) (- 1 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) (* 3 (PI)) (* (* (PI) 3) v) (PI) (* 6 (* v v)) (sqrt (+ (* -6 (* v v)) 2)) (sqrt (+ (* (* v v) -6) 2)))
7.0ms
v
@0
((+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (PI) 3) v) (neg v)) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (sqrt 1/2) (PI)) 4/3) (/ (sqrt 1/2) (PI)) (sqrt 1/2) (- 2 (* 6 (* v v))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2)))) (* (* 3 (PI)) (- 1 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) (* 3 (PI)) (* (* (PI) 3) v) (PI) (* 6 (* v v)) (sqrt (+ (* -6 (* v v)) 2)) (sqrt (+ (* (* v v) -6) 2)))
4.0ms
v
@-inf
((+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (PI) 3) v) (neg v)) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (sqrt 1/2) (PI)) 4/3) (/ (sqrt 1/2) (PI)) (sqrt 1/2) (- 2 (* 6 (* v v))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2)))) (* (* 3 (PI)) (- 1 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) (* 3 (PI)) (* (* (PI) 3) v) (PI) (* 6 (* v v)) (sqrt (+ (* -6 (* v v)) 2)) (sqrt (+ (* (* v v) -6) 2)))

simplify211.0ms (2.8%)

Memory
-12.4MiB live, 174.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05384369
118113866
279083866
080353673
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(/ 4/3 (* (PI) (sqrt 2)))
(+ (* -4/9 (/ (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 2) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/3 (/ (* (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (* (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(* -3 (* (pow v 2) (PI)))
(* 3 (sqrt 2))
(+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2)))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 9 (/ 1 (sqrt 2))))))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -81/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 27/2 (/ 1 (pow (sqrt 2) 3))))) (* 9 (/ 1 (sqrt 2))))))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
2
(+ 2 (* -6 (pow v 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* (pow v 2) (PI)))
1
(+ 1 (pow v 2))
(* 3 (* v (PI)))
(* 6 (pow v 2))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))
(/ (- (* -4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))
(/ (- (* -1 (/ (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (pow v 4))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))
(/ (- (* -1 (/ (+ (* 4/27 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6))))) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (+ (* 1/3 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (* (PI) (sqrt -6)))) (* 4/9 (/ (+ (* -3/2 (/ (PI) (pow (sqrt -6) 3))) (* -3/2 (/ (PI) (pow (sqrt -6) 5)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (pow v 6))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow v 4) (* (pow (PI) 3) (pow (sqrt -6) 3))))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (+ (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow v 4) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))
(* 3 (* v (sqrt -6)))
(* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))))))
(/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (/ (- (* -4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (pow v 4))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 4/27 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6))))) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (+ (* 1/3 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (* (PI) (sqrt -6)))) (* 4/9 (/ (+ (* -3/2 (/ (PI) (pow (sqrt -6) 3))) (* -3/2 (/ (PI) (pow (sqrt -6) 5)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (pow v 6))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow v 4) (* (pow (PI) 3) (pow (sqrt -6) 3))))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (+ (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow v 4) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))
(* -3 (* v (sqrt -6)))
(* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
Outputs
(* 3 (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) v) v (fma.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -81/2 binary64))) v) v (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (*.f64 v v)))
(/ 4/3 (* (PI) (sqrt 2)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* -4/9 (/ (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 2) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(fma.f64 #s(literal -2/9 binary64) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2/9 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (PI.f64)) (PI.f64)) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) #s(literal 2 binary64)) #s(literal -4/27 binary64)) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v) (*.f64 #s(literal 2/9 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (PI.f64)) (PI.f64))))) (*.f64 v v) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/3 (/ (* (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (* (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
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(* -3 (* (pow v 2) (PI)))
(*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -3 binary64))
(* 3 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2)))
(fma.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal -9 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
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(/.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal -1/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (neg.f64 (pow.f64 v #s(literal 3 binary64))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(/.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal -5/2592 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v))) #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal -1/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 4 binary64)))))) (neg.f64 (pow.f64 v #s(literal 3 binary64))))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(*.f64 (*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal -6 binary64))) (PI.f64))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (PI.f64) v) (/.f64 (/.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (PI.f64) v) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (PI.f64) v) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (sqrt -6)))
(*.f64 (neg.f64 v) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(*.f64 (neg.f64 v) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 (neg.f64 v) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(*.f64 (neg.f64 v) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))))

rewrite262.0ms (3.5%)

