Falkner and Boettcher, Equation (22+)

Time bar (total: 3.2s)

start0.0ms (0%)

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

analyze5.0ms (0.2%)

Memory
8.2MiB live, 8.2MiB 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)

sample2.0s (62.2%)

Memory
-106.7MiB live, 1 073.7MiB allocated; 866ms collecting garbage
Samples
1.7s8 256×0valid
1.0ms14×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-mult!: 758.0ms (52.1% of total)
ival-sqrt: 496.0ms (34.1% of total)
ival-div!: 162.0ms (11.1% of total)
ival-sub!: 38.0ms (2.6% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess141.0ms (4.4%)

Memory
-38.5MiB live, 58.5MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02660
19655
230154
3129754
4726554
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 (0.4%)

Memory
34.2MiB live, 34.2MiB allocated; 0ms collecting garbage
Counts
16 → 51
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
#s(literal 2 binary64)
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 binary64)
Outputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* 3 (* (pow v 2) (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* (pow v 2) (+ (* 3 (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (* (pow v 2) (* (PI) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5))))))))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* 3 (PI))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 2))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* 6 (* v v)) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
Calls

3 calls:

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

rewrite149.0ms (4.7%)

Memory
-9.6MiB live, 212.9MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03082598
03262290
010522248
032212143
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
67 → 99
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
#s(literal 2 binary64)
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 binary64)
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* 3 (* (pow v 2) (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* (pow v 2) (+ (* 3 (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (* (pow v 2) (* (PI) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5))))))))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* 3 (PI))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 2))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* 6 (* v v)) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 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 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) (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)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 v) v)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.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) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 v) v))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.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
(*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(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)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #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)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 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 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 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))
(/.f64 (-.f64 #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))))
(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) (*.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) (*.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 (pow.f64 #s(literal 2 binary64) #s(literal -5/2 binary64)) #s(literal 27/2 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)))))
#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)))
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#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)))

eval9.0ms (0.3%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 884 to 547 computations (71% saved)

prune5.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New83588
Fresh000
Picked101
Done000
Total84589
Accuracy
100.0%
Counts
89 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.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))))
▶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))))))
▶98.1%
(/.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))))))
▶98.0%
(/.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))))
▶99.6%
#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 202 to 194 computations (4% saved)

series16.0ms (0.5%)

Memory
-10.3MiB live, 34.7MiB allocated; 3ms collecting garbage
Counts
33 → 127
Calls
Call 1
Inputs
(/.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) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(literal 4 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(*.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#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 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
#s(literal 4/3 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 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)))
(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))))
Outputs
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (/ 4/3 (PI))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #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 (* (- 1 (* v v)) (* (PI) 3)) #s(hole binary64 (* 3 (PI))))
#s(approx (* (- 1 (* v v)) (* (PI) 3)) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (/ 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 (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 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #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) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* (pow v 2) (+ (* 3 (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (* (pow v 2) (* (PI) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5))))))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (/ -4/3 (* (pow v 2) (PI)))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #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 (* (- 1 (* v v)) (* (PI) 3))) #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 (* (- 1 (* v v)) (* (PI) 3)) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (- 1 (* v v)) (* (PI) 3)) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (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))))
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#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)))))))
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#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 (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))))
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#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #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) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
#s(approx (/ 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)))))
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#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
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#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (sqrt (- 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 (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
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#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
Calls

3 calls:

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

rewrite210.0ms (6.6%)

