Metrics for Falkner and Boettcher, Equation (22+)

start0.0ms (0%)

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

analyze3.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample893.0ms (50.9%)

Memory

-0.7MiB live, 1 267.6MiB allocated; 410ms collecting garbage

Samples

623.0ms	8 256×	0	valid
1.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-mult!: 159.0ms (48.9% of total)

ival-sqrt: 78.0ms (24% of total)

ival-sub!: 47.0ms (14.4% of total)

ival-div!: 40.0ms (12.3% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess43.0ms (2.5%)

Memory

3.7MiB live, 50.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	60
1	114	55
2	392	54
3	1980	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.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))))))

Status

Accuracy

Program

▶

98.4%

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

Symmetry

(abs v)

Compiler

Compiled 34 to 32 computations (5.9% saved)

series12.0ms (0.7%)

Memory

29.5MiB live, 29.5MiB 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:

Time	Variable		Point	Expression
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)

Time

Variable

Point

Expression

5.0ms

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

((/ 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

-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)

rewrite123.0ms (7%)

Memory

-26.1MiB live, 162.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	2598
0	326	2223
0	2185	2132

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

67 → 112

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
#s(literal 4 binary64)
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
#s(literal 2 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
#s(literal 6 binary64)
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* -4/3 (/ (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (PI) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
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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)))))) (* (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))))))))))))))
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#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))))
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#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 (* (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))))
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#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))))
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Outputs
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(.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))))
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v
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(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64))) #s(literal 2 binary64))
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(.f64 #s(literal 6 binary64) (.f64 v v))
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#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))))
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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 (.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (.f64 v v))) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (.f64 v v))) (.f64 (.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) #s(literal -3 binary64)))) (.f64 (.f64 v v) v))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (neg.f64 (.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))))) v)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (neg.f64 (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))))) v)))

eval11.0ms (0.6%)

Memory: 29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 906 to 599 computations (68.6% saved)

prune9.0ms (0.5%)

Memory

-26.1MiB live, 18.7MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	7	102

Accuracy

100.0%

Counts

102 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))
	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
▶	97.9%	(/.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))))))
▶	97.9%	(/.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))))
	98.4%	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64) (.f64 (.f64 (.f64 v v) (PI.f64)) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
▶	99.4%	#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 300 to 282 computations (6% saved)

series12.0ms (0.7%)

Memory

32.4MiB live, 32.5MiB allocated; 0ms collecting garbage

Counts

33 → 70

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 (* (* (* 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 (* 6 (* v v)) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (/ (/ 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 (* (* (* 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 (* (- 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 (* (* (* 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 (* (- 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:

Time	Variable		Point	Expression
4.0ms	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))))
3.0ms	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))))

Time

Variable

Point

Expression

4.0ms

-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

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

((/ (/ 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))))

rewrite109.0ms (6.2%)

Memory

0.5MiB live, 193.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	3618
0	447	3119
0	3013	3051

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

103 → 213

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))))
#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 (* (* (* 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 (* 6 (* v v)) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (/ (/ 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))))
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#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
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#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)))))))
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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 (* (pow v 4) (pow (sqrt -6) 3))))))))
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Outputs
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#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (neg.f64 (.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))))) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)))) (.f64 (*.f64 v v) v))))

eval46.0ms (2.6%)

Memory: -22.2MiB live, 63.1MiB allocated; 41ms collecting garbage
Compiler: Compiled 3 495 to 999 computations (71.4% saved)

prune7.0ms (0.4%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	224	5	229
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	228	8	236

Accuracy

100.0%

Counts

236 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
▶	99.9%	(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
▶	99.4%	(/.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))))
▶	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
▶	97.9%	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
✓	97.9%	(/.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))))
✓	99.4%	#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 264 to 257 computations (2.7% saved)

series11.0ms (0.6%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms collecting garbage