Memory
-27.7MiB live, 324.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052291
088307
1294261
21593261
08523261
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 996
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.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 (fma.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 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))
(fma.f64 v v #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v)
(PI.f64)
(*.f64 #s(literal 6 binary64) (*.f64 v v))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 v v)))) (fma.f64 (PI.f64) #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 v v)))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 v (PI.f64)) #s(literal 3 binary64))) (neg.f64 v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 v v)))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 27 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 27 binary64)) (neg.f64 (pow.f64 v #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 v) (PI.f64)) (*.f64 #s(literal 3 binary64) v)))))))
(*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 v v)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 27 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 27 binary64)) (neg.f64 (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 v) (PI.f64)) (*.f64 #s(literal 3 binary64) v)))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 27 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 27 binary64)) (neg.f64 (pow.f64 v #s(literal 6 binary64))))) (pow.f64 (-.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 v) (PI.f64)) (*.f64 #s(literal 3 binary64) v)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v)) (*.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
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(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))

eval262.0ms (3.5%)

Memory
8.6MiB live, 444.5MiB allocated
Compiler

Compiled 43 538 to 4 875 computations (88.8% saved)

prune57.0ms (0.8%)

Memory
-14.8MiB live, 74.9MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1 23151 236
Fresh000
Picked325
Done000
Total1 23471 241
Accuracy
100.0%
Counts
1 241 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
▶97.8%
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
▶100.0%
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
▶99.3%
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶99.2%
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
✓97.7%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
Compiler

Compiled 256 to 216 computations (15.6% saved)

simplify104.0ms (1.4%)

Memory
24.4MiB live, 138.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (PI.f64) #s(literal 3 binary64))
cost-diff0
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
cost-diff0
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff0
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
cost-diff0
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
cost-diff0
(PI.f64)
cost-diff0
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
cost-diff0
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
cost-diff0
#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
cost-diff0
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
cost-diff0
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))
cost-diff0
(*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff1
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042343
067343
1112343
2167343
3326343
4721343
51229343
61602343
72888343
84238343
96107343
08296331
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
#s(literal 4/3 binary64)
(*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))
(neg.f64 v)
v
#s(literal 1 binary64)
(PI.f64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
#s(literal 4/3 binary64)
#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
#s(literal 4/3 binary64)
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
(PI.f64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
v
#s(literal 2 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
#s(literal 4 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(literal 4 binary64)
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
#s(literal 4/3 binary64)
(*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))
(neg.f64 v)
v
#s(literal 1 binary64)
(PI.f64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
#s(literal 4/3 binary64)
#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) #s(approx (* (+ (* v v) 1) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(literal 4/3 binary64)
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
(PI.f64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
v
#s(literal 2 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(literal 4 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))
#s(literal 4 binary64)
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)

localize157.0ms (2.1%)

Memory
-26.0MiB live, 181.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.01171875
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy0.01953125
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
accuracy0.4524508686640232
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
accuracy0.00390625
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.01953125
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
accuracy0.4524508686640232
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
accuracy0.96875
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
accuracy0.00390625
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy0.0078125
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy0.0078125
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy0.46549096498592096
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.0
(PI.f64)
accuracy0.0078125
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
accuracy0.4283851558102235
#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
accuracy0.0
(PI.f64)
accuracy0.00390625
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.01171875
(*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy0.02734375
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
Samples
97.0ms256×0valid
Compiler

