Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

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

analyze6.0ms (0.4%)

Memory

-39.0MiB live, 5.0MiB allocated; 4ms 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 21 to 16 computations (23.8% saved)

sample837.0ms (50.1%)

Memory

25.5MiB live, 1 152.7MiB allocated; 223ms collecting garbage

Samples

613.0ms	8 256×	0	valid
1.0ms	14×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 424.0ms

ival-mult!: 225.0ms (53.1% of total)

ival-sqrt: 133.0ms (31.4% of total)

ival-sub!: 65.0ms (15.3% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess34.0ms (2%)

Memory

1.6MiB live, 48.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	58
1	80	57
2	232	57
3	762	57
4	4111	57

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Status

Accuracy

Program

▶

100.0%

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

Symmetry

(abs v)

Compiler

Compiled 32 to 28 computations (12.5% saved)

series10.0ms (0.6%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

14 → 47

Calls

Call 1

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

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#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) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))
2.0ms	v	@	0	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))
2.0ms	v	@	-inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))

Time

Variable

Point

Expression

3.0ms

inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))

2.0ms

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))

2.0ms

-inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))

rewrite75.0ms (4.5%)

Memory

17.5MiB live, 79.1MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1702
0	257	1513
0	1343	1413

Stop Event

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

Counts

61 → 96

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#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) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 (.f64 #s(literal 3 binary64) v) v))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3 binary64) v) v)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (.f64 #s(literal -3 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3 binary64) v) v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (.f64 #s(literal -3 binary64) (.f64 v v))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v))))))
(neg.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) v) v))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 #s(literal 3 binary64) v) v)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 3 binary64) v) v)
(.f64 (.f64 v v) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (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)))))
(/.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))))))
(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) (.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(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 v v) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 v v) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/16 binary64)) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)))))) (.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (.f64 #s(literal -3/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 (.f64 #s(literal -9/32 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -27/64 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -9/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64)) (.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (.f64 v v) #s(literal -9/8 binary64)) (.f64 v v) #s(literal -3/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (- 1 (* 3 (* v v))) #s(literal 1 binary64))
#s(approx (- 1 (* 3 (* v v))) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (* 3 (* v v)) (.f64 (.f64 #s(literal 3 binary64) v) v))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (- 1 (* v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 v v) (.f64 v v)))))) (.f64 (*.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 v v) (.f64 v v))))))) (.f64 (*.f64 v v) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal 1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v))
#s(approx (- 1 (* 3 (* v v))) (.f64 #s(literal -3 binary64) (.f64 v v)))
#s(approx (- 1 (* 3 (* v v))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 3 binary64)) (*.f64 v v)))
#s(approx (- 1 (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 v v) (.f64 v v)))))) (.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 v v) (.f64 v v))))))) (.f64 (*.f64 v v) v))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v)))

eval14.0ms (0.8%)

Memory: -23.4MiB live, 23.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 289 to 461 computations (64.2% saved)

prune5.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	89	6	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	6	96

Accuracy

100.0%

Counts

96 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v v) (.f64 #s(literal 1 binary64) (*.f64 v v))))))
▶	99.3%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
	99.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 v v) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	99.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v)))))
▶	99.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 272 to 246 computations (9.6% saved)

series20.0ms (1.2%)

Memory

-19.5MiB live, 27.4MiB allocated; 2ms collecting garbage

Counts

37 → 140

Calls

Call 1

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

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 (+ 1 (* -1 (pow v 6)))))
#s(approx (pow (* v v) 3) #s(hole binary64 (pow v 6)))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 1))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 (+ 1 (pow v 2))))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
#s(approx (+ (* (* v v) (* v v)) (* 1 (* v v))) #s(hole binary64 (pow v 2)))
#s(approx (+ (* (* v v) (* v v)) (* 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ 1 (pow v 2)))))
#s(approx (* 1 (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (* (sqrt 2) -5/2) (* v v)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 (* -1 (pow v 6))))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 (* (pow v 6) (- (/ 1 (pow v 6)) 1))))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 (pow v 4)))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 (* (pow v 4) (+ 1 (/ 1 (pow v 2))))))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 (* (pow v 4) (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))))))
#s(approx (+ (* (* v v) (* v v)) (* 1 (* v v))) #s(hole binary64 (pow v 4)))
#s(approx (+ (* (* v v) (* v v)) (* 1 (* v v))) #s(hole binary64 (* (pow v 4) (+ 1 (/ 1 (pow v 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#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 (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* (* v v) (* v v)) (* 1 (* v v))) (* 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)
6.0ms	v	@	-inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* (* v v) (* v v)) (* 1 (* v v))) (* 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)
4.0ms	v	@	0	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* (* v v) (* v v)) (* 1 (* v v))) (* 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)