Counts

31 → 62

Calls

Call 1

Inputs
(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (*.f64 v v) (PI.f64))
(*.f64 v v)
v
(PI.f64)
#s(literal 4/3 binary64)
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#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 #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 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
#s(literal 4 binary64)
(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(*.f64 #s(literal -6 binary64) v)
#s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (.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 (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 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 (/ (* v v) (PI)) #s(hole binary64 (/ (pow v 2) (PI))))
#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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #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)) (* (- 1 (* v v)) (* (PI) 3))) #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)) (* (- 1 (* v v)) (* (PI) 3))) #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 (* -6 v) #s(hole binary64 (* -6 v)))
#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 (/ (/ 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 (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) #s(hole binary64 (* 4/3 (/ (pow v 2) (PI)))))
#s(approx (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) #s(hole binary64 (* (pow v 2) (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))))))
#s(approx (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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #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 (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #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)) (* (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 (/ (/ 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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #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)) (* (- 1 (* v v)) (* (PI) 3))) #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)) (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	((/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) (/ (* v v) (PI)) (* v v) v (PI) 4/3 (/ 4/3 (PI)) (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6 2 (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3)))) 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) (* (- 1 (* v v)) (* (PI) 3)) (* (PI) 3) 3 (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/ 4 (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2)))) (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2))) (* (- 1 (* v v)) (* (PI) 3)) (- 1 (* v v)) 1)
3.0ms	v	@	-inf	((/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) (/ (* v v) (PI)) (* v v) v (PI) 4/3 (/ 4/3 (PI)) (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6 2 (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3)))) 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) (* (- 1 (* v v)) (* (PI) 3)) (* (PI) 3) 3 (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/ 4 (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2)))) (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2))) (* (- 1 (* v v)) (* (PI) 3)) (- 1 (* v v)) 1)
3.0ms	v	@	0	((/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) (/ (* v v) (PI)) (* v v) v (PI) 4/3 (/ 4/3 (PI)) (sqrt (+ (* -6 (* v v)) 2)) (+ (* -6 (* v v)) 2) -6 2 (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* -6 (* v v)) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/ 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3)))) 4 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) (* (- 1 (* v v)) (* (PI) 3)) (* (PI) 3) 3 (/ (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (sqrt (+ (* (* -6 v) v) 2))) (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (/ 4 (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2)))) (* (* (- 1 (* v v)) (* (PI) 3)) (sqrt (+ (* (* -6 v) v) 2))) (* (- 1 (* v v)) (* (PI) 3)) (- 1 (* v v)) 1)

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

rewrite157.0ms (9%)

Memory

-20.4MiB live, 166.1MiB allocated; 84ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	3090
0	398	2676
0	2623	2622

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

93 → 204

Calls

Call 1

Inputs
(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (*.f64 v v) (PI.f64))
(*.f64 v v)
v
(PI.f64)
#s(literal 4/3 binary64)
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#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 #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 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
#s(literal 4 binary64)
(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(*.f64 #s(literal -6 binary64) v)
#s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (.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 (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#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 (/ (* v v) (PI)) #s(hole binary64 (/ (pow v 2) (PI))))
#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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #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)) (* (- 1 (* v v)) (* (PI) 3))) #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)) (* (- 1 (* v v)) (* (PI) 3))) #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 (* -6 v) #s(hole binary64 (* -6 v)))
#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 (/ (/ 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 (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) #s(hole binary64 (* 4/3 (/ (pow v 2) (PI)))))
#s(approx (+ (* (/ (* v v) (PI)) 4/3) (/ 4/3 (PI))) #s(hole binary64 (* (pow v 2) (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))))))
#s(approx (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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2)))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #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 (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #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)) (* (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 (/ (/ 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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) #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)) (* (- 1 (* v v)) (* (PI) 3))) #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)) (* (- 1 (* v v)) (* (PI) 3))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (* (PI) (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5))))) (pow v 6))) (+ (* 3 (/ (* (PI) (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (pow v 4))) (* 3 (/ (* (PI) (- (sqrt -6) (/ 1 (sqrt -6)))) (pow v 2))))))))))

