Falkner and Boettcher, Equation (22+)

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
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)

sample1.2s (23.1%)

Memory
61.7MiB live, 935.0MiB allocated; 336ms collecting garbage
Samples
827.0ms8 256×0valid
1.0ms12×0invalid
Precisions
Click to see histograms. Total time spent on operations: 521.0ms
ival-mult!: 217.0ms (41.6% of total)
ival-sqrt: 145.0ms (27.8% of total)
ival-sub!: 114.0ms (21.9% of total)
ival-div!: 44.0ms (8.4% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess135.0ms (2.6%)

Memory
-45.6MiB live, 52.8MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02660
19655
230254
3131754
4748454
Stop Event
1×node-limit
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))))))
Symmetry

(abs v)

Compiler

Compiled 34 to 32 computations (5.9% saved)

series13.0ms (0.3%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Counts
16 → 51
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
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* 3 (* (pow v 2) (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* (pow v 2) (+ (* 3 (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (* (pow v 2) (* (PI) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5))))))))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* 3 (PI))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (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))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 2))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* 6 (* v v)) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* 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))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole 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)))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
v
@inf
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) 3 (PI) (- 1 (* v v)) 1 (* v v) v (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) 2 (* 6 (* v v)) 6)
4.0ms
v
@0
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) 3 (PI) (- 1 (* v v)) 1 (* v v) v (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) 2 (* 6 (* v v)) 6)
2.0ms
v
@-inf
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) 3 (PI) (- 1 (* v v)) 1 (* v v) v (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) 2 (* 6 (* v v)) 6)

rewrite875.0ms (16.8%)

Memory
-1.3MiB live, 429.5MiB allocated; 89ms collecting garbage
Counts
67 → 110
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)
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* 3 (* (pow v 2) (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* (pow v 2) (+ (* 3 (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (* (pow v 2) (* (PI) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5))))))))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* 3 (PI))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (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))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 2))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* 6 (* v v)) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* 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))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole 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)))))))))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 3 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -3 binary64))
(PI.f64)
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 #s(literal 1 binary64) (*.f64 v v)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 v v)
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
v
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(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)))
(+.f64 (*.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)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(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 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 #s(literal 6 binary64) (*.f64 v v))
(*.f64 (*.f64 #s(literal 6 binary64) v) v)
(*.f64 (*.f64 v v) #s(literal 6 binary64))
#s(literal 6 binary64)
(neg.f64 #s(literal -6 binary64))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (fma.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 v v) (/.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (PI.f64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (fma.f64 (fma.f64 (neg.f64 (*.f64 v v)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 v v) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (*.f64 v v)) (fma.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (PI.f64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 27/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 5 binary64)))) (*.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (*.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (PI.f64)))) (/.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 v v) (*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 v v) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64))))))) (*.f64 v v) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 27/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 5 binary64))))))) (*.f64 v v) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) (*.f64 #s(literal 3 binary64) (PI.f64)))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64) (*.f64 #s(literal 3 binary64) (PI.f64))))
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (- 1 (* v v)) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (sqrt (+ 2 (* (* v v) -6))) #s(literal 2 binary64))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/2 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 v v) #s(literal 2 binary64)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -27/2 binary64) (*.f64 v v)) (pow.f64 #s(literal 2 binary64) #s(literal 5 binary64))) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 v v)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 v v) #s(literal 2 binary64)))
#s(approx (+ 2 (* (* v v) -6)) #s(literal 2 binary64))
#s(approx (+ 2 (* (* v v) -6)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
#s(approx (* 6 (* v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) #s(literal -6 binary64))))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64))))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64)))) (*.f64 (*.f64 v v) v)))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (PI.f64))) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64))))) (*.f64 (*.f64 v v) v)))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) (neg.f64 #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (PI.f64))) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) #s(literal -6 binary64)) (*.f64 #s(literal 4/3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64))))))) (*.f64 (*.f64 v v) v)))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) #s(literal -6 binary64))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 v v))) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64)))) (*.f64 (*.f64 v v) v)))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 v v)))) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64)))) (*.f64 (*.f64 v v) v)))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64)) (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 v v)))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) (neg.f64 #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)))) (PI.f64))) (pow.f64 v #s(literal 6 binary64))))) (*.f64 (*.f64 v v) v)))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) (*.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 v v))))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) (*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (*.f64 v v)) (*.f64 #s(literal -3 binary64) (PI.f64))) (*.f64 v v)))
#s(approx (- 1 (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (*.f64 #s(literal -6 binary64) v))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal -6 binary64)) v))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (pow.f64 v #s(literal 4 binary64))))) v))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (pow.f64 v #s(literal 4 binary64))))) v))
#s(approx (+ 2 (* (* v v) -6)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
#s(approx (+ 2 (* (* v v) -6)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) #s(literal -6 binary64))))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64))))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64)))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (PI.f64))) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64))))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) (neg.f64 #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (PI.f64))) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) #s(literal -6 binary64)) (*.f64 #s(literal 4/3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64))))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) #s(literal -6 binary64))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 v v))) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64)))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 v v)))) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64)))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64)) (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 v v)))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) (neg.f64 #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)))) (PI.f64))) (pow.f64 v #s(literal 6 binary64))))) (*.f64 (*.f64 v v) v))))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (neg.f64 (*.f64 #s(literal -6 binary64) v)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal -6 binary64)) v)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (pow.f64 v #s(literal 4 binary64))))) v)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (pow.f64 v #s(literal 4 binary64))))) v)))

