Falkner and Boettcher, Equation (22+)

Time bar (total: 1.7s)

start0.0ms (0%)

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

analyze3.0ms (0.2%)

Memory
2.8MiB live, 2.8MiB 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)

sample803.0ms (47.2%)

Memory
45.8MiB live, 927.6MiB allocated; 231ms collecting garbage
Samples
583.0ms8 256×0valid
1.0ms13×0invalid
Precisions
Click to see histograms. Total time spent on operations: 362.0ms
ival-mult!: 165.0ms (45.6% of total)
ival-sqrt: 124.0ms (34.3% of total)
ival-sub!: 37.0ms (10.2% of total)
ival-div!: 35.0ms (9.7% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

preprocess52.0ms (3.1%)

Memory
-26.1MiB live, 62.8MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02660
111455
238654
3188554
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)

series12.0ms (0.7%)

Memory
22.7MiB live, 22.7MiB 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
4.0ms
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)

rewrite110.0ms (6.5%)

Memory
12.3MiB live, 104.2MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03082598
03262223
021852132
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
67 → 112
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 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
#s(literal 4 binary64)
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 3 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 v v)) (neg.f64 (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.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 (neg.f64 (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 v v)) (neg.f64 (*.f64 v v))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.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)))))
(neg.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.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)))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 6 binary64) v) v) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 6 binary64) v) v) (*.f64 (*.f64 #s(literal 6 binary64) v) v))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 6 binary64) v) v)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 6 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 6 binary64) v) v) (*.f64 (*.f64 #s(literal 6 binary64) v) v) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 6 binary64) v) v)))))
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) 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))
(-.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 6 binary64) v) v))
(+.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) v) v)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 6 binary64) v) v)
(*.f64 (*.f64 v v) #s(literal 6 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)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (fma.f64 (fma.f64 (neg.f64 (*.f64 v v)) (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -4/3 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4/3 binary64))) (*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 v v) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (*.f64 v v)) (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -4/3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 27/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 5/2 binary64)))) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4/3 binary64) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -4/3 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4/3 binary64))) (/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -4/3 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4/3 binary64)))) (*.f64 v v) (*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 v v) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
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eval14.0ms (0.8%)

Memory
-20.3MiB live, 24.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 906 to 599 computations (68.6% saved)

prune6.0ms (0.3%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New947101
Fresh000
Picked101
Done000
Total957102
Accuracy
100.0%
Counts
102 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 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))))))
▶97.8%
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
98.4%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (PI.f64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (PI.f64)) (*.f64 v v)))) (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
▶97.7%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
▶99.8%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
▶99.2%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
Compiler

Compiled 366 to 332 computations (9.3% saved)

series21.0ms (1.2%)

Memory
-10.6MiB live, 34.4MiB allocated; 5ms collecting garbage
Counts
39 → 67
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))
(-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 v v)
v
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal -4/3 binary64)
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
#s(literal 4/3 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
#s(literal 4 binary64)
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(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 (PI.f64) #s(literal 3 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 (*.f64 (PI.f64) #s(literal 3 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 (-.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)
(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)
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 (+ (* (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) -4/3) (/ 4/3 (* (sqrt 2) (PI)))) #s(hole binary64 (+ (* 2/3 (/ (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (PI))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) #s(hole binary64 (* -1/2 (/ (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (PI)))))
#s(approx (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) #s(hole binary64 (* -1 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#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 (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 (* (- 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 (/ 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 (+ (* (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) -4/3) (/ 4/3 (* (sqrt 2) (PI)))) #s(hole binary64 (* 2/3 (/ (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (PI)))))
#s(approx (+ (* (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) -4/3) (/ 4/3 (* (sqrt 2) (PI)))) #s(hole binary64 (* (pow v 2) (+ (* 2/3 (/ (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))) (PI))) (* 4/3 (/ 1 (* (pow v 2) (* (PI) (sqrt 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 (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 (* (- 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 (/ 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)))))))))
#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
8.0ms
v
@-inf
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (+ (* (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) -4/3) (/ 4/3 (* (sqrt 2) (PI)))) (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (neg (sqrt 2)) (sqrt 2) 2 (/ 3 (sqrt 2)) 3 (* v v) v (* (PI) 2) (PI) -4/3 (/ 4/3 (* (sqrt 2) (PI))) 4/3 (* (sqrt 2) (PI)) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* (sqrt 2) (PI)) 3) (/ 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))) (* (PI) 3) (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) (* 6 (* v v)) 6 (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)) 1 (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6)
6.0ms
v
@0
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (+ (* (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) -4/3) (/ 4/3 (* (sqrt 2) (PI)))) (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (neg (sqrt 2)) (sqrt 2) 2 (/ 3 (sqrt 2)) 3 (* v v) v (* (PI) 2) (PI) -4/3 (/ 4/3 (* (sqrt 2) (PI))) 4/3 (* (sqrt 2) (PI)) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* (sqrt 2) (PI)) 3) (/ 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))) (* (PI) 3) (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) (* 6 (* v v)) 6 (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)) 1 (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6)
4.0ms
v
@inf
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (+ (* (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) -4/3) (/ 4/3 (* (sqrt 2) (PI)))) (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (neg (sqrt 2)) (sqrt 2) 2 (/ 3 (sqrt 2)) 3 (* v v) v (* (PI) 2) (PI) -4/3 (/ 4/3 (* (sqrt 2) (PI))) 4/3 (* (sqrt 2) (PI)) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* (sqrt 2) (PI)) 3) (/ 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))) (* (PI) 3) (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) (* 6 (* v v)) 6 (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)) 1 (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6)