Compiled 326 to 37 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 32.0ms (56.3% of total)
ival-div: 7.0ms (12.3% of total)
ival-add: 5.0ms (8.8% of total)
ival-sqrt: 5.0ms (8.8% of total)
const: 4.0ms (7% of total)
ival-pi: 1.0ms (1.8% of total)
ival-sub: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
21.7MiB live, 21.7MiB allocated
Counts
21 → 93
Calls
Call 1
Inputs
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* -1 (* (pow v 2) (PI))))
1
(+ 1 (* -1 (pow v 2)))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(+ (PI) (* (pow v 2) (PI)))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
2
(+ 2 (* -6 (pow v 2)))
(/ 4/3 (PI))
(+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))
(+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* -1 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(/ -4/3 (* (pow v 2) (PI)))
(* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))
(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2))) (* 4/3 (/ 1 (PI)))) (pow v 2))
(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 4))) (+ (* 4/3 (/ 1 (PI))) (/ 4/3 (* (pow v 2) (PI))))) (pow v 2))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
v
@inf
((/ 4/3 (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2)))) (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (* (neg v) v) 1) (PI)) (+ (* (neg v) v) 1) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) (PI)) (sqrt 2) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (PI) (/ 4 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2)) (+ (* (* v v) -6) 2) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (* (* 3 (PI)) (- 1 (* v v))) (* (PI) 3) (sqrt (+ (* -6 (* v v)) 2)))
2.0ms
v
@0
((/ 4/3 (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2)))) (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (* (neg v) v) 1) (PI)) (+ (* (neg v) v) 1) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) (PI)) (sqrt 2) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (PI) (/ 4 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2)) (+ (* (* v v) -6) 2) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (* (* 3 (PI)) (- 1 (* v v))) (* (PI) 3) (sqrt (+ (* -6 (* v v)) 2)))
2.0ms
v
@-inf
((/ 4/3 (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2)))) (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (* (neg v) v) 1) (PI)) (+ (* (neg v) v) 1) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) (PI)) (sqrt 2) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (PI) (/ 4 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2)) (+ (* (* v v) -6) 2) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (* (* 3 (PI)) (- 1 (* v v))) (* (PI) 3) (sqrt (+ (* -6 (* v v)) 2)))

simplify208.0ms (2.8%)

Memory
23.2MiB live, 213.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04043074
113292689
256232496
081082404
Stop Event
1×iter limit
1×node limit
Counts
93 → 93
Calls
Call 1
Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* -1 (* (pow v 2) (PI))))
1
(+ 1 (* -1 (pow v 2)))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(+ (PI) (* (pow v 2) (PI)))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
2
(+ 2 (* -6 (pow v 2)))
(/ 4/3 (PI))
(+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))
(+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* -1 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(/ -4/3 (* (pow v 2) (PI)))
(* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))
(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2))) (* 4/3 (/ 1 (PI)))) (pow v 2))
(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 4))) (+ (* 4/3 (/ 1 (PI))) (/ 4/3 (* (pow v 2) (PI))))) (pow v 2))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 4/3 binary64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(*.f64 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 27/16 binary64) (PI.f64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(fma.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 135/16 binary64) (PI.f64)) (/.f64 #s(literal 27/8 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v)) (fma.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 27/16 binary64) (PI.f64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(* (PI) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))
(fma.f64 (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64)) v) v (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64))) v) v (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64))) (*.f64 v v) (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(PI)
(PI.f64)
(+ (PI) (* -1 (* (pow v 2) (PI))))
(-.f64 (PI.f64) (*.f64 (*.f64 v v) (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 4/3 binary64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(*.f64 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v) (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(fma.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal -27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 v v) (-.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 v v) (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(fma.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(fma.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -21/4 binary64)) v) v)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64))) v) v (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -21/4 binary64))) (*.f64 v v) (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (PI) (* (pow v 2) (PI)))
(fma.f64 (*.f64 v v) (PI.f64) (PI.f64))
(* 3 (* (PI) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(*.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
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(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
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(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
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(/ -4/3 (* (pow v 2) (PI)))
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(* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))
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(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 4))) (+ (* 4/3 (/ 1 (PI))) (/ 4/3 (* (pow v 2) (PI))))) (pow v 2))
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(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
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(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal -1/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal -5/2592 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v))))) (neg.f64 (pow.f64 v #s(literal 3 binary64))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 (PI.f64) (*.f64 v v)) (PI.f64)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
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(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
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(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(*.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 3 binary64)) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))
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(* -1 (* v (sqrt -6)))
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(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
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rewrite173.0ms (2.3%)

