Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze3.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample883.0ms (50.7%)

Memory

59.1MiB live, 1 401.4MiB allocated; 400ms collecting garbage

Samples

611.0ms	8 256×	0	valid
1.0ms	13×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 337.0ms

ival-mult!: 199.0ms (59% of total)

ival-sqrt: 76.0ms (22.5% of total)

ival-sub!: 61.0ms (18.1% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess83.0ms (4.8%)

Memory

-38.1MiB live, 60.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	58
1	79	54
2	237	54
3	819	48
4	6300	48

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 38 to 28 computations (26.3% saved)

series8.0ms (0.4%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

14 → 44

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 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (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) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (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) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (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 (* -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 (* -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 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5))))) (pow v 6))) (+ (* 1/4 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (pow v 2)))))))))
#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 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5))))) (pow v 6))) (+ (* 1/4 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (pow v 2))))))))))
#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)))

rewrite59.0ms (3.4%)

Memory

-8.3MiB live, 83.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	1626
0	242	1486
0	1181	1398

Stop Event

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

Counts

58 → 83

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

eval8.0ms (0.4%)

Memory: 18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 562 to 399 computations (84.4% saved)

prune5.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Accuracy

100.0%

Counts

74 → 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)))
▶	99.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	98.1%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
	99.0%	(.f64 #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))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.1%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	98.0%	#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 306 to 230 computations (24.8% saved)

series18.0ms (1%)

Memory

-20.8MiB live, 29.0MiB allocated; 8ms collecting garbage

Counts

29 → 60

Calls

Call 1

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

Outputs
#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 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (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) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (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)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (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 (* -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 (* -1 (pow v 2)))))
#s(approx (* -5/8 (* v v)) #s(hole binary64 (* -5/8 (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 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5))))) (pow v 6))) (+ (* 1/4 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (pow v 2)))))))))
#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 (- 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 (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* -3/2 (pow v 2))))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))))
#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 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5))))) (pow v 6))) (+ (* 1/4 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (pow v 2))))))))))
#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
12.0ms	v	@	inf	((* (/ (* (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 2) 2 (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 4 (- 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))))) (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* -5/8 (* v v)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) -3/2)
3.0ms	v	@	-inf	((* (/ (* (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 2) 2 (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 4 (- 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))))) (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* -5/8 (* v v)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) -3/2)
2.0ms	v	@	0	((* (/ (* (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 2) 2 (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 4 (- 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))))) (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* -5/8 (* v v)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) -3/2)

Time

Variable

Point

Expression

12.0ms

inf

((* (/ (* (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 2) 2 (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 4 (- 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))))) (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* -5/8 (* v v)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) -3/2)

3.0ms

-inf

((* (/ (* (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 2) 2 (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 4 (- 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))))) (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* -5/8 (* v v)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) -3/2)

2.0ms

((* (/ (* (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 2) 2 (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 4 (- 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))))) (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* -5/8 (* v v)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) -3/2)

rewrite66.0ms (3.8%)

Memory

10.0MiB live, 101.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	2277
0	339	2040
0	1600	1973

Stop Event

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

Counts

89 → 151

Calls

Call 1

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

eval22.0ms (1.3%)

Memory: -9.3MiB live, 36.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 709 to 733 computations (87.2% saved)

prune5.0ms (0.3%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	166	4	170
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	171	5	176

Accuracy

100.0%

Counts

176 → 5

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 #s(literal -3 binary64) v) v #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
▶	99.1%	#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
▶	99.1%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.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 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
✓	98.0%	#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))))
▶	51.5%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))))

Compiler

Compiled 198 to 117 computations (40.9% saved)

series39.0ms (2.2%)