rewrite132.0ms (7.8%)

Memory
16.7MiB live, 151.0MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04113667
04563154
029803095
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
106 → 237
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))
(-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 v v)
v
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal -4/3 binary64)
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
#s(literal 4/3 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
#s(literal 4 binary64)
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(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 (PI.f64) #s(literal 3 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 (*.f64 (PI.f64) #s(literal 3 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 (-.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)
(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(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 (+ (* (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) -4/3) (/ 4/3 (* (sqrt 2) (PI)))) #s(hole binary64 (+ (* 2/3 (/ (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (PI))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) #s(hole binary64 (* -1/2 (/ (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (PI)))))
#s(approx (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) #s(hole binary64 (* -1 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#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 (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 (* (- 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 (/ 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 (+ (* (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) -4/3) (/ 4/3 (* (sqrt 2) (PI)))) #s(hole binary64 (* 2/3 (/ (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (PI)))))
#s(approx (+ (* (/ (* (- (neg (sqrt 2)) (/ 3 (sqrt 2))) (* v v)) (* (PI) 2)) -4/3) (/ 4/3 (* (sqrt 2) (PI)))) #s(hole binary64 (* (pow v 2) (+ (* 2/3 (/ (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))) (PI))) (* 4/3 (/ 1 (* (pow v 2) (* (PI) (sqrt 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 (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 (* (- 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 (/ 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)))))))))
#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
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (fma.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)))) (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 4/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)) (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64))) (*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))) (-.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)) (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (*.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)))
(fma.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)))
(fma.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(-.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)) (*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(-.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)) (neg.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(+.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) (/.f64 (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v v) (*.f64 #s(literal 2 binary64) (PI.f64))))
(*.f64 (*.f64 v v) (/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v) (PI.f64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v)) (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v)))
(*.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v)
(*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))
(*.f64 (*.f64 v v) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(neg.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal -4/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
#s(literal 4/3 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
(/.f64 #s(literal -4 binary64) (neg.f64 #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
#s(literal 4 binary64)
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
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(*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
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#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 (*.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (*.f64 v v)) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) #s(literal -3 binary64)))) (*.f64 (*.f64 v v) v))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (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 (- 2 (* 6 (* v v)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))))) v)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (neg.f64 (*.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 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))))) v)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) v)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (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 (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (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 (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (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))))

eval26.0ms (1.6%)

Memory
7.6MiB live, 52.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 3 468 to 1 074 computations (69% saved)

prune8.0ms (0.5%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2046210
Fresh202
Picked235
Done000
Total2089217
Accuracy
100.0%
Counts
217 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
▶98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 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))))))
98.3%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (fma.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v (sqrt.f64 #s(literal 2 binary64))))))
▶97.8%
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
▶100.0%
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
▶51.7%
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))))))
✓97.7%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
✓99.2%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
Compiler

Compiled 320 to 307 computations (4.1% saved)

series73.0ms (4.3%)