Memory
-26.8MiB live, 264.8MiB allocated; 111ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04707306
05116344
014526228
044626060
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
160 → 235
Calls
Call 1
Inputs
(/.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) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(literal 4 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(*.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#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 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
#s(literal 4/3 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 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)))
(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))))
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#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (/ 4/3 (PI))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
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#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
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#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))))))))))))
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#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* 3 (PI))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (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 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
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#s(approx (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
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#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #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) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) (* (pow v 2) (+ (* 3 (* (PI) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (* (pow v 2) (* (PI) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5))))))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (sqrt 2)))
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#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #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 (* (- 1 (* v v)) (* (PI) 3)) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (- 1 (* v v)) (* (PI) 3)) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
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#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))))
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#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
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#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
#s(approx (/ 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 (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ 4 (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (PI) 3) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #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) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #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) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.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) (neg.f64 (*.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)) (*.f64 (PI.f64) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 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 (*.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))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(literal 4 binary64)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) #s(literal 3 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)))
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#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 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (*.f64 (*.f64 (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 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (fma.f64 (pow.f64 #s(literal -6 binary64) #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (PI.f64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) (*.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 (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* 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 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)))) (*.f64 (*.f64 v v) v))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4/3 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 (PI.f64) #s(literal -6 binary64))) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (*.f64 (*.f64 v v) (*.f64 v v)))) (fma.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))))) (*.f64 (*.f64 v v) v))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 #s(literal -6 binary64) #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal -6 binary64))) #s(literal -4/3 binary64) (fma.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 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64)))) #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal 4/3 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 (PI.f64) #s(literal -6 binary64))) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) (fma.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 (*.f64 v v) (*.f64 v v)) (*.f64 (PI.f64) #s(literal -6 binary64)))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64)))) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) (sqrt.f64 #s(literal -6 binary64))) #s(literal 3 binary64)))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (neg.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) #s(literal 3 binary64) (*.f64 (*.f64 (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 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (*.f64 (*.f64 (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 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (fma.f64 (pow.f64 #s(literal -6 binary64) #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (PI.f64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) (*.f64 (*.f64 v v) 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 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 #s(literal -6 binary64) #s(literal -5/2 binary64)) #s(literal 1/2 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))))

eval21.0ms (0.7%)

Memory
-0.4MiB live, 45.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 293 to 878 computations (73.3% saved)

prune5.0ms (0.2%)

Memory
14.3MiB live, 14.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1894193
Fresh000
Picked235
Done000
Total1917198
Accuracy
100.0%
Counts
198 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.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))))
▶99.6%
(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (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))))))
▶98.1%
(/.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))))))
✓98.0%
(/.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))))
✓99.6%
#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 140 to 137 computations (2.1% saved)

series13.0ms (0.4%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Counts
28 → 155
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 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/.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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #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))))
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))))))))))))
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Calls

3 calls:

TimeVariablePointExpression
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 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/ 4/3 (PI)) 4/3 (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))))
2.0ms
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 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/ 4/3 (PI)) 4/3 (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))))
2.0ms
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 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/ 4/3 (PI)) 4/3 (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (* 3 (PI)) (- 1 (* v v)))))

rewrite159.0ms (5%)

Memory
-37.1MiB live, 199.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05319255
05638046
016107888
051437662
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
183 → 246
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 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/.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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #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))))
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#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))))
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#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)))
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#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)))
#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 (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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)))))))
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#s(approx (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (* (PI) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (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 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (/ 4/3 (PI))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) #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 (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
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#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
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#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))))))
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#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
#s(approx (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v)))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -1 (/ (- (* -4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (pow v 4))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
Outputs
(/.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)))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.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 (*.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 (PI.f64) #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))))
(*.f64 (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)))
(PI.f64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.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 #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))))
#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)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (+.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))))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.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))))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(+.f64 (*.f64 (*.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 v #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) v)
#s(literal -6 binary64)
v
#s(literal 2 binary64)
(/.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)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 v) v)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.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) (*.f64 (*.f64 (neg.f64 v) v) (*.f64 (neg.f64 v) v))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.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)))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) 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 v #s(literal -6 binary64)) v #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) 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 v #s(literal -6 binary64)) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
(/.f64 (neg.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)))))
(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/.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))
#s(literal 4/3 binary64)
(*.f64 (pow.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (+.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))))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 6 binary64) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.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))))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
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#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 #s(literal -6 binary64) #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal -6 binary64))) #s(literal -4/3 binary64) (fma.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 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64)))) #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal 4/3 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 (PI.f64) #s(literal -6 binary64))) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) (fma.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 (*.f64 v v) (*.f64 v v)) (*.f64 (PI.f64) #s(literal -6 binary64)))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64)))) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) (sqrt.f64 #s(literal -6 binary64))) #s(literal 3 binary64)))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (* 3 (PI)) (- 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 (PI.f64) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (fma.f64 (pow.f64 #s(literal -6 binary64) #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (PI.f64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4/3 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 (PI.f64) #s(literal -6 binary64))) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (*.f64 (*.f64 v v) (*.f64 v v)))) (fma.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 #s(literal -6 binary64) #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal -6 binary64))) #s(literal -4/3 binary64) (fma.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 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64)))) #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal 4/3 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 (PI.f64) #s(literal -6 binary64))) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) (fma.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 (*.f64 v v) (*.f64 v v)) (*.f64 (PI.f64) #s(literal -6 binary64)))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64)))) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))))))) (*.f64 (*.f64 v v) v))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (neg.f64 (*.f64 (+.f64 (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)))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4/3 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 (PI.f64) #s(literal -6 binary64))) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (*.f64 (*.f64 v v) (*.f64 v v)))) (fma.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 #s(literal -6 binary64) #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal -6 binary64))) #s(literal -4/3 binary64) (fma.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 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64)))) #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal 4/3 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 (PI.f64) #s(literal -6 binary64))) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) (fma.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 (*.f64 v v) (*.f64 v v)) (*.f64 (PI.f64) #s(literal -6 binary64)))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) #s(literal -6 binary64))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64)))) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))))))) (*.f64 (*.f64 v v) v))))