Memory
-17.8MiB live, 263.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042256
067256
1228256
21184256
08734242
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 1 170
Calls
Call 1
Inputs
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -4/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -4/3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))))
(*.f64 (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) #s(literal 4/3 binary64))
(*.f64 #s(literal -4/3 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -4/3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)))
(/.f64 (neg.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -4/3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -4/3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -4/3 binary64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -4/3 binary64)))))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -4/3 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 v (-.f64 (pow.f64 v #s(literal 3 binary64)) v) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (fma.f64 v (-.f64 (pow.f64 v #s(literal 3 binary64)) v) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) (-.f64 v #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) (pow.f64 (fma.f64 v (-.f64 (pow.f64 v #s(literal 3 binary64)) v) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 v (-.f64 (pow.f64 v #s(literal 3 binary64)) v) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (PI.f64))
(*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))) (PI.f64))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)))
(*.f64 (fma.f64 v v #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (PI.f64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))))
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(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal -1/4 binary64))))
(/.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal -1/4 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))))
(neg.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(*.f64 (pow.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(pow.f64 (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal -1/4 binary64)))
(/.f64 #s(literal -4 binary64) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(/.f64 (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) #s(literal -1 binary64))
(/.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 12 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v))))) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))

eval244.0ms (3.2%)

Memory
35.3MiB live, 607.6MiB allocated
Compiler

Compiled 45 549 to 5 014 computations (89% saved)

prune55.0ms (0.7%)

Memory
-5.7MiB live, 118.2MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1 57641 580
Fresh000
Picked325
Done112
Total1 58071 587
Accuracy
100.0%
Counts
1 587 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
✓99.3%
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓99.2%
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
▶98.5%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
▶97.8%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
▶100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
✓97.7%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
Compiler

Compiled 141 to 117 computations (17% saved)

simplify147.0ms (2%)

Memory
-37.5MiB live, 175.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff0
(fma.f64 v v #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff1
(/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
cost-diff0
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
cost-diff0
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64))
cost-diff2
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
cost-diff0
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
cost-diff0
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64))
cost-diff2
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
cost-diff0
(fma.f64 v v #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
cost-diff0
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031300
049297
187295
2209295
3733295
42874295
54906295
08159291
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
#s(literal -4/3 binary64)
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
(fma.f64 v v #s(literal -1 binary64))
v
#s(literal -1 binary64)
(PI.f64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
#s(literal -1 binary64)
(*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
(PI.f64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal -3/4 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
#s(literal -1 binary64)
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
(fma.f64 v v #s(literal -1 binary64))
v
(PI.f64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 3/4 binary64)
(/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
#s(literal 4/3 binary64)
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 v v #s(literal -1 binary64))
v
#s(literal -1 binary64)
(*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(neg.f64 (PI.f64))
(PI.f64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(literal -4/3 binary64)
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
(*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v v #s(literal -1 binary64))
v
#s(literal -1 binary64)
(PI.f64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) #s(approx (* (+ (* v v) 1) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(literal -1 binary64)
(*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(*.f64 (*.f64 #s(literal -3/4 binary64) #s(approx (* (+ (* v v) 1) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
(PI.f64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal -3/4 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (fma.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 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (fma.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 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
(*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v v #s(literal -1 binary64))
v
(PI.f64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 3/4 binary64)
(/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(literal 4/3 binary64)
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (neg.f64 (PI.f64)) (*.f64 v v) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(fma.f64 v v #s(literal -1 binary64))
v
#s(literal -1 binary64)
(*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(neg.f64 (PI.f64))
(PI.f64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)

localize98.0ms (1.3%)

Memory
6.2MiB live, 169.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy0.00390625
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.015625
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy0.02734375
(/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
accuracy0.00390625
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.01171875
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy0.01171875
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64))
accuracy0.96875
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
accuracy0.0078125
(*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64))
accuracy0.0078125
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy0.46549096498592096
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
accuracy0.9765625
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
accuracy0.0
(PI.f64)
accuracy0.00390625
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.01171875
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy0.02734375
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
Samples
59.0ms256×0valid
Compiler