Outputs
(.f64 #s(approx (/ 4 ( (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
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(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
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#s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64)))) (.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64)))
(*.f64 #s(literal 4/3 binary64) (fma.f64 v (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (fma.f64 (.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64)) (PI.f64) #s(literal 4/3 binary64)) (PI.f64))
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(fma.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64)))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(-.f64 (.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64)) (*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(-.f64 (.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64)) (neg.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64)))
(+.f64 (.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 v (/.f64 v (PI.f64)))
(/.f64 (neg.f64 (*.f64 v v)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 v v) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 v v)))
(*.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
(PI.f64)
#s(literal 4/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4/3 binary64)))
(pow.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 #s(literal -6 binary64) v) v) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -6 binary64) v) v))) (.f64 (*.f64 #s(literal -6 binary64) v) v))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -6 binary64) v) v) (.f64 (.f64 #s(literal -6 binary64) v) v)) #s(literal 4 binary64)) (-.f64 (.f64 (*.f64 #s(literal -6 binary64) v) v) #s(literal 2 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -6 binary64) v) v) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 #s(literal -6 binary64) v) v) (.f64 (.f64 #s(literal -6 binary64) v) v) (-.f64 #s(literal 4 binary64) (.f64 (.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))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 v (*.f64 #s(literal -6 binary64) v) #s(literal 2 binary64))
(-.f64 (.f64 (.f64 #s(literal -6 binary64) v) v) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(-.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 #s(literal -6 binary64) v) v)))
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(+.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -6 binary64) v) v))
#s(literal -6 binary64)
#s(literal 2 binary64)
(.f64 #s(approx (/ 4 ( (- 1 (* v v)) (* (PI) 3))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
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(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(approx ( (- 1 (* v v)) (* (PI) 3)) (*.f64 #s(literal 3 binary64) (PI.f64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 #s(literal 3 binary64) (PI.f64)))) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) #s(approx ( (- 1 (* v v)) (* (PI) 3)) (*.f64 #s(literal 3 binary64) (PI.f64))))))
(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 #s(literal 3 binary64) (PI.f64)))))
#s(literal 4 binary64)
(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 #s(literal 3 binary64) (PI.f64))))
(.f64 #s(approx ( (- 1 (* v v)) (* (PI) 3)) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(pow.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
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#s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
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#s(approx (sqrt (+ (* -6 (* v v)) 2)) (.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)) (.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)) (.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 (+ (* -6 (* v v)) 2) (.f64 (.f64 #s(literal -6 binary64) v) v))
#s(approx (+ (* -6 (* v v)) 2) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) (.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)) (* (- 1 (* v v)) (* (PI) 3))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (.f64 v v)) #s(literal 3 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))) (.f64 (*.f64 v v) v)))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) (.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (.f64 v v))) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))) (.f64 (*.f64 v v) v)))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (.f64 v v))) (.f64 (.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) #s(literal -3 binary64)))) (.f64 (.f64 v v) v)))
#s(approx (* (- 1 (* v v)) (* (PI) 3)) (.f64 (.f64 (*.f64 v v) (PI.f64)) #s(literal -3 binary64)))
#s(approx (* (- 1 (* v v)) (* (PI) 3)) (.f64 (fma.f64 (/.f64 (PI.f64) (.f64 v v)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (PI.f64))) (.f64 v v)))
#s(approx (- 1 (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (/ (/ 4 (* (- 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 #s(literal -4/3 binary64) (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -6 binary64))) (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)))) (.f64 (*.f64 v v) v))))
#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 #s(literal -6 binary64) (PI.f64))) (/.f64 (.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -7 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 #s(literal -7 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 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (.f64 #s(literal -6 binary64) (PI.f64))) #s(literal -4/3 binary64) (fma.f64 (/.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 #s(literal -7 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 #s(literal -6 binary64) (PI.f64))) (/.f64 (.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)) (PI.f64))))) (/.f64 (/.f64 #s(literal -7 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 #s(literal -6 binary64) (PI.f64)))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (/.f64 #s(literal -7 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 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -7 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 (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) (.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)) (* (- 1 (* v v)) (* (PI) 3))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (.f64 v v)) #s(literal 3 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) (neg.f64 (.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (.f64 v v))) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (+ (* (* -6 v) v) 2)) (* (- 1 (* v v)) (* (PI) 3))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 (/.f64 #s(literal -7 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64)) (.f64 v v))) (.f64 (.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -6 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) #s(literal -3 binary64)))) (.f64 (.f64 v v) v))))

eval23.0ms (1.3%)

Memory: -5.7MiB live, 40.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 215 to 834 computations (74.1% saved)

prune7.0ms (0.4%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	218	9	227

Accuracy

100.0%

Counts

227 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
✓	99.9%	(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
✓	99.4%	(/.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))))
▶	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
✓	97.9%	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
✓	97.9%	(/.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))))
✓	99.4%	#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 180 to 175 computations (2.8% saved)

series6.0ms (0.4%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

16 → 58

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))))
#s(literal 4 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(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)
#s(literal 2 binary64)