Time

Variable

Point

Expression

6.0ms

inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* (* v v) (* v v)) (* 1 (* v v))) (* 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)

6.0ms

-inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* (* v v) (* v v)) (* 1 (* v v))) (* 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)

4.0ms

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* (* v v) (* v v)) (* 1 (* v v))) (* 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)

rewrite104.0ms (6.2%)

Memory

9.2MiB live, 147.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	470	5576
0	527	4468
0	2571	4272

Stop Event

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

Counts

177 → 347

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v v) (.f64 #s(literal 1 binary64) (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v 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)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 v v) #s(literal 3 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))))
(fma.f64 (.f64 v v) (.f64 v v) (.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 #s(literal 1 binary64) (.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v)))))
(.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 (+ 1 (* -1 (pow v 6)))))
#s(approx (pow (* v v) 3) #s(hole binary64 (pow v 6)))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 1))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 (+ 1 (pow v 2))))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
#s(approx (+ (* (* v v) (* v v)) (* 1 (* v v))) #s(hole binary64 (pow v 2)))
#s(approx (+ (* (* v v) (* v v)) (* 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ 1 (pow v 2)))))
#s(approx (* 1 (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (* (sqrt 2) -5/2) (* v v)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v))))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 (* -1 (pow v 6))))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 (* (pow v 6) (- (/ 1 (pow v 6)) 1))))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 (pow v 4)))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 (* (pow v 4) (+ 1 (/ 1 (pow v 2))))))
#s(approx (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))) #s(hole binary64 (* (pow v 4) (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))))))
#s(approx (+ (* (* v v) (* v v)) (* 1 (* v v))) #s(hole binary64 (pow v 4)))
#s(approx (+ (* (* v v) (* v v)) (* 1 (* v v))) #s(hole binary64 (* (pow v 4) (+ 1 (/ 1 (pow v 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#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 (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (* (* v v) (* v v)) (* 1 (* v v)))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
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(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) #s(literal -4 binary64))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
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(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
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(neg.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 1 binary64)))
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(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) v) v))
(+.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 #s(literal 3 binary64) v) v)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 3 binary64) v) v)
(.f64 (.f64 v v) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(.f64 (.f64 #s(literal 1 binary64) v) v)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
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(.f64 #s(literal 1 binary64) (.f64 v v))
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(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) v) v)) (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v))))
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(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 v) #s(literal 6 binary64)))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v)) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64))))
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(neg.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 1 binary64)))
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(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) v) v))
(+.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
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#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 v v) v) v)))))) (.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 v v) v) v))))) (.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 v v) v) v)))))) (.f64 (*.f64 v v) v))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) v)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v)))

eval35.0ms (2.1%)

Memory: 2.6MiB live, 93.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 773 to 1 418 computations (62.4% saved)

prune7.0ms (0.4%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	318	4	322
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	322	6	328

Accuracy

100.0%

Counts

328 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64))))
✓	99.3%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓	99.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
▶	49.0%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) ( (* (sqrt 2) -5/2) (* v v))) (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) (*.f64 v v)))))

Compiler

Compiled 134 to 122 computations (9% saved)

series19.0ms (1.1%)

Memory

-23.0MiB live, 35.5MiB allocated; 4ms collecting garbage

Counts

38 → 148

Calls

Call 1

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

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) #s(hole binary64 (sqrt 2)))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (/ (sqrt 2) (pow v 2))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (/ (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2)))) (pow v 2))))
#s(approx (/ (sqrt 2) (* v v)) #s(hole binary64 (/ (sqrt 2) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (* -5/2 (sqrt 2)) v) #s(hole binary64 (* -5/2 (* v (sqrt 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 (+ 1 (* -1 (pow v 6)))))
#s(approx (pow (* v v) 3) #s(hole binary64 (pow v 6)))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (+ 1 (pow v 2))))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
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#s(approx (+ (* v v) 1) #s(hole binary64 (+ 1 (pow v 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
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#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
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#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (* -5/2 (sqrt 2))))
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#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
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#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 (* -1 (pow v 6))))
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#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (pow v 4)))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (* (pow v 4) (+ 1 (/ 1 (pow v 2))))))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (* (pow v 4) (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))))))
#s(approx (+ (* v v) 1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) 1) #s(hole binary64 (* (pow v 2) (+ 1 (/ 1 (pow v 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (* -3 (pow v 2))))
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#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
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#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
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#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
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#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
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#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
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#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	v	@	inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) -5/2 (sqrt 2) 2 (/ (sqrt 2) (* v v)) (* v v) v (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ (* (+ (* v v) 1) (* v v)) 1) (+ (* v v) 1) (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)))
4.0ms	v	@	-inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) -5/2 (sqrt 2) 2 (/ (sqrt 2) (* v v)) (* v v) v (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ (* (+ (* v v) 1) (* v v)) 1) (+ (* v v) 1) (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)))
4.0ms	v	@	0	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) -5/2 (sqrt 2) 2 (/ (sqrt 2) (* v v)) (* v v) v (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ (* (+ (* v v) 1) (* v v)) 1) (+ (* v v) 1) (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)))