Compiled 325 to 31 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 18.0ms (44.3% of total)
const: 7.0ms (17.2% of total)
ival-div: 6.0ms (14.8% of total)
ival-add: 4.0ms (9.8% of total)
ival-sqrt: 2.0ms (4.9% of total)
ival-pi: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
28.4MiB live, 28.4MiB allocated
Counts
15 → 107
Calls
Call 1
Inputs
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
(fma.f64 v v #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
(*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(PI.f64)
Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* -4/3 (* (pow v 2) (- (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* -4/3 (* (pow v 2) (- (+ (* -1 (/ (sqrt 1/2) (PI))) (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* -4/3 (- (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* -4/3 (- (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* -4/3 (* (pow v 2) (- (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* -1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* -4/3 (- (+ (* -1 (/ (sqrt 1/2) (PI))) (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(* -1 (* (PI) (sqrt 2)))
(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))))))
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(* -1 (PI))
(+ (* -1 (PI)) (* (pow v 2) (PI)))
-1
(- (pow v 2) 1)
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(* -3/4 (* (PI) (sqrt 2)))
(+ (* -3/4 (* (PI) (sqrt 2))) (* -3/4 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2))))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/4 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))) (* -3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -3/4 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* -3/4 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* (pow v 2) (PI)))
(+ (* -3/4 (* (PI) (sqrt 2))) (* 3/4 (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2))))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3/4 (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 27/2 (/ (PI) (pow (sqrt 2) 5)))))) (* 3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))
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(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -1 (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 27/2 (/ (PI) (pow (sqrt 2) 5)))))) (* -1 (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))
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(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* 9/2 (/ (PI) (pow (sqrt 2) 3))) (* 27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))))))))
(sqrt 2)
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(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
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(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
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(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* -1 (/ (* (PI) (sqrt -6)) (pow v 2))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* (pow v 3) (+ (* -1 (/ (PI) (* (pow v 4) (sqrt -6)))) (+ (* -1 (/ (* (PI) (sqrt -6)) (pow v 2))) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
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(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (* -1 (/ (PI) (pow v 2)))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* -3/4 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2)))))))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(* 3/4 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))))))
(* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6)))))))
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(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))) (* -1 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6)))))))
(* -1 (* v (* (PI) (sqrt -6))))
(* v (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))))))
(* v (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3))))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))))) (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ (* (PI) (sqrt -6)) (pow v 2))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
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(* -1 (* (pow v 3) (+ (* -1 (/ (PI) (* (pow v 4) (sqrt -6)))) (+ (* -1 (/ (* (PI) (sqrt -6)) (pow v 2))) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2))))))
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(* -1 (* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))))))
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(* -1 (* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (* -1 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))) (* -1 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))))))))
(* v (* (PI) (sqrt -6)))
(* -1 (* v (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3))))))))
(* -1 (* v (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
v
@0
((/ -4/3 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2)))) (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (* v v) -1) (PI)) (+ (* v v) -1) (/ -1 (* (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) -3/4)) (* (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) -3/4) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (* v v) 1) (PI)) (/ -1 (* (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2))) 3/4)) (* (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2))) 3/4) (/ 4/3 (* (+ (* v v) -1) (* (neg (PI)) (sqrt (+ (* (* v v) -6) 2))))) (* (+ (* v v) -1) (* (neg (PI)) (sqrt (+ (* (* v v) -6) 2)))) (* (neg (PI)) (sqrt (+ (* (* v v) -6) 2))) (sqrt (+ (* (* v v) -6) 2)) (PI))
4.0ms
v
@inf
((/ -4/3 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2)))) (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (* v v) -1) (PI)) (+ (* v v) -1) (/ -1 (* (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) -3/4)) (* (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) -3/4) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (* v v) 1) (PI)) (/ -1 (* (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2))) 3/4)) (* (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2))) 3/4) (/ 4/3 (* (+ (* v v) -1) (* (neg (PI)) (sqrt (+ (* (* v v) -6) 2))))) (* (+ (* v v) -1) (* (neg (PI)) (sqrt (+ (* (* v v) -6) 2)))) (* (neg (PI)) (sqrt (+ (* (* v v) -6) 2))) (sqrt (+ (* (* v v) -6) 2)) (PI))
2.0ms
v
@-inf
((/ -4/3 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2)))) (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (* v v) -1) (PI)) (+ (* v v) -1) (/ -1 (* (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) -3/4)) (* (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) -3/4) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (* v v) 1) (PI)) (/ -1 (* (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2))) 3/4)) (* (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* (* v v) -6) 2))) 3/4) (/ 4/3 (* (+ (* v v) -1) (* (neg (PI)) (sqrt (+ (* (* v v) -6) 2))))) (* (+ (* v v) -1) (* (neg (PI)) (sqrt (+ (* (* v v) -6) 2)))) (* (neg (PI)) (sqrt (+ (* (* v v) -6) 2))) (sqrt (+ (* (* v v) -6) 2)) (PI))