Outputs
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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)) #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 (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))))
#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 (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* 3 (* v (* (PI) (sqrt -6))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (+ (* (* -6 v) v) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* (* -6 v) v) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -3 (* v (* (PI) (sqrt -6))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	((/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) (- 1 (* v v)) 1 (* v v) v (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) (* 3 (PI)) 3 (PI) (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) -6 2)
1.0ms	v	@	0	((/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) (- 1 (* v v)) 1 (* v v) v (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) (* 3 (PI)) 3 (PI) (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) -6 2)
1.0ms	v	@	-inf	((/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) (- 1 (* v v)) 1 (* v v) v (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) (* 3 (PI)) 3 (PI) (sqrt (+ (* (* -6 v) v) 2)) (+ (* (* -6 v) v) 2) (* -6 v) -6 2)

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

rewrite94.0ms (5.4%)

Memory

7.8MiB live, 52.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	2910
0	365	2510
0	2490	2448

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

74 → 119

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))))
#s(literal 4 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(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)
#s(literal 2 binary64)
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (/ 4/3 (* (PI) (sqrt 2)))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/3 (/ (* (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* (PI) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (sqrt 2))) (* 4/3 (/ (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))) (* (PI) (pow (sqrt 2) 2)))))))) (+ (* -4/3 (/ (pow (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) 2) (* (PI) (pow (sqrt 2) 3)))) (* 4/3 (/ (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))) (* (PI) (pow (sqrt 2) 2))))))) (* 4/3 (/ (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))) (* (PI) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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)) #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 (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))))
#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 (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* 3 (* v (* (PI) (sqrt -6))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (+ (* (* -6 v) v) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* (* -6 v) v) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (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)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -4/3 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (* (PI) (pow (sqrt -6) 2)))) (+ (* 4/3 (/ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (- (sqrt -6) (/ 1 (sqrt -6)))) (* (PI) (pow (sqrt -6) 3)))) (/ (* (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (PI) (pow (sqrt -6) 2)))) (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (PI) (pow (sqrt -6) 3))))) (- (sqrt -6) (/ 1 (sqrt -6)))) (sqrt -6)))) (pow v 6))) (+ (* 4/3 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (pow v 4) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (* (pow v 2) (* (PI) (pow (sqrt -6) 2))))) (+ (* 4/3 (/ (pow (- (sqrt -6) (/ 1 (sqrt -6))) 2) (* (pow v 4) (* (PI) (pow (sqrt -6) 3))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (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 (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -3 (* v (* (PI) (sqrt -6))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))))
#s(approx (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))) #s(hole binary64 (* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* (* -6 v) v) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))

Outputs
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
#s(literal 4 binary64)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 v v)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) (neg.f64 (.f64 v v)))) (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (.f64 v v)) (neg.f64 (.f64 v v))) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v v) (.f64 #s(literal 1 binary64) (*.f64 v v)))))
(neg.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(.f64 (.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 3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(*.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(pow.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 #s(literal -6 binary64) v) v) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -6 binary64) v) v))) (.f64 (*.f64 #s(literal -6 binary64) 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 (.f64 #s(literal -6 binary64) v) v) (.f64 (.f64 #s(literal -6 binary64) v) v)) #s(literal 4 binary64)) (-.f64 (.f64 (*.f64 #s(literal -6 binary64) v) v) #s(literal 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) (-.f64 (.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 (.f64 #s(literal -6 binary64) v) v) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 #s(literal -6 binary64) v) v) (.f64 (.f64 #s(literal -6 binary64) v) v) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 #s(literal -6 binary64) v) v) #s(literal 2 binary64)))))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 v (*.f64 #s(literal -6 binary64) v) #s(literal 2 binary64))
(-.f64 (.f64 (.f64 #s(literal -6 binary64) v) v) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(-.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 #s(literal -6 binary64) v) v)))
(+.f64 (.f64 (.f64 #s(literal -6 binary64) v) v) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -6 binary64) v) v))
(*.f64 #s(literal -6 binary64) v)
(*.f64 v #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
#s(approx (/ 4 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) (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 (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2))))) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (.f64 v v)) (fma.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -4/3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 27/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 5/2 binary64)))) (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4/3 binary64) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -4/3 binary64) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4/3 binary64))) (/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (fma.f64 (/.f64 (.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -4/3 binary64) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4/3 binary64)))) (.f64 v v) (.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 v v) (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) (.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64) (.f64 (.f64 (.f64 v v) (PI.f64)) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) (fma.f64 (.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (PI.f64) (.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (PI.f64)) (.f64 v v)))) (.f64 v v) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
#s(approx (* (- 1 (* v v)) (* (* 3 (PI)) (sqrt (+ (* (* -6 v) v) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (PI.f64) (.f64 (.f64 (.f64 v v) (PI.f64)) (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 27/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 5/2 binary64))))))) (.f64 v v) (.f64 (.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) #s(literal 3 binary64))) (.f64 v v) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (- 1 (* v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
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#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)))