Memory

-1.0MiB live, 50.0MiB allocated; 6ms collecting garbage

Counts

38 → 88

Calls

Call 1

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

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 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (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) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (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) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) #s(hole binary64 (* 1/4 (/ (sqrt 2) (pow v 2)))))
#s(approx (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) #s(hole binary64 (/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))))
#s(approx (/ (sqrt 2) (* v v)) #s(hole binary64 (/ (sqrt 2) (pow v 2))))
#s(approx (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/16 (sqrt 2))))) (* 5/8 (sqrt 2)))))))
#s(approx (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* 5/2 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/16 (sqrt 2))))) (+ (* -25/16 (sqrt 2)) (* 25/16 (sqrt 2))))) (* 5/8 (sqrt 2)))))))
#s(approx (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) #s(hole binary64 (* 1/64 (pow (sqrt 2) 3))))
#s(approx (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) #s(hole binary64 (+ (* -125/512 (* (pow v 6) (pow (sqrt 2) 3))) (* 1/64 (pow (sqrt 2) 3)))))
#s(approx (pow (* (* (* v v) -5/8) (sqrt 2)) 3) #s(hole binary64 (* -125/512 (* (pow v 6) (pow (sqrt 2) 3)))))
#s(approx (* (* (* v v) -5/8) (sqrt 2)) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (* v v) -5/8) #s(hole binary64 (* -5/8 (pow v 2))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (* 1/16 (pow (sqrt 2) 2))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (+ (* 1/16 (pow (sqrt 2) 2)) (* 5/32 (* (pow v 2) (pow (sqrt 2) 2))))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (+ (* 1/16 (pow (sqrt 2) 2)) (* (pow v 2) (- (* 25/64 (* (pow v 2) (pow (sqrt 2) 2))) (* -5/32 (pow (sqrt 2) 2)))))))
#s(approx (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))) #s(hole binary64 (* -5/32 (* (pow v 2) (pow (sqrt 2) 2)))))
#s(approx (+ (* (* v v) -5/8) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* v v) -5/8) 1/4) #s(hole binary64 (+ 1/4 (* -5/8 (pow v 2)))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* 2 (+ (* (* -3 v) v) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* (* -3 v) v) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 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 (* -3 v) #s(hole binary64 (* -3 v)))
#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 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5))))) (pow v 6))) (+ (* 1/4 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (pow v 2)))))))))
#s(approx (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) #s(hole binary64 (* -5/8 (sqrt 2))))
#s(approx (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) #s(hole binary64 (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))))
#s(approx (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) #s(hole binary64 (* (pow v 2) (- (+ (* -1 (/ (+ (* -1/10 (sqrt 2)) (* 1/10 (sqrt 2))) (pow v 4))) (* -5/8 (sqrt 2))) (* -1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) #s(hole binary64 (* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (* 2/5 (/ (+ (* -1/10 (sqrt 2)) (* 1/10 (sqrt 2))) (pow v 6)))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (+ (* -1/10 (/ (sqrt 2) (pow v 4))) (* 1/10 (/ (sqrt 2) (pow v 4)))))))))
#s(approx (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) #s(hole binary64 (* (pow v 6) (+ (* -125/512 (pow (sqrt 2) 3)) (* 1/64 (/ (pow (sqrt 2) 3) (pow v 6)))))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (* 25/64 (* (pow v 4) (pow (sqrt 2) 2)))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (* (pow v 4) (+ (* 5/32 (/ (pow (sqrt 2) 2) (pow v 2))) (* 25/64 (pow (sqrt 2) 2))))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (* (pow v 4) (- (+ (* 1/16 (/ (pow (sqrt 2) 2) (pow v 4))) (* 25/64 (pow (sqrt 2) 2))) (* -5/32 (/ (pow (sqrt 2) 2) (pow v 2)))))))
#s(approx (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))) #s(hole binary64 (* 5/32 (* (pow v 2) (pow (sqrt 2) 2)))))
#s(approx (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))) #s(hole binary64 (* (pow v 2) (- (* 1/16 (/ (pow (sqrt 2) 2) (pow v 2))) (* -5/32 (pow (sqrt 2) 2))))))
#s(approx (+ (* (* v v) -5/8) 1/4) #s(hole binary64 (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (* 2 (+ (* (* -3 v) v) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* (* -3 v) v) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#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 (- 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 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5))))) (pow v 6))) (+ (* 1/4 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (pow v 2))))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	v	@	inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* (* v v) (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2)))) (* v v) v (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) (/ (sqrt 2) (* v v)) (sqrt 2) 2 1/4 (* -5/8 (sqrt 2)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (* (* (* v v) -5/8) (sqrt 2)) (* (* v v) -5/8) 3 (pow (* 1/4 (sqrt 2)) 3) (* 1/4 (sqrt 2)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))) (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v) -3 1 (- 1 (* v v)) 4)
7.0ms	v	@	0	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* (* v v) (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2)))) (* v v) v (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) (/ (sqrt 2) (* v v)) (sqrt 2) 2 1/4 (* -5/8 (sqrt 2)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (* (* (* v v) -5/8) (sqrt 2)) (* (* v v) -5/8) 3 (pow (* 1/4 (sqrt 2)) 3) (* 1/4 (sqrt 2)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))) (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v) -3 1 (- 1 (* v v)) 4)
5.0ms	v	@	-inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* (* v v) (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2)))) (* v v) v (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) (/ (sqrt 2) (* v v)) (sqrt 2) 2 1/4 (* -5/8 (sqrt 2)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (* (* (* v v) -5/8) (sqrt 2)) (* (* v v) -5/8) 3 (pow (* 1/4 (sqrt 2)) 3) (* 1/4 (sqrt 2)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))) (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v) -3 1 (- 1 (* v v)) 4)