Memory
-21.1MiB live, 31.1MiB allocated; 72ms collecting garbage
Counts
33 → 86
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
#s(literal 4 binary64)
(*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(PI.f64)
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(*.f64 #s(literal -6 binary64) v)
#s(literal -6 binary64)
v
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))))
(sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))))
#s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 v v))
#s(literal 6 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))
Outputs
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* 3 (sqrt 2))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (+ (* 3 (sqrt 2)) (* 3 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (+ (* 3 (sqrt 2)) (* (pow v 2) (+ (* 3 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (+ (* 3 (sqrt 2)) (* (pow v 2) (+ (* 3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 3 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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 (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 (* -6 v) #s(hole binary64 (* -6 v)))
#s(approx v #s(hole binary64 v))
#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 (* (* 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 (/ 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 (- (/ 2 (* v v)) 6) #s(hole binary64 (/ 2 (pow v 2))))
#s(approx (- (/ 2 (* v v)) 6) #s(hole binary64 (/ (+ 2 (* -6 (pow v 2))) (pow v 2))))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* -3 (* (pow v 3) (sqrt -6)))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* -3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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 (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 (- 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 (* (* 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 (* (* 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 (- (/ 2 (* v v)) 6) #s(hole binary64 -6))
#s(approx (- (/ 2 (* v v)) 6) #s(hole binary64 (- (* 2 (/ 1 (pow v 2))) 6)))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* 3 (* (pow v 3) (sqrt -6)))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* -3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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)))))))))
Calls

3 calls:

TimeVariablePointExpression
61.0ms
v
@0
((/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) -6 v 2 (- 1 (* v v)) 1 (* v v) (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (* (* 3 (PI)) (- 1 (* v v))) (* (PI) 3) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) (* (- (/ 2 (* v v)) 6) (* v v)) (- (/ 2 (* v v)) 6) (/ 2 (* v v)) 6 (/ 4 (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2)))) (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2))) (* (- 1 (* v v)) (* (PI) 3)))
6.0ms
v
@inf
((/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) -6 v 2 (- 1 (* v v)) 1 (* v v) (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (* (* 3 (PI)) (- 1 (* v v))) (* (PI) 3) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) (* (- (/ 2 (* v v)) 6) (* v v)) (- (/ 2 (* v v)) 6) (/ 2 (* v v)) 6 (/ 4 (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2)))) (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2))) (* (- 1 (* v v)) (* (PI) 3)))
3.0ms
v
@-inf
((/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) -6 v 2 (- 1 (* v v)) 1 (* v v) (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (* (* 3 (PI)) (- 1 (* v v))) (* (PI) 3) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) (* (- (/ 2 (* v v)) 6) (* v v)) (- (/ 2 (* v v)) 6) (/ 2 (* v v)) 6 (/ 4 (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2)))) (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2))) (* (- 1 (* v v)) (* (PI) 3)))

rewrite124.0ms (7.3%)

Memory
8.6MiB live, 143.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04634352
05053781
033893688
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
119 → 222
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
#s(literal 4 binary64)
(*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(PI.f64)
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(*.f64 #s(literal -6 binary64) v)
#s(literal -6 binary64)
v
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))))
(sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))))
#s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 v v))
#s(literal 6 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* 3 (sqrt 2))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (+ (* 3 (sqrt 2)) (* 3 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (+ (* 3 (sqrt 2)) (* (pow v 2) (+ (* 3 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (+ (* 3 (sqrt 2)) (* (pow v 2) (+ (* 3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 3 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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 (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 (* -6 v) #s(hole binary64 (* -6 v)))
#s(approx v #s(hole binary64 v))
#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 (* (* 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 (/ 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 (- (/ 2 (* v v)) 6) #s(hole binary64 (/ 2 (pow v 2))))
#s(approx (- (/ 2 (* v v)) 6) #s(hole binary64 (/ (+ 2 (* -6 (pow v 2))) (pow v 2))))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* -3 (* (pow v 3) (sqrt -6)))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* -3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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 (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 (- 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 (* (* 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 (* (* 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 (- (/ 2 (* v v)) 6) #s(hole binary64 -6))
#s(approx (- (/ 2 (* v v)) 6) #s(hole binary64 (- (* 2 (/ 1 (pow v 2))) 6)))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* 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 (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* 3 (* (pow v 3) (sqrt -6)))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* -3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) #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)))))))))
Outputs
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)))
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#s(approx (sqrt (+ (* (* -6 v) v) 2)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) v))
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#s(approx (- 2 (* 6 (* v v))) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
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#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -3 binary64)))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 v v)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (PI.f64))) (*.f64 v v)))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 v v) (PI.f64))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 v v) (PI.f64)))) (*.f64 v v))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 v v) (PI.f64)))) (*.f64 v v))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (*.f64 v v)))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 v v) (PI.f64)))) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 v v) (PI.f64))))) (*.f64 v v)))
#s(approx (- (/ 2 (* v v)) 6) #s(literal -6 binary64))
#s(approx (- (/ 2 (* v v)) 6) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))))
#s(approx (/ 4 (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)))) (*.f64 (*.f64 v v) v))))
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#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) (sqrt.f64 #s(literal -6 binary64))) #s(literal 3 binary64)))
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#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))) (*.f64 (*.f64 v v) v))))
#s(approx (* (PI) (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) #s(literal -3 binary64)))) (*.f64 (*.f64 v v) v))))
#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
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#s(approx (* 3 (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -3 binary64)))) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) v)))
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#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (- 1 (* v v))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (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))))
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#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 (sqrt.f64 #s(literal -6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))))) v)))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) (neg.f64 (*.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 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))))) v)))