eval14.0ms (0.3%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 677 to 581 computations (65.4% saved)

prune9.0ms (0.2%)

Memory
-35.0MiB live, 11.5MiB allocated; 2ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New89897
Fresh000
Picked101
Done000
Total90898
Accuracy
100.0%
Counts
98 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
▶98.5%
(/.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 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
▶20.3%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(approx (sqrt (+ 2 (* (* v v) -6))) #s(literal 2 binary64))))
▶98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
44.7%
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* 3 (* (PI) (- 1 (* v v)))) (*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (*.f64 v v)) (*.f64 #s(literal -3 binary64) (PI.f64))) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
97.2%
(/.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))))))
20.3%
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
▶20.3%
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
Compiler

Compiled 340 to 316 computations (7.1% saved)

series15.0ms (0.3%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Counts
33 → 77
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
#s(literal 4 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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 4/3 binary64)
(*.f64 (PI.f64) #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))) #s(approx (sqrt (+ 2 (* (* v v) -6))) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(approx (sqrt (+ 2 (* (* v v) -6))) #s(literal 2 binary64)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #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 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
Outputs
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ 4/3 (PI))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* 3 (PI))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (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))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* 3 (* (pow v 2) (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* (pow v 2) (+ (* 3 (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (* (pow v 2) (* (PI) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5))))))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 4))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (+ 4 (* -36 (pow v 4)))))
#s(approx (* (* -6 (* v v)) (* -6 (* v v))) #s(hole binary64 (* 36 (pow v 4))))
#s(approx (* -6 (* v v)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (- 2 (* -6 (* v v))) #s(hole binary64 (+ 2 (* 6 (pow v 2)))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ -4/3 (* (pow v 2) (PI)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2))) (* 4/3 (/ 1 (PI)))) (pow v 2))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ (- (* -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))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* 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))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (* -36 (pow v 4))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (* (pow v 4) (- (* 4 (/ 1 (pow v 4))) 36))))
#s(approx (- 2 (* -6 (* v v))) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (- 2 (* -6 (* v v))) #s(hole binary64 (* (pow v 2) (+ 6 (* 2 (/ 1 (pow v 2)))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole 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)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
v
@inf
((/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) 4 (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) 3 (PI) (- 1 (* v v)) 1 (* v v) v (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6 2 (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/ 4/3 (* (PI) 2)) 4/3 (* (PI) 2) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) (sqrt (+ 2 (* (* v v) -6))) (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))) (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))) (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (* (* -6 (* v v)) (* -6 (* v v))) (* -6 (* v v)) (- 2 (* -6 (* v v))))
4.0ms
v
@0
((/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) 4 (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) 3 (PI) (- 1 (* v v)) 1 (* v v) v (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6 2 (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/ 4/3 (* (PI) 2)) 4/3 (* (PI) 2) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) (sqrt (+ 2 (* (* v v) -6))) (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))) (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))) (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (* (* -6 (* v v)) (* -6 (* v v))) (* -6 (* v v)) (- 2 (* -6 (* v v))))
3.0ms
v
@-inf
((/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) 4 (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) 3 (PI) (- 1 (* v v)) 1 (* v v) v (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6 2 (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/ 4/3 (* (PI) 2)) 4/3 (* (PI) 2) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) (sqrt (+ 2 (* (* v v) -6))) (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))) (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))) (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (* (* -6 (* v v)) (* -6 (* v v))) (* -6 (* v v)) (- 2 (* -6 (* v v))))