eval32.0ms (1.8%)

Memory: -34.6MiB live, 19.0MiB allocated; 20ms collecting garbage
Compiler: Compiled 2 090 to 637 computations (69.5% saved)

prune7.0ms (0.4%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	104	9	113

Accuracy

100.0%

Counts

113 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
✓	99.9%	(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
✓	99.4%	(/.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))))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
✓	97.9%	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
✓	97.9%	(/.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))))
✓	99.4%	#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 371 to 261 computations (29.6% saved)

regimes13.0ms (0.7%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Counts

14 → 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 (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (.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 (PI.f64) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))))
(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #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))))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64) (.f64 (.f64 (.f64 v v) (PI.f64)) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))

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))))

Calls

4 calls:

4.0ms	v
3.0ms	(*.f64 v v)
3.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
3.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

Accuracy	Segments	Branch
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%	1	`v`

Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes14.0ms (0.8%)

Memory

-24.2MiB live, 21.6MiB allocated; 6ms 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 (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (.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 (PI.f64) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))))
(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))

Outputs

(/.f64 #s(approx (/ 4 (* (- 1 (* v v)) (* (PI) 3))) (fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))

Calls

4 calls:

7.0ms	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

Accuracy	Segments	Branch
99.9%	1	`(*.f64 v v)`
99.9%	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)))))`
99.9%	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))))))`
99.9%	1	`v`

Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes10.0ms (0.6%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms collecting garbage

Counts

10 → 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 (* (- 1 (* v v)) (* (PI) 3)) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (.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 (PI.f64) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))))

Outputs
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (* (PI) 3)) (.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	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

Accuracy	Segments	Branch
99.4%	1	`(*.f64 v v)`
99.4%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
99.4%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
99.4%	1	`v`

Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes8.0ms (0.5%)

Memory

-30.7MiB live, 13.7MiB allocated; 4ms 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 (* (- 1 (* v v)) (* (PI) 3)) (*.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:

3.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
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))))))

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 v v)`
99.4%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
99.4%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
99.4%	1	`v`

Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes4.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Accuracy

Total -1.0b remaining (-251.9%)

Threshold costs -1b (-251.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
99.4%	1	`(*.f64 v v)`
99.4%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
99.4%	1	`v`

Compiler

Compiled 35 to 33 computations (5.7% saved)

derivations55.0ms (3.2%)

Memory

-2.8MiB live, 41.9MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 75 to 51 computations (32% saved)

preprocess45.0ms (2.6%)

Memory: 11.9MiB live, 64.0MiB allocated; 13ms collecting garbage
Remove: (abs v)
Compiler: Compiled 300 to 267 computations (11% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.2%)

sample893.0ms (50.9%)

preprocess43.0ms (2.5%)

series12.0ms (0.7%)

rewrite123.0ms (7%)

eval11.0ms (0.6%)

prune9.0ms (0.5%)

series12.0ms (0.7%)

rewrite109.0ms (6.2%)

eval46.0ms (2.6%)

prune7.0ms (0.4%)

series11.0ms (0.6%)

rewrite157.0ms (9%)

eval23.0ms (1.3%)

prune7.0ms (0.4%)

series6.0ms (0.4%)

rewrite94.0ms (5.4%)

eval32.0ms (1.8%)

prune7.0ms (0.4%)

regimes13.0ms (0.7%)

regimes14.0ms (0.8%)

regimes10.0ms (0.6%)

regimes8.0ms (0.5%)

regimes4.0ms (0.2%)

derivations55.0ms (3.2%)

preprocess45.0ms (2.6%)

end0.0ms (0%)

Profiling