Time

Variable

Point

Expression

24.0ms

inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* (* v v) (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2)))) (* v v) v (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) (/ (sqrt 2) (* v v)) (sqrt 2) 2 1/4 (* -5/8 (sqrt 2)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (* (* (* v v) -5/8) (sqrt 2)) (* (* v v) -5/8) 3 (pow (* 1/4 (sqrt 2)) 3) (* 1/4 (sqrt 2)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))) (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v) -3 1 (- 1 (* v v)) 4)

7.0ms

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* (* v v) (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2)))) (* v v) v (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) (/ (sqrt 2) (* v v)) (sqrt 2) 2 1/4 (* -5/8 (sqrt 2)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (* (* (* v v) -5/8) (sqrt 2)) (* (* v v) -5/8) 3 (pow (* 1/4 (sqrt 2)) 3) (* 1/4 (sqrt 2)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))) (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v) -3 1 (- 1 (* v v)) 4)

5.0ms

-inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (* (* v v) (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2)))) (* v v) v (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) (/ (sqrt 2) (* v v)) (sqrt 2) 2 1/4 (* -5/8 (sqrt 2)) -5/8 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (* (* (* v v) -5/8) (sqrt 2)) (* (* v v) -5/8) 3 (pow (* 1/4 (sqrt 2)) 3) (* 1/4 (sqrt 2)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))) (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v) -3 1 (- 1 (* v v)) 4)

rewrite101.0ms (5.8%)

Memory

2.3MiB live, 137.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	474	4109
0	540	3246
0	2754	3190