rewrite903.0ms (17.4%)

Memory
-12.1MiB live, 939.0MiB allocated; 274ms collecting garbage
Counts
110 → 179
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
#s(literal 4 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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 4/3 binary64)
(*.f64 (PI.f64) #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))) #s(approx (sqrt (+ 2 (* (* v v) -6))) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(approx (sqrt (+ 2 (* (* v v) -6))) #s(literal 2 binary64)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #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 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ 4/3 (PI))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* 3 (PI))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (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))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* 3 (* (pow v 2) (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
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#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 4))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (+ 4 (* -36 (pow v 4)))))
#s(approx (* (* -6 (* v v)) (* -6 (* v v))) #s(hole binary64 (* 36 (pow v 4))))
#s(approx (* -6 (* v v)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (- 2 (* -6 (* v v))) #s(hole binary64 (+ 2 (* 6 (pow v 2)))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ -4/3 (* (pow v 2) (PI)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2))) (* 4/3 (/ 1 (PI)))) (pow v 2))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ (- (* -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))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* 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))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
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#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (* -36 (pow v 4))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (* (pow v 4) (- (* 4 (/ 1 (pow v 4))) 36))))
#s(approx (- 2 (* -6 (* v v))) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (- 2 (* -6 (* v v))) #s(hole binary64 (* (pow v 2) (+ 6 (* 2 (/ 1 (pow v 2)))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole 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)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
#s(literal 4 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.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 (neg.f64 v) v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 #s(literal 1 binary64) (*.f64 v v)))))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(*.f64 v v)
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
v
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(+.f64 (*.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)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 v v)) #s(literal -6 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 #s(literal -6 binary64)) (*.f64 v v)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.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))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(literal 4/3 binary64)) (neg.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))
#s(literal 4/3 binary64)
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(literal 2 binary64)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(/.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 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
(/.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.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 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.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 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))
(pow.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))
(+.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))
(/.f64 (-.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(*.f64 (fabs.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v))) (fabs.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(*.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v))) (neg.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(*.f64 #s(literal -6 binary64) (*.f64 (*.f64 v v) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal -6 binary64)) (*.f64 v v))
(pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(*.f64 (*.f64 #s(literal -6 binary64) v) v)
(*.f64 v (*.f64 v #s(literal -6 binary64)))
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eval33.0ms (0.6%)

Memory
16.8MiB live, 64.0MiB allocated; 17ms collecting garbage
Compiler

Compiled 4 243 to 1 138 computations (73.2% saved)

prune10.0ms (0.2%)

Memory
25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2397246
Fresh213
Picked325
Done000
Total24410254
Accuracy
100.0%
Counts
254 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
▶100.0%
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
98.7%
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
▶98.7%
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (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 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
▶97.2%
(/.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))))))
97.1%
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
✓20.3%
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
▶98.6%
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 381 to 363 computations (4.7% saved)

series16.0ms (0.3%)