simplify210.0ms (2.8%)

Memory
-14.9MiB live, 255.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04663957
116063480
272813457
080513294
Stop Event
1×iter limit
1×node limit
Counts
107 → 107
Calls
Call 1
Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* -4/3 (* (pow v 2) (- (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* -4/3 (* (pow v 2) (- (+ (* -1 (/ (sqrt 1/2) (PI))) (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* -4/3 (- (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* -4/3 (- (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* -4/3 (* (pow v 2) (- (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* -1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* -4/3 (- (+ (* -1 (/ (sqrt 1/2) (PI))) (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(* -1 (* (PI) (sqrt 2)))
(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))))))
(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* 9/2 (/ (PI) (pow (sqrt 2) 3))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 27/2 (/ (PI) (pow (sqrt 2) 5))))))))))))
(* -1 (PI))
(+ (* -1 (PI)) (* (pow v 2) (PI)))
-1
(- (pow v 2) 1)
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(* -3/4 (* (PI) (sqrt 2)))
(+ (* -3/4 (* (PI) (sqrt 2))) (* -3/4 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2))))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/4 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))) (* -3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -3/4 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* -3/4 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* (pow v 2) (PI)))
(+ (* -3/4 (* (PI) (sqrt 2))) (* 3/4 (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2))))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3/4 (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 27/2 (/ (PI) (pow (sqrt 2) 5)))))) (* 3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))
(+ (* -1 (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2))))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* -1 (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -1 (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 27/2 (/ (PI) (pow (sqrt 2) 5)))))) (* -1 (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))
(+ (* -1 (* (PI) (sqrt 2))) (* 3 (/ (* (pow v 2) (PI)) (sqrt 2))))
(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (* 9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))))))
(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* 9/2 (/ (PI) (pow (sqrt 2) 3))) (* 27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* -1 (/ (* (PI) (sqrt -6)) (pow v 2))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* (pow v 3) (+ (* -1 (/ (PI) (* (pow v 4) (sqrt -6)))) (+ (* -1 (/ (* (PI) (sqrt -6)) (pow v 2))) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* (pow v 3) (+ (* -1 (/ (PI) (* (pow v 4) (sqrt -6)))) (+ (* -1 (/ (* (PI) (sqrt -6)) (pow v 2))) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))))
(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (* -1 (/ (PI) (pow v 2)))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* -3/4 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2)))))))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(* 3/4 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))))))
(* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6)))))))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (* -1 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))) (* -1 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6)))))))
(* -1 (* v (* (PI) (sqrt -6))))
(* v (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))))))
(* v (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3))))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (+ (* -4/3 (/ (- (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* -4/3 (/ (- (/ (sqrt -1/6) (PI)) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))))) (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ (* (PI) (sqrt -6)) (pow v 2))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* (pow v 3) (+ (* -1 (/ (PI) (* (pow v 4) (sqrt -6)))) (+ (* -1 (/ (* (PI) (sqrt -6)) (pow v 2))) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))))
(* -1 (* (pow v 3) (+ (* -1 (/ (PI) (* (pow v 4) (sqrt -6)))) (+ (* -1 (/ (* (PI) (sqrt -6)) (pow v 2))) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* -1 (* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (* -1 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))) (* -1 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))))))))
(* v (* (PI) (sqrt -6)))
(* -1 (* v (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3))))))))
(* -1 (* v (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(+ (* -4/3 (* (pow v 2) (- (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -4/3 binary64)) (-.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* -4/3 (* (pow v 2) (- (+ (* -1 (/ (sqrt 1/2) (PI))) (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* -4/3 (- (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -4/3 binary64)) (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal -27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v) (-.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* -4/3 (- (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* -4/3 (* (pow v 2) (- (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* -1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* -4/3 (- (+ (* -1 (/ (sqrt 1/2) (PI))) (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -4/3 binary64)) (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal -135/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal -27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v) (-.f64 (-.f64 (/.f64 #s(literal -27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal -4/3 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(* -1 (* (PI) (sqrt 2)))
(*.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(fma.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) v) v (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))))))
(fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) v) v (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (*.f64 v v)))