Stop Event

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

Counts

126 → 281

Calls

Call 1

Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 v v)
v
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -5/8 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.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 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.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 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (pow.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 (.f64 (.f64 (*.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
#s(literal 3 binary64)
(pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.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 (.f64 v v) #s(literal -5/8 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) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #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 #s(literal -3 binary64) v) v #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -3 binary64) v)
#s(literal -3 binary64)
#s(literal 1 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))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (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) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (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) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) #s(hole binary64 (* 1/4 (/ (sqrt 2) (pow v 2)))))
#s(approx (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) #s(hole binary64 (/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))))
#s(approx (/ (sqrt 2) (* v v)) #s(hole binary64 (/ (sqrt 2) (pow v 2))))
#s(approx (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/16 (sqrt 2))))) (* 5/8 (sqrt 2)))))))
#s(approx (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* 5/2 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/16 (sqrt 2))))) (+ (* -25/16 (sqrt 2)) (* 25/16 (sqrt 2))))) (* 5/8 (sqrt 2)))))))
#s(approx (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) #s(hole binary64 (* 1/64 (pow (sqrt 2) 3))))
#s(approx (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) #s(hole binary64 (+ (* -125/512 (* (pow v 6) (pow (sqrt 2) 3))) (* 1/64 (pow (sqrt 2) 3)))))
#s(approx (pow (* (* (* v v) -5/8) (sqrt 2)) 3) #s(hole binary64 (* -125/512 (* (pow v 6) (pow (sqrt 2) 3)))))
#s(approx (* (* (* v v) -5/8) (sqrt 2)) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (* v v) -5/8) #s(hole binary64 (* -5/8 (pow v 2))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (* 1/16 (pow (sqrt 2) 2))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (+ (* 1/16 (pow (sqrt 2) 2)) (* 5/32 (* (pow v 2) (pow (sqrt 2) 2))))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (+ (* 1/16 (pow (sqrt 2) 2)) (* (pow v 2) (- (* 25/64 (* (pow v 2) (pow (sqrt 2) 2))) (* -5/32 (pow (sqrt 2) 2)))))))
#s(approx (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))) #s(hole binary64 (* -5/32 (* (pow v 2) (pow (sqrt 2) 2)))))
#s(approx (+ (* (* v v) -5/8) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* v v) -5/8) 1/4) #s(hole binary64 (+ 1/4 (* -5/8 (pow v 2)))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* 2 (+ (* (* -3 v) v) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* (* -3 v) v) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 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 (* -3 v) #s(hole binary64 (* -3 v)))
#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 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5))))) (pow v 6))) (+ (* 1/4 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (pow v 2)))))))))
#s(approx (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) #s(hole binary64 (* -5/8 (sqrt 2))))
#s(approx (+ (* (/ (sqrt 2) (* v v)) 1/4) (* -5/8 (sqrt 2))) #s(hole binary64 (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))))
#s(approx (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) #s(hole binary64 (* (pow v 2) (- (+ (* -1 (/ (+ (* -1/10 (sqrt 2)) (* 1/10 (sqrt 2))) (pow v 4))) (* -5/8 (sqrt 2))) (* -1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (/ (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))))) #s(hole binary64 (* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (* 2/5 (/ (+ (* -1/10 (sqrt 2)) (* 1/10 (sqrt 2))) (pow v 6)))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (+ (* -1/10 (/ (sqrt 2) (pow v 4))) (* 1/10 (/ (sqrt 2) (pow v 4)))))))))
#s(approx (+ (pow (* (* (* v v) -5/8) (sqrt 2)) 3) (pow (* 1/4 (sqrt 2)) 3)) #s(hole binary64 (* (pow v 6) (+ (* -125/512 (pow (sqrt 2) 3)) (* 1/64 (/ (pow (sqrt 2) 3) (pow v 6)))))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (* 25/64 (* (pow v 4) (pow (sqrt 2) 2)))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (* (pow v 4) (+ (* 5/32 (/ (pow (sqrt 2) 2) (pow v 2))) (* 25/64 (pow (sqrt 2) 2))))))
#s(approx (+ (* (* (* (* v v) -5/8) (sqrt 2)) (* (* (* v v) -5/8) (sqrt 2))) (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2))))) #s(hole binary64 (* (pow v 4) (- (+ (* 1/16 (/ (pow (sqrt 2) 2) (pow v 4))) (* 25/64 (pow (sqrt 2) 2))) (* -5/32 (/ (pow (sqrt 2) 2) (pow v 2)))))))
#s(approx (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))) #s(hole binary64 (* 5/32 (* (pow v 2) (pow (sqrt 2) 2)))))
#s(approx (- (* (* 1/4 (sqrt 2)) (* 1/4 (sqrt 2))) (* (* (* (* v v) -5/8) (sqrt 2)) (* 1/4 (sqrt 2)))) #s(hole binary64 (* (pow v 2) (- (* 1/16 (/ (pow (sqrt 2) 2) (pow v 2))) (* -5/32 (pow (sqrt 2) 2))))))
#s(approx (+ (* (* v v) -5/8) 1/4) #s(hole binary64 (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (* 2 (+ (* (* -3 v) v) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* (* -3 v) v) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#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 (- 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 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (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 (/ (* (sqrt 2) (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5))))) (pow v 6))) (+ (* 1/4 (/ (* (sqrt 2) (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (pow v 4))) (* 1/4 (/ (* (sqrt 2) (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3))))) (pow v 2))))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (* 2 (+ (* (* -3 v) v) 1))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))