Memory
-14.9MiB live, 30.7MiB allocated; 6ms collecting garbage
Counts
40 → 77
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64)))
#s(literal 4 binary64)
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
#s(literal 4/3 binary64)
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.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)))
(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)))
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 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 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
#s(approx (- 2 (* -6 (* v v))) (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))
Outputs
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (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))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ 4/3 (PI))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* 3 (* (pow v 2) (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* (pow v 2) (+ (* 3 (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (* (pow v 2) (* (PI) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5))))))))))))))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) #s(hole binary64 (* 3 (PI))))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (* 6 (* v v)) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 4))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (+ 4 (* -36 (pow v 4)))))
#s(approx (* (* -6 (* v v)) (* -6 (* v v))) #s(hole binary64 (* 36 (pow v 4))))
#s(approx (* -6 (* v v)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (- 2 (* -6 (* v v))) #s(hole binary64 (+ 2 (* 6 (pow v 2)))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* 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))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ -4/3 (* (pow v 2) (PI)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2))) (* 4/3 (/ 1 (PI)))) (pow v 2))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ (- (* -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))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (* -36 (pow v 4))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (* (pow v 4) (- (* 4 (/ 1 (pow v 4))) 36))))
#s(approx (- 2 (* -6 (* v v))) #s(hole binary64 (* (pow v 2) (+ 6 (* 2 (/ 1 (pow v 2)))))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole 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)))))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
v
@0
((/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (* 3 (PI))) 4 (* 3 (PI)) 3 (PI) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)) 1 (* v v) v (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6 2 (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/ 4/3 (* (PI) (sqrt 2))) 4/3 (* (PI) (sqrt 2)) (sqrt 2) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/ 4/3 (PI)) (/ 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)))) (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) (* 6 (* v v)) 6 (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))))) (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))) (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))) (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (* (* -6 (* v v)) (* -6 (* v v))) (* -6 (* v v)) (- 2 (* -6 (* v v))) (+ (* 6 (* v v)) 2))
3.0ms
v
@inf
((/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (* 3 (PI))) 4 (* 3 (PI)) 3 (PI) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)) 1 (* v v) v (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6 2 (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/ 4/3 (* (PI) (sqrt 2))) 4/3 (* (PI) (sqrt 2)) (sqrt 2) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/ 4/3 (PI)) (/ 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)))) (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) (* 6 (* v v)) 6 (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))))) (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))) (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))) (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (* (* -6 (* v v)) (* -6 (* v v))) (* -6 (* v v)) (- 2 (* -6 (* v v))) (+ (* 6 (* v v)) 2))
3.0ms
v
@-inf
((/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (* 3 (PI))) 4 (* 3 (PI)) 3 (PI) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)) 1 (* v v) v (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6 2 (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/ 4/3 (* (PI) (sqrt 2))) 4/3 (* (PI) (sqrt 2)) (sqrt 2) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/ 4/3 (PI)) (/ 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)))) (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) (* 6 (* v v)) 6 (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))))) (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v))))) (/ (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (- 2 (* -6 (* v v)))) (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) (* (* -6 (* v v)) (* -6 (* v v))) (* -6 (* v v)) (- 2 (* -6 (* v v))) (+ (* 6 (* v v)) 2))

rewrite903.0ms (17.4%)