(+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* 9/2 (/ (PI) (pow (sqrt 2) 3))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 27/2 (/ (PI) (pow (sqrt 2) 5))))))))))))
(fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal 27/2 binary64))) v) v (fma.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (*.f64 v v)))
(* -1 (PI))
(neg.f64 (PI.f64))
(+ (* -1 (PI)) (* (pow v 2) (PI)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
-1
#s(literal -1 binary64)
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 4/3 binary64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(fma.f64 (*.f64 (*.f64 v v) #s(literal 4/3 binary64)) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v) (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal 4/3 binary64)) (fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal -27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 v v) (-.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(* -3/4 (* (PI) (sqrt 2)))
(*.f64 #s(literal -3/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* -3/4 (* (PI) (sqrt 2))) (* -3/4 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal -3/4 binary64))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/4 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))) (* -3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))))
(fma.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (*.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 v v)) (fma.f64 (*.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) v) v (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -3/4 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* -3/4 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))))))
(fma.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 v v)) (fma.f64 (*.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) v) v (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal -3/4 binary64))) (*.f64 v v)))
(* (PI) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) v) v (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) v) v (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(PI)
(PI.f64)
(+ (PI) (* (pow v 2) (PI)))
(fma.f64 (*.f64 v v) (PI.f64) (PI.f64))
(+ (* -3/4 (* (PI) (sqrt 2))) (* 3/4 (* (pow v 2) (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3/4 binary64)) v) v (*.f64 #s(literal -3/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3/4 (+ (* 3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))))
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(*.f64 (*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) #s(literal -3/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) v) v)))
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2)))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (*.f64 #s(literal -3/4 binary64) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (+.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) v) v)))))
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))) (* -3/4 (/ (+ (* (PI) (sqrt -6)) (/ (PI) (sqrt -6))) (pow v 2))))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) v) v)) #s(literal -3/4 binary64) (*.f64 #s(literal -3/4 binary64) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal 1/2 binary64))) (pow.f64 v #s(literal 6 binary64)))))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) v) (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (fma.f64 (/.f64 (PI.f64) v) (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64) (fma.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal 1/2 binary64) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (fma.f64 (/.f64 (PI.f64) v) (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))))
(* -1 (* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))))))
(*.f64 (*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) #s(literal 3/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (neg.f64 (PI.f64)) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4)))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (*.f64 #s(literal 3/4 binary64) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (neg.f64 (PI.f64)) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))))))
(* -1 (* (pow v 3) (+ (* 3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (*.f64 #s(literal 3/4 binary64) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (neg.f64 (PI.f64)) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -6 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (neg.f64 (PI.f64)) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (* -1 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4)))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64))))) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (neg.f64 (PI.f64)) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (+ (* -1 (* (PI) (sqrt -6))) (/ (PI) (sqrt -6))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* -1/2 (/ (PI) (pow (sqrt -6) 3)))) (pow v 4))) (* -1 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* 1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -1/12 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (neg.f64 (PI.f64)) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))))
(* v (* (PI) (sqrt -6)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) v)
(* -1 (* v (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(*.f64 (neg.f64 v) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))
(* -1 (* v (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3))))))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) #s(literal -1/12 binary64) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))))
(* -1 (* v (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))))))))
(*.f64 (neg.f64 v) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -1/12 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))
(* -1 (* v (sqrt -6)))
(*.f64 (neg.f64 v) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(*.f64 (neg.f64 v) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 (neg.f64 v) (fma.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(*.f64 (neg.f64 v) (fma.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))

rewrite347.0ms (4.6%)