Time

Variable

Point

Expression

7.0ms

inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) -5/2 (sqrt 2) 2 (/ (sqrt 2) (* v v)) (* v v) v (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ (* (+ (* v v) 1) (* v v)) 1) (+ (* v v) 1) (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)))

4.0ms

-inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) -5/2 (sqrt 2) 2 (/ (sqrt 2) (* v v)) (* v v) v (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ (* (+ (* v v) 1) (* v v)) 1) (+ (* v v) 1) (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)))

4.0ms

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) -5/2 (sqrt 2) 2 (/ (sqrt 2) (* v v)) (* v v) v (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) (- 1 (pow (* v v) 3)) (pow (* v v) 3) (+ (* (+ (* v v) 1) (* v v)) 1) (+ (* v v) 1) (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)))

rewrite112.0ms (6.7%)

Memory

26.6MiB live, 160.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	5747
0	595	4960
0	3017	4794

Stop Event

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

Counts

186 → 345

Calls

Call 1

Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) ( (* (sqrt 2) -5/2) (* v v))) (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) (*.f64 v v)))))
(.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) ( (* (sqrt 2) -5/2) (* v v))) (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) (*.f64 v v))))
#s(literal 1/4 binary64)
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) (*.f64 v v)))
(.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) (*.f64 v v))
(fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
#s(literal -5/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(*.f64 v v)
v
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 v v) #s(literal 3 binary64)))
(pow.f64 (*.f64 v v) #s(literal 3 binary64))
(fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 v v #s(literal 1 binary64))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) #s(hole binary64 (sqrt 2)))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (/ (sqrt 2) (pow v 2))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (/ (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2)))) (pow v 2))))
#s(approx (/ (sqrt 2) (* v v)) #s(hole binary64 (/ (sqrt 2) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (* -5/2 (sqrt 2)) v) #s(hole binary64 (* -5/2 (* v (sqrt 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 (+ 1 (* -1 (pow v 6)))))
#s(approx (pow (* v v) 3) #s(hole binary64 (pow v 6)))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (+ 1 (pow v 2))))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
#s(approx (+ (* v v) 1) #s(hole binary64 1))
#s(approx (+ (* v v) 1) #s(hole binary64 (+ 1 (pow v 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
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#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
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#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
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#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
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#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
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#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
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#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (/ (- 1 (pow (* v v) 3)) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- 1 (pow (* v v) 3)) #s(hole binary64 (* -1 (pow v 6))))
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#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (pow v 4)))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (* (pow v 4) (+ 1 (/ 1 (pow v 2))))))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (* (pow v 4) (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))))))
#s(approx (+ (* v v) 1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) 1) #s(hole binary64 (* (pow v 2) (+ 1 (/ 1 (pow v 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
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#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
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#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (* -3 (pow v 2))))
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#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
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#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
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#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
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#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
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#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
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#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
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#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(approx (+ ( (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)) #s(literal 1/4 binary64)))
(.f64 #s(approx (+ ( (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) #s(approx (+ ( (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)))
#s(literal 1/4 binary64)
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v))
(.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)
(.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) (*.f64 v v))
(.f64 (.f64 v v) (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (*.f64 v v)))
(fma.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (*.f64 v v)))
(fma.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (.f64 (.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (.f64 v v) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (*.f64 v v)))
(fma.f64 (.f64 v v) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 v (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (*.f64 v v)))
(fma.f64 v (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (.f64 (.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (.f64 v v)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (*.f64 v v)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (.f64 v v)) (.f64 (.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(+.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (.f64 v v)))
(+.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)))) (-.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))))))
(fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
(+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)))
#s(literal -5/2 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))
(+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 v v) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 v (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(.f64 (.f64 #s(literal -5/2 binary64) v) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/2 binary64))
(.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(.f64 #s(literal -5/2 binary64) (.f64 v (sqrt.f64 #s(literal 2 binary64))))
(.f64 v (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 v) #s(literal 6 binary64)))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 v) #s(literal 6 binary64)))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 v) #s(literal 6 binary64)))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (expm1.f64 (.f64 (log.f64 v) #s(literal 6 binary64))))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 (.f64 #s(literal 3 binary64) v) v))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3 binary64) v) v)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) (.f64 (.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) (.f64 (.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3 binary64) v) v)))))
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#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)))) (.f64 (.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) v))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))))) v)))

eval40.0ms (2.4%)