Memory
35.5MiB live, 874.0MiB allocated; 217ms collecting garbage
Counts
117 → 181
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64)))
#s(literal 4 binary64)
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
#s(literal 4/3 binary64)
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.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)))
(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)))
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 binary64)
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(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
#s(approx (- 2 (* -6 (* v v))) (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(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
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#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
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#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ 4/3 (PI))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))))
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#s(approx (* 3 (* (PI) (- 1 (* v v)))) #s(hole binary64 (* 3 (PI))))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (* 6 (* v v)) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 4))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (+ 4 (* -36 (pow v 4)))))
#s(approx (* (* -6 (* v v)) (* -6 (* v v))) #s(hole binary64 (* 36 (pow v 4))))
#s(approx (* -6 (* v v)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (- 2 (* -6 (* v v))) #s(hole binary64 (+ 2 (* 6 (pow v 2)))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* 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))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ -4/3 (* (pow v 2) (PI)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2))) (* 4/3 (/ 1 (PI)))) (pow v 2))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ (- (* -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))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (* -36 (pow v 4))))
#s(approx (- 4 (* (* -6 (* v v)) (* -6 (* v v)))) #s(hole binary64 (* (pow v 4) (- (* 4 (/ 1 (pow v 4))) 36))))
#s(approx (- 2 (* -6 (* v v))) #s(hole binary64 (* (pow v 2) (+ 6 (* 2 (/ 1 (pow v 2)))))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole 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)))))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64)))
(/.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (PI.f64))
#s(literal 4 binary64)
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(PI.f64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 #s(literal 1 binary64) (*.f64 v v)))))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(*.f64 v v)
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
v
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(+.f64 (*.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)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 #s(literal -6 binary64)) (*.f64 v v)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.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))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(approx (/ (/ 4 (* 3 (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(literal 4/3 binary64)) (neg.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 4/3 binary64)
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.f64 (neg.f64 #s(literal 4/3 binary64)) (neg.f64 (PI.f64)))
(/.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)))
(pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 #s(literal 6 binary64)) (*.f64 v v)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(*.f64 #s(literal 6 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 6 binary64))
(*.f64 (*.f64 #s(literal 6 binary64) v) v)
#s(literal 6 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 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
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#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) v)))
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#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (/.f64 (pow.f64 v (neg.f64 #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64)))) (fma.f64 (/.f64 (pow.f64 v (neg.f64 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64))))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)))) (*.f64 (*.f64 v v) v))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) (neg.f64 #s(literal 5 binary64))))) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (fma.f64 (/.f64 (pow.f64 v (neg.f64 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64))))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))) (/.f64 (pow.f64 v (neg.f64 #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)))) (*.f64 (*.f64 v v) v))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))))) v)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (neg.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)))) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (/.f64 (pow.f64 v (neg.f64 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64))))) #s(literal 1/2 binary64))) v)))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) (sqrt.f64 #s(literal -6 binary64))) #s(literal 3 binary64)))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (neg.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) #s(literal 3 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (*.f64 (*.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) (neg.f64 #s(literal 5 binary64))))) (PI.f64))) (pow.f64 v #s(literal 6 binary64))))) (*.f64 (*.f64 v v) v))))

eval73.0ms (1.4%)

Memory
-40.6MiB live, 64.6MiB allocated; 43ms collecting garbage
Compiler

Compiled 3 768 to 1 062 computations (71.8% saved)

prune11.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New2051206
Fresh123
Picked055
Done022
Total20610216
Accuracy
100.0%
Counts
216 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓100.0%
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶98.7%
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓98.7%
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (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 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
✓97.2%
(/.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))))))
▶97.1%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
✓20.3%
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
✓98.6%
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 210 to 200 computations (4.8% saved)

series12.0ms (0.2%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
23 → 62
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 4 binary64)
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(sqrt.f64 #s(literal 2 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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4 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)))
(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
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 #s(literal 4 binary64) #s(literal 3 binary64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
Outputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* 3 (* (pow v 2) (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* (pow v 2) (+ (* 3 (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (* (pow v 2) (* (PI) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5))))))))))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ 4/3 (PI))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* 3 (PI))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (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))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (PI) (- 1 (* v v))) #s(hole binary64 (PI)))
#s(approx (* (PI) (- 1 (* v v))) #s(hole binary64 (+ (PI) (* -1 (* (pow v 2) (PI))))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ -4/3 (* (pow v 2) (PI)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2))) (* 4/3 (/ 1 (PI)))) (pow v 2))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (/ (- (* -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))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* 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))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (* (PI) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 2) (PI)))))
#s(approx (* (PI) (- 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
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#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole 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)))))))))
Calls

3 calls:

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

rewrite805.0ms (15.5%)