Memory
10.5MiB live, 416.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031190
049187
1167185
2990185
08905181
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 769
Calls
Call 1
Inputs
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
(fma.f64 v v #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
(*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(PI.f64)
Outputs
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (PI.f64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (neg.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (PI.f64)) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 v (+.f64 (pow.f64 v #s(literal 3 binary64)) v) #s(literal 1 binary64)) (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (PI.f64))) (/.f64 (fma.f64 v (+.f64 (pow.f64 v #s(literal 3 binary64)) v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 (fma.f64 v (+.f64 (pow.f64 v #s(literal 3 binary64)) v) #s(literal 1 binary64)) (neg.f64 (PI.f64))))
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(*.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.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 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 12 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v))))) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (exp.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (exp.f64 (log.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #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 (PI.f64) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 #s(literal 0 binary64) (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)

eval473.0ms (6.3%)

Memory
-4.0MiB live, 947.1MiB allocated
Compiler

Compiled 81 275 to 7 793 computations (90.4% saved)

prune87.0ms (1.2%)

Memory
13.4MiB live, 170.6MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2 86622 868
Fresh000
Picked134
Done033
Total2 86782 875
Accuracy
100.0%
Counts
2 875 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓99.2%
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
✓98.5%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
✓97.8%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
99.3%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (+ (* v v) 1) (PI)) (PI.f64))))
100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))))
✓100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
✓97.7%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
Compiler

Compiled 510 to 239 computations (53.1% saved)

regimes19.0ms (0.2%)

Memory
-2.1MiB live, 35.8MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (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 -3/4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (+ (* v v) 1) (PI)) (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.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 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
Outputs
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
Calls

4 calls:

6.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
5.0ms
v
4.0ms
(*.f64 v v)
4.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Results
AccuracySegmentsBranch
100.0%1v
100.0%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
100.0%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
100.0%1(*.f64 v v)
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes11.0ms (0.1%)

Memory
-15.0MiB live, 22.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (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 -3/4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (+ (* v v) 1) (PI)) (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (+ (* v v) 1) (PI)) (PI.f64))))
Calls

4 calls:

4.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
2.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Results
AccuracySegmentsBranch
99.3%1v
99.3%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
99.3%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
99.3%1(*.f64 v v)
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes6.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Calls

4 calls:

2.0ms
v
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
1.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.3%1v
99.3%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
99.3%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
99.3%1(*.f64 v v)
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes6.0ms (0.1%)

Memory
-21.6MiB live, 17.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
Outputs
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
Calls

4 calls:

2.0ms
v
1.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.2%1v
99.2%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
99.2%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
99.2%1(*.f64 v v)
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes4.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
Outputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
Calls

4 calls:

1.0ms
v
1.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
97.7%1v
97.7%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
97.7%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
97.7%1(*.f64 v v)
Compiler

Compiled 42 to 33 computations (21.4% saved)

simplify66.0ms (0.9%)

Memory
-3.8MiB live, 40.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052106
185106
2176106
3422106
41085106
51790106
63708106
76133106
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (+ (* v v) 1) (PI)) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
Outputs
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (+ (* v v) 1) (PI)) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))

soundness1.2s (15.4%)

Memory
-1.3MiB live, 752.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02001153
1620977
22566912
37481912
08115876
052291
088307
1294261
21593261
08523261
01659
02659
110157
263657
3579857
0835151
05384369
118113866
279083866
080353673
031190
049187
1167185
2990185
08905181
042256
067256
1228256
21184256
08734242
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 242 to 146 computations (39.7% saved)

preprocess49.0ms (0.6%)

Memory
-5.5MiB live, 81.7MiB allocated
Remove

(abs v)

Compiler

Compiled 284 to 166 computations (41.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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