Memory: -24.0MiB live, 76.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 960 to 1 582 computations (68.1% saved)

prune7.0ms (0.4%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	346	2	348
Fresh	0	0	0
Picked	3	1	4
Done	0	2	2
Total	349	5	354

Accuracy

100.0%

Counts

354 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 (sqrt.f64 #s(approx ( 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64))))
✓	99.3%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓	99.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 109 to 101 computations (7.3% saved)

series12.0ms (0.7%)

Memory

-27.5MiB live, 18.8MiB allocated; 3ms collecting garbage

Counts

26 → 111

Calls

Call 1

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

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- 1 (* (* (* v v) (* v v)) (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* (* (* v v) (* v v)) (* v v))) #s(hole binary64 (+ 1 (* -1 (pow v 6)))))
#s(approx (* (* (* v v) (* v v)) (* v v)) #s(hole binary64 (pow v 6)))
#s(approx (* (* v v) (* v v)) #s(hole binary64 (pow v 4)))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (+ 1 (pow v 2))))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
#s(approx (+ (* v v) 1) #s(hole binary64 1))
#s(approx (+ (* v v) 1) #s(hole binary64 (+ 1 (pow v 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 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 (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- 1 (* (* (* v v) (* v v)) (* v v))) #s(hole binary64 (* -1 (pow v 6))))
#s(approx (- 1 (* (* (* v v) (* v v)) (* v v))) #s(hole binary64 (* (pow v 6) (- (/ 1 (pow v 6)) 1))))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (pow v 4)))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (* (pow v 4) (+ 1 (/ 1 (pow v 2))))))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (* (pow v 4) (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))))))
#s(approx (+ (* v v) 1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) 1) #s(hole binary64 (* (pow v 2) (+ 1 (/ 1 (pow v 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (* (sqrt -3) (sqrt 2)))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	v	@	inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) (- 1 (* (* (* v v) (* v v)) (* v v))) (* (* (* v v) (* v v)) (* v v)) (* (* v v) (* v v)) (+ (* (+ (* v v) 1) (* v v)) 1) (+ (* v v) 1) (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)))
3.0ms	v	@	-inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) (- 1 (* (* (* v v) (* v v)) (* v v))) (* (* (* v v) (* v v)) (* v v)) (* (* v v) (* v v)) (+ (* (+ (* v v) 1) (* v v)) 1) (+ (* v v) 1) (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)))
2.0ms	v	@	0	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) (- 1 (* (* (* v v) (* v v)) (* v v))) (* (* (* v v) (* v v)) (* v v)) (* (* v v) (* v v)) (+ (* (+ (* v v) 1) (* v v)) 1) (+ (* v v) 1) (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)))

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite106.0ms (6.4%)

Memory

1.8MiB live, 145.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	462	4519
0	498	3792
0	2776	3567

Stop Event

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

Counts

137 → 233

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (*.f64 v v)))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (*.f64 v v))
(.f64 (.f64 v v) (*.f64 v v))
(fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 v v #s(literal 1 binary64))
(/.f64 (.f64 (sqrt.f64 #s(approx ( 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(approx ( 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- 1 (* (* (* v v) (* v v)) (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* (* (* v v) (* v v)) (* v v))) #s(hole binary64 (+ 1 (* -1 (pow v 6)))))
#s(approx (* (* (* v v) (* v v)) (* v v)) #s(hole binary64 (pow v 6)))
#s(approx (* (* v v) (* v v)) #s(hole binary64 (pow v 4)))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (+ 1 (pow v 2))))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
#s(approx (+ (* v v) 1) #s(hole binary64 1))
#s(approx (+ (* v v) 1) #s(hole binary64 (+ 1 (pow v 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 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 (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- 1 (* (* (* v v) (* v v)) (* v v))) #s(hole binary64 (* -1 (pow v 6))))
#s(approx (- 1 (* (* (* v v) (* v v)) (* v v))) #s(hole binary64 (* (pow v 6) (- (/ 1 (pow v 6)) 1))))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (pow v 4)))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (* (pow v 4) (+ 1 (/ 1 (pow v 2))))))
#s(approx (+ (* (+ (* v v) 1) (* v v)) 1) #s(hole binary64 (* (pow v 4) (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))))))
#s(approx (+ (* v v) 1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) 1) #s(hole binary64 (* (pow v 2) (+ 1 (/ 1 (pow v 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (* (sqrt -3) (sqrt 2)))))
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#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))))
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#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))