Memory
24.7MiB live, 495.6MiB allocated; 100ms collecting garbage
Counts
85 → 143
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 4 binary64)
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(sqrt.f64 #s(literal 2 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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4 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)))
(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
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 #s(literal 4 binary64) #s(literal 3 binary64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
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#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
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#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))))
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#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
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#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
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#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (PI) (- 1 (* v v))) #s(hole binary64 (PI)))
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#s(approx (* (PI) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 2) (PI)))))
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#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole 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)))))))))
Outputs
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 2 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)
(*.f64 #s(literal 3 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -3 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4 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)))
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(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)))
(+.f64 (*.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)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(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 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
#s(literal -6 binary64)
(neg.f64 #s(literal 6 binary64))
(pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal -6 binary64))
(*.f64 v v)
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
v
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 3 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(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 3 binary64) (PI.f64))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 3 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(literal 3 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64))) (neg.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 3 binary64) (PI.f64))))
(/.f64 (neg.f64 #s(literal 4 binary64)) #s(literal -3 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 3 binary64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 #s(literal 1 binary64) (*.f64 v v)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(approx (/ (/ -4 -3) (* (* (PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (/ (/ -4 -3) (* (* (PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (fma.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 v v) (/.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (PI.f64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (/ (/ -4 -3) (* (* (PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (fma.f64 (fma.f64 (neg.f64 (*.f64 v v)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 v v) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (/ (/ -4 -3) (* (* (PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (*.f64 v v)) (fma.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (PI.f64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 27/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 5 binary64)))) (*.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (*.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (PI.f64)))) (/.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 v v) (*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 v v) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)))))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64))))))) (*.f64 v v) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (-.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 27/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 5 binary64))))))) (*.f64 v v) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (/ (/ (/ -4 -3) (PI)) (- 1 (* v v))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
#s(approx (/ (/ (/ -4 -3) (PI)) (- 1 (* v v))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
#s(approx (/ (/ (/ -4 -3) (PI)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
#s(approx (/ (/ (/ -4 -3) (PI)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) (*.f64 #s(literal 3 binary64) (PI.f64)))
#s(approx (* 3 (* (PI) (- 1 (* v v)))) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64) (*.f64 #s(literal 3 binary64) (PI.f64))))
#s(approx (sqrt (+ 2 (* (* v v) -6))) #s(literal 2 binary64))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/2 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 v v) #s(literal 2 binary64)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -27/2 binary64) (*.f64 v v)) (pow.f64 #s(literal 2 binary64) #s(literal 5 binary64))) (/.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 4 binary64) #s(literal 2 binary64)))) (*.f64 v v)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 v v) #s(literal 2 binary64)))
#s(approx (+ 2 (* (* v v) -6)) #s(literal 2 binary64))
#s(approx (+ 2 (* (* v v) -6)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (* (PI) (- 1 (* v v))) (PI.f64))
#s(approx (* (PI) (- 1 (* v v))) (fma.f64 (neg.f64 (*.f64 v v)) (PI.f64) (PI.f64)))
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (- 1 (* v v)) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))))
#s(approx (/ (/ -4 -3) (* (* (PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) #s(literal -6 binary64))))
#s(approx (/ (/ -4 -3) (* (* (PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (/.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64))))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64)))) (*.f64 (*.f64 v v) v)))
#s(approx (/ (/ -4 -3) (* (* (PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (PI.f64))) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64))))) (*.f64 (*.f64 v v) v)))
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#s(approx (* 3 (* (PI) (- 1 (* v v)))) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 v v) (PI.f64))))
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#s(approx (sqrt (+ 2 (* (* v v) -6))) (*.f64 #s(literal -6 binary64) v))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal -6 binary64)) v))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (pow.f64 v #s(literal 4 binary64))))) v))
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#s(approx (+ 2 (* (* v v) -6)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))
#s(approx (* (PI) (- 1 (* v v))) (neg.f64 (*.f64 (*.f64 v v) (PI.f64))))
#s(approx (* (PI) (- 1 (* v v))) (*.f64 (+.f64 (/.f64 (PI.f64) (*.f64 v v)) (neg.f64 (PI.f64))) (*.f64 v v)))
#s(approx (- 1 (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (/ (/ -4 -3) (* (* (PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) #s(literal -6 binary64))))
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#s(approx (/ (/ -4 -3) (* (* (PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (PI.f64))) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64))))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (/ -4 -3) (* (* (PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) (neg.f64 #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) (PI.f64))) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) #s(literal -6 binary64)) (*.f64 #s(literal 4/3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -6 binary64) (PI.f64))))))) (*.f64 (*.f64 v v) v))))
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#s(approx (sqrt (+ 2 (* (* v v) -6))) (neg.f64 (*.f64 #s(literal -6 binary64) v)))
#s(approx (sqrt (+ 2 (* (* v v) -6))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal -6 binary64)) v)))
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#s(approx (sqrt (+ 2 (* (* v v) -6))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal -6 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) (pow.f64 v #s(literal 4 binary64))))) v)))

eval22.0ms (0.4%)