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

eval117.0ms (6.7%)

Memory: -16.9MiB live, 99.3MiB allocated; 121ms collecting garbage
Compiler: Compiled 14 455 to 1 366 computations (90.5% saved)

prune9.0ms (0.5%)

Memory

-21.7MiB live, 21.5MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	256	4	260
Fresh	0	0	0
Picked	3	1	4
Done	0	1	1
Total	259	6	265

Accuracy

100.0%

Counts

265 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) v) v) (.f64 (.f64 #s(literal -3 binary64) v) v)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal -3 binary64) v) v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
▶	100.0%	(/.f64 (.f64 (sqrt.f64 #s(approx ( 2 (+ (* (* -3 v) v) 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))
✓	99.1%	#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
▶	51.5%	#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ ( (* v v) -5/8) 1/4) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64)) (*.f64 v v)))))
✓	98.0%	#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))))
▶	51.5%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)) (.f64 v v) (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)))))

Compiler

Compiled 206 to 138 computations (33% saved)

series16.0ms (0.9%)

Memory

40.8MiB live, 40.8MiB allocated; 0ms collecting garbage

Counts

40 → 77

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (+ (* (/ (* 1/4 (sqrt 2)) (* v v)) (* v v)) (* (* -5/8 (sqrt 2)) (* v v))) (/ (* 1/4 (sqrt 2)) (* v v)) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* v v) v (* (* -5/8 (sqrt 2)) (* v v)) (* -5/8 (sqrt 2)) -5/8 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (* (- (/ 1/4 (* v v)) 5/8) (* v v)) (- (/ 1/4 (* v v)) 5/8) (/ 1/4 (* v v)) 5/8 (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)) 1 4 (/ (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) 4) (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1))) (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)) (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (* (* (* -3 v) v) (* (* -3 v) v)) (* (* -3 v) v) (* -3 v) -3 (- (* (* -3 v) v) 1))
4.0ms	v	@	-inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (+ (* (/ (* 1/4 (sqrt 2)) (* v v)) (* v v)) (* (* -5/8 (sqrt 2)) (* v v))) (/ (* 1/4 (sqrt 2)) (* v v)) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* v v) v (* (* -5/8 (sqrt 2)) (* v v)) (* -5/8 (sqrt 2)) -5/8 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (* (- (/ 1/4 (* v v)) 5/8) (* v v)) (- (/ 1/4 (* v v)) 5/8) (/ 1/4 (* v v)) 5/8 (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)) 1 4 (/ (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) 4) (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1))) (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)) (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (* (* (* -3 v) v) (* (* -3 v) v)) (* (* -3 v) v) (* -3 v) -3 (- (* (* -3 v) v) 1))
4.0ms	v	@	0	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (+ (* (/ (* 1/4 (sqrt 2)) (* v v)) (* v v)) (* (* -5/8 (sqrt 2)) (* v v))) (/ (* 1/4 (sqrt 2)) (* v v)) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* v v) v (* (* -5/8 (sqrt 2)) (* v v)) (* -5/8 (sqrt 2)) -5/8 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (* (- (/ 1/4 (* v v)) 5/8) (* v v)) (- (/ 1/4 (* v v)) 5/8) (/ 1/4 (* v v)) 5/8 (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)) 1 4 (/ (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) 4) (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1))) (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)) (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (* (* (* -3 v) v) (* (* -3 v) v)) (* (* -3 v) v) (* -3 v) -3 (- (* (* -3 v) v) 1))