Outputs
(.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 v) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v #s(literal 1 binary64))) (/.f64 (sqrt.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 v) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) v) v #s(literal 1 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 v) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) v) v #s(literal 1 binary64)))))
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(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
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#s(literal 2 binary64)
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#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64)))) (.f64 (.f64 (.f64 v v) v) v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (+ (* (+ (* v v) 1) (* v v)) 1))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64)))) (.f64 (.f64 (.f64 v v) v) v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) #s(literal 1/4 binary64)))) (.f64 (*.f64 v v) v))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 (.f64 v v) v) v))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 (.f64 v v) v) v))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 (*.f64 v v) v) v)))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 (*.f64 v v) v) v)))) v)))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 v v) v) v))))) (.f64 (*.f64 v v) v))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 v v) v) v)))))) (.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (*.f64 v v) v)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)))) (.f64 (.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 (.f64 v v) v) v))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 (.f64 v v) v) v))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 (.f64 v v) v) v))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 (.f64 v v) v) v))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) v))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 (.f64 v v) v) v))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 (.f64 v v) v) v))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))))) v)))

eval28.0ms (1.7%)

Memory: 22.4MiB live, 67.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 815 to 1 268 computations (66.8% saved)

prune37.0ms (2.2%)

Memory

-29.7MiB live, 16.7MiB allocated; 2ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	267	6	273

Accuracy

100.0%

Counts

273 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (.f64 (sqrt.f64 #s(approx ( 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
	99.3%	(/.f64 (.f64 (sqrt.f64 #s(approx ( 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(approx (- 1 ( v v)) #s(literal 1 binary64))) #s(literal 4 binary64))
	100.0%	(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64))))
✓	99.3%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓	99.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 303 to 222 computations (26.7% saved)

regimes11.0ms (0.7%)

Memory

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

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms

3.0ms

(*.f64 v v)

3.0ms

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

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 v v)`
100.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
100.0%	1	`v`

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes5.0ms (0.3%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))

Outputs

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))

Calls

3 calls:

2.0ms

1.0ms

(*.f64 v v)

1.0ms

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

Results

Accuracy	Segments	Branch
99.7%	1	`(*.f64 v v)`
99.7%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.7%	1	`v`

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes4.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

3 calls:

1.0ms

(*.f64 v v)

1.0ms

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

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 v v)`
99.3%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.3%	1	`v`

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes23.0ms (1.4%)

Memory

-46.9MiB live, 7.2MiB allocated; 4ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

20.0ms

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

1.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 v v)`
99.3%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.3%	1	`v`

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes3.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms

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

1.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 v v)`
99.3%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.3%	1	`v`

Compiler

Compiled 19 to 17 computations (10.5% saved)

derivations53.0ms (3.2%)

Memory

10.9MiB live, 85.5MiB allocated; 22ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 73 to 44 computations (39.7% saved)

preprocess65.0ms (3.9%)

Memory: 32.8MiB live, 132.0MiB allocated; 47ms collecting garbage
Remove: (abs v)
Compiler: Compiled 303 to 262 computations (13.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze6.0ms (0.4%)

sample837.0ms (50.1%)

preprocess34.0ms (2%)

series10.0ms (0.6%)

rewrite75.0ms (4.5%)

eval14.0ms (0.8%)

prune5.0ms (0.3%)

series20.0ms (1.2%)

rewrite104.0ms (6.2%)

eval35.0ms (2.1%)

prune7.0ms (0.4%)

series19.0ms (1.1%)

rewrite112.0ms (6.7%)

eval40.0ms (2.4%)

prune7.0ms (0.4%)

series12.0ms (0.7%)

rewrite106.0ms (6.4%)

eval28.0ms (1.7%)

prune37.0ms (2.2%)

regimes11.0ms (0.7%)

regimes5.0ms (0.3%)

regimes4.0ms (0.2%)

regimes23.0ms (1.4%)

regimes3.0ms (0.2%)

derivations53.0ms (3.2%)

preprocess65.0ms (3.9%)

end0.0ms (0%)

Profiling