Memory
-14.2MiB live, 32.3MiB allocated; 13ms collecting garbage
Compiler

Compiled 2 386 to 715 computations (70% saved)

prune30.0ms (0.6%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1713174
Fresh000
Picked123
Done257
Total17410184
Accuracy
100.0%
Counts
184 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓98.7%
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
44.0%
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 #s(approx (+ 2 (* (* v v) -6)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))))
99.4%
(/.f64 #s(approx (/ (/ (/ -4 -3) (PI)) (- 1 (* v v))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓98.7%
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
✓97.2%
(/.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))))))
✓97.1%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
✓20.3%
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
✓98.6%
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 471 to 337 computations (28.5% saved)

regimes29.0ms (0.6%)

Memory
-25.3MiB live, 21.4MiB allocated; 10ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 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 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(approx (sqrt (+ 2 (* (* v v) -6))) #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 #s(literal -6 binary64) (*.f64 v v) #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 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 #s(approx (+ 2 (* (* v v) -6)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(approx (/ (/ (/ -4 -3) (PI)) (- 1 (* v v))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 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 binary64) #s(literal 3 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) #s(literal 3 binary64)) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* 3 (* (PI) (- 1 (* v v)))) (*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (*.f64 v v)) (*.f64 #s(literal -3 binary64) (PI.f64))) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.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 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) #s(approx (- 2 (* -6 (* v v))) (fma.f64 #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 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Calls

4 calls:

10.0ms
(/.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))))))
8.0ms
v
5.0ms
(*.f64 v v)
4.0ms
(*.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)))))
Results
AccuracySegmentsBranch
100.0%1(*.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 #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%1v
Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes14.0ms (0.3%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 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 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(approx (sqrt (+ 2 (* (* v v) -6))) #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 #s(literal -6 binary64) (*.f64 v v) #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 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 #s(approx (+ 2 (* (* v v) -6)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(approx (/ (/ (/ -4 -3) (PI)) (- 1 (* v v))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
Outputs
(/.f64 #s(approx (/ (/ (/ -4 -3) (PI)) (- 1 (* v v))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
Calls

4 calls:

4.0ms
v
3.0ms
(*.f64 v v)
3.0ms
(*.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)))))
3.0ms
(/.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
99.4%1(*.f64 v v)
99.4%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)))))
99.4%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))))))
99.4%1v
Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes14.0ms (0.3%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 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 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(approx (sqrt (+ 2 (* (* v v) -6))) #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 #s(literal -6 binary64) (*.f64 v v) #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 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 #s(approx (+ 2 (* (* v v) -6)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
Calls

4 calls:

4.0ms
v
3.0ms
(*.f64 v v)
3.0ms
(*.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)))))
3.0ms
(/.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
98.7%1(*.f64 v v)
98.7%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)))))
98.7%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))))))
98.7%1v
Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes10.0ms (0.2%)

Memory
-35.0MiB live, 11.7MiB allocated; 2ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 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 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(approx (sqrt (+ 2 (* (* v v) -6))) #s(literal 2 binary64))))
Outputs
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
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
98.7%1(*.f64 v v)
98.7%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)))))
98.7%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))))))
98.7%1v
Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes7.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
Calls

4 calls:

2.0ms
v
2.0ms
(*.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 #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
98.6%1(*.f64 v v)
98.6%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)))))
98.6%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))))))
98.6%1v
Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
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 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
Outputs
#s(approx (/ (/ 4 (* 3 (* (PI) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
Calls

4 calls:

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
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
20.3%1(*.f64 v v)
20.3%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)))))
20.3%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))))))
20.3%1v
Compiler

Compiled 35 to 33 computations (5.7% saved)

derivations1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 93 to 62 computations (33.3% saved)

preprocess40.0ms (0.8%)

Memory
16.5MiB live, 63.0MiB allocated; 3ms collecting garbage
Remove

(abs v)

Compiler

Compiled 364 to 322 computations (11.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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