eval39.0ms (2.3%)

Memory
-19.7MiB live, 78.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 5 224 to 1 426 computations (72.7% saved)

prune8.0ms (0.5%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New3463349
Fresh101
Picked145
Done033
Total34810358
Accuracy
100.0%
Counts
358 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
▶99.8%
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
▶99.3%
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
▶100.0%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64)))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 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))))))
✓97.8%
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
✓51.7%
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))))))
✓97.7%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
✓99.2%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
Compiler

Compiled 209 to 203 computations (2.9% saved)

series11.0ms (0.6%)

Memory
-22.8MiB live, 23.8MiB allocated; 3ms collecting garbage
Counts
27 → 81
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64)))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)))
(fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))
(*.f64 v #s(literal -6 binary64))
v
#s(literal -6 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
#s(literal 3 binary64)
(PI.f64)
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) 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))
#s(literal 4/3 binary64)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(*.f64 #s(literal -6 binary64) v)
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (*.f64 v v) (PI.f64))
Outputs
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* 3 (sqrt 2))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (+ (* 3 (sqrt 2)) (* 3 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (+ (* 3 (sqrt 2)) (* (pow v 2) (+ (* 3 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (+ (* 3 (sqrt 2)) (* (pow v 2) (+ (* 3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 3 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (sqrt (+ (* (* v -6) v) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* (* v -6) 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 (+ (* (* v -6) 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 (+ (* (* v -6) v) 2) #s(hole binary64 2))
#s(approx (+ (* (* v -6) v) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* v -6) #s(hole binary64 (* -6 v)))
#s(approx v #s(hole binary64 v))
#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 (/ 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 (/ (* v v) (PI)) #s(hole binary64 (/ (pow v 2) (PI))))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* -3 (* (pow v 3) (sqrt -6)))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* -3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (sqrt (+ (* (* v -6) v) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* (* v -6) v) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* (* v -6) 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 (+ (* (* v -6) 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 (+ (* (* v -6) v) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* (* v -6) v) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 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 (/ 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 (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) #s(hole binary64 (* 4/3 (/ (pow v 2) (PI)))))
#s(approx (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) #s(hole binary64 (* (pow v 2) (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))))))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* 3 (* (pow v 3) (sqrt -6)))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* -3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (+ (* (* v -6) v) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* (* v -6) v) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* (* v -6) 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 (+ (* (* v -6) 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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) (sqrt (+ (* (* v -6) v) 2)) (+ (* (* v -6) v) 2) (* v -6) v -6 2 (- 1 (* v v)) 1 (* v v) 3 (PI) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/ 4/3 (PI)) 4/3 (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) (/ (* v v) (PI)))
2.0ms
v
@-inf
((/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) (sqrt (+ (* (* v -6) v) 2)) (+ (* (* v -6) v) 2) (* v -6) v -6 2 (- 1 (* v v)) 1 (* v v) 3 (PI) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/ 4/3 (PI)) 4/3 (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) (/ (* v v) (PI)))
2.0ms
v
@0
((/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) (sqrt (+ (* (* v -6) v) 2)) (+ (* (* v -6) v) 2) (* v -6) v -6 2 (- 1 (* v v)) 1 (* v v) 3 (PI) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/ 4/3 (PI)) 4/3 (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) (/ (* v v) (PI)))

rewrite121.0ms (7.1%)