eval21.0ms (0.7%)

Memory
46.0MiB live, 46.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 988 to 992 computations (80.1% saved)

prune13.0ms (0.4%)

Memory
-31.4MiB live, 17.0MiB allocated; 11ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2401241
Fresh000
Picked134
Done033
Total2417248
Accuracy
100.0%
Counts
248 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(/.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))))
✓99.6%
(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 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))))))
✓98.1%
(/.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)))))
✓98.0%
(/.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))))
✓99.6%
#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 140 to 137 computations (2.1% saved)

series6.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Counts
16 → 71
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)
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)))
#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 (* (* (* (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 (* (* (* (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
1.0ms
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))
1.0ms
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))
1.0ms
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))

rewrite152.0ms (4.8%)

Memory
-2.4MiB live, 188.1MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03923686
04073239
013103179
044993094
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
87 → 115
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)
#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)))
#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 (* (* (* (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 (* (* (* (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 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 3 binary64))) (PI.f64))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 3 binary64)) (PI.f64))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 3 binary64)) (PI.f64)))
#s(literal 4 binary64)
(*.f64 (PI.f64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 3 binary64)) (PI.f64))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 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 (pow.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)) #s(literal 1/2 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)))

eval11.0ms (0.4%)

Memory
22.0MiB live, 21.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 548 to 700 computations (72.5% saved)

prune9.0ms (0.3%)

Memory
-29.0MiB live, 15.7MiB allocated; 5ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done066
Total1057112
Accuracy
100.0%
Counts
112 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(/.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))))
✓99.6%
(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 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))))))
✓98.1%
(/.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)))))
✓98.0%
(/.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))))
✓99.6%
#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 282 to 213 computations (24.5% saved)

regimes11.0ms (0.3%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Counts
11 → 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 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (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 (*.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 (/.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) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Outputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (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:

3.0ms
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
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)

regimes9.0ms (0.3%)

Memory
-25.3MiB live, 20.7MiB allocated; 2ms collecting garbage
Counts
6 → 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 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (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))))))
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:

3.0ms
(*.f64 v v)
2.0ms
v
2.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
2.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Results
AccuracySegmentsBranch
99.6%1(*.f64 v v)
99.6%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
99.6%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
99.6%1v
Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes6.0ms (0.2%)

Memory
13.0MiB live, 13.0MiB 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 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (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 (* (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
Calls

4 calls:

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
99.6%1(*.f64 v v)
99.6%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
99.6%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
99.6%1v
Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes4.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Accuracy

Total -1.0b remaining (-343.5%)

Threshold costs -1b (-343.5%)

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 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
99.6%1(*.f64 v v)
99.6%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
99.6%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
99.6%1v
Compiler

Compiled 35 to 33 computations (5.7% saved)

derivations171.0ms (5.4%)

Memory
-32.8MiB live, 80.6MiB allocated; 126ms collecting garbage
Stop Event
1×done
Compiler

Compiled 64 to 51 computations (20.3% saved)

preprocess49.0ms (1.5%)

Memory
-2.7MiB live, 51.4MiB allocated; 12ms collecting garbage
Remove

(abs v)

Compiler

Compiled 241 to 225 computations (6.6% saved)

end0.0ms (0%)

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

Profiling

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