Memory
28.8MiB live, 170.2MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04444126
04723555
032763477
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
108 → 196
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64)))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)))
(fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))
(*.f64 v #s(literal -6 binary64))
v
#s(literal -6 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
#s(literal 3 binary64)
(PI.f64)
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) 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))
#s(literal 4/3 binary64)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(*.f64 #s(literal -6 binary64) v)
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (*.f64 v v) (PI.f64))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* 3 (sqrt 2))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (+ (* 3 (sqrt 2)) (* 3 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (+ (* 3 (sqrt 2)) (* (pow v 2) (+ (* 3 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (+ (* 3 (sqrt 2)) (* (pow v 2) (+ (* 3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 3 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (sqrt (+ (* (* v -6) v) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* (* v -6) 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 (+ (* (* v -6) 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 (+ (* (* v -6) v) 2) #s(hole binary64 2))
#s(approx (+ (* (* v -6) v) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* v -6) #s(hole binary64 (* -6 v)))
#s(approx v #s(hole binary64 v))
#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 (/ 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 (/ (* v v) (PI)) #s(hole binary64 (/ (pow v 2) (PI))))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* -3 (* (pow v 3) (sqrt -6)))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* -3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (sqrt (+ (* (* v -6) v) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* (* v -6) v) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* (* v -6) 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 (+ (* (* v -6) 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 (+ (* (* v -6) v) 2) #s(hole binary64 (* -6 (pow v 2))))
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#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)))) #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 (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) #s(hole binary64 (* 4/3 (/ (pow v 2) (PI)))))
#s(approx (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) #s(hole binary64 (* (pow v 2) (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))))))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI))) #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 (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (* (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) (PI)) #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 (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* 3 (* (pow v 3) (sqrt -6)))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) 3) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (sqrt -6)) (+ (* -3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (* (sqrt (+ (* (* v -6) v) 2)) (- 1 (* v v))) #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 (+ (* (* v -6) v) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* (* v -6) v) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* (* v -6) 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 (+ (* (* v -6) 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) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64))) (PI.f64))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64)) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64)))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(pow.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 v (*.f64 #s(literal -6 binary64) v) #s(literal 2 binary64))
(-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(-.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(*.f64 #s(literal -6 binary64) v)
(*.f64 v #s(literal -6 binary64))
v
#s(literal -6 binary64)
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 v v)) (neg.f64 (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.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 (neg.f64 (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 v v)) (neg.f64 (*.f64 v v))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.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)))))
(neg.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
#s(literal 3 binary64)
(PI.f64)
(*.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #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 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4/3 binary64)))
#s(literal 4/3 binary64)
(pow.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 v (*.f64 #s(literal -6 binary64) v) #s(literal 2 binary64))
(-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(-.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(*.f64 #s(literal -6 binary64) v)
(*.f64 v #s(literal -6 binary64))
(*.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
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#s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64)))) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64)))
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#s(approx (sqrt (+ (* (* v -6) 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 (+ (* (* v -6) v) 2)) (neg.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))))) v)))
#s(approx (sqrt (+ (* (* v -6) v) 2)) (neg.f64 (*.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 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))))) v)))

eval19.0ms (1.1%)

Memory
-4.6MiB live, 41.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 188 to 978 computations (69.3% saved)

prune10.0ms (0.6%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New1680168
Fresh000
Picked033
Done077
Total16810178
Accuracy
100.0%
Counts
178 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
✓99.8%
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
✓99.3%
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
✓100.0%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64)))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 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))))))
✓97.8%
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
✓51.7%
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))))))
✓97.7%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
✓99.2%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
Compiler

Compiled 472 to 320 computations (32.2% saved)

regimes16.0ms (0.9%)

Memory
-14.2MiB live, 32.3MiB allocated; 2ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 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 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (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 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) 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 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (fma.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (PI.f64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (PI.f64)) (*.f64 v v)))) (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
Outputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3 binary64)) (PI.f64)))
Calls

4 calls:

5.0ms
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
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)

regimes10.0ms (0.6%)

Memory
-33.1MiB live, 19.1MiB allocated; 4ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))))))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
Calls

4 calls:

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

Compiled 35 to 33 computations (5.7% saved)

regimes6.0ms (0.3%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
Outputs
(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
Calls

4 calls:

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

Compiled 35 to 33 computations (5.7% saved)

regimes4.0ms (0.3%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Accuracy

Total -1.0b remaining (-198.2%)

Threshold costs -1b (-198.2%)

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

4 calls:

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

Compiled 35 to 33 computations (5.7% saved)

derivations44.0ms (2.6%)

Memory
12.1MiB live, 58.6MiB allocated; 2ms collecting garbage
Stop Event
1×done
Compiler

Compiled 62 to 47 computations (24.2% saved)

preprocess32.0ms (1.9%)

Memory
-20.6MiB live, 72.0MiB allocated; 6ms collecting garbage
Remove

(abs v)

Compiler

Compiled 239 to 221 computations (7.5% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...