Time

Variable

Point

Expression

5.0ms

inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (+ (* (/ (* 1/4 (sqrt 2)) (* v v)) (* v v)) (* (* -5/8 (sqrt 2)) (* v v))) (/ (* 1/4 (sqrt 2)) (* v v)) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* v v) v (* (* -5/8 (sqrt 2)) (* v v)) (* -5/8 (sqrt 2)) -5/8 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (* (- (/ 1/4 (* v v)) 5/8) (* v v)) (- (/ 1/4 (* v v)) 5/8) (/ 1/4 (* v v)) 5/8 (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)) 1 4 (/ (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) 4) (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1))) (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)) (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (* (* (* -3 v) v) (* (* -3 v) v)) (* (* -3 v) v) (* -3 v) -3 (- (* (* -3 v) v) 1))

4.0ms

-inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (+ (* (/ (* 1/4 (sqrt 2)) (* v v)) (* v v)) (* (* -5/8 (sqrt 2)) (* v v))) (/ (* 1/4 (sqrt 2)) (* v v)) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* v v) v (* (* -5/8 (sqrt 2)) (* v v)) (* -5/8 (sqrt 2)) -5/8 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (* (- (/ 1/4 (* v v)) 5/8) (* v v)) (- (/ 1/4 (* v v)) 5/8) (/ 1/4 (* v v)) 5/8 (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)) 1 4 (/ (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) 4) (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1))) (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)) (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (* (* (* -3 v) v) (* (* -3 v) v)) (* (* -3 v) v) (* -3 v) -3 (- (* (* -3 v) v) 1))

4.0ms

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (+ (* (/ (* 1/4 (sqrt 2)) (* v v)) (* v v)) (* (* -5/8 (sqrt 2)) (* v v))) (/ (* 1/4 (sqrt 2)) (* v v)) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* v v) v (* (* -5/8 (sqrt 2)) (* v v)) (* -5/8 (sqrt 2)) -5/8 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* (* v v) -5/8) 1/4)) (+ (* (* v v) -5/8) 1/4) (* (- (/ 1/4 (* v v)) 5/8) (* v v)) (- (/ 1/4 (* v v)) 5/8) (/ 1/4 (* v v)) 5/8 (/ (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* -3 v) v) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* -3 v) v) 1))) (* 2 (+ (* (* -3 v) v) 1)) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)) 1 4 (/ (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) 4) (* (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (- 1 (* v v))) (sqrt (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)))) (* 2 (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1))) (/ (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (- (* (* -3 v) v) 1)) (- (* (* (* -3 v) v) (* (* -3 v) v)) 1) (* (* (* -3 v) v) (* (* -3 v) v)) (* (* -3 v) v) (* -3 v) -3 (- (* (* -3 v) v) 1))

rewrite134.0ms (7.7%)

Memory

-13.4MiB live, 168.7MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	3292
0	440	2852
0	2233	2727

Stop Event

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

Counts

117 → 222

Calls

Call 1

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

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

eval24.0ms (1.4%)

Memory: 6.3MiB live, 52.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 289 to 1 184 computations (87.3% saved)

prune7.0ms (0.4%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	216	7	223

Accuracy

100.0%

Counts

223 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(approx (* (* (* -3 v) v) (* (* -3 v) v)) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal -3 binary64) v) v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
✓	100.0%	(/.f64 (.f64 (sqrt.f64 #s(approx ( 2 (+ (* (* -3 v) v) 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))
✓	99.1%	#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
✓	51.5%	#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ ( (* v v) -5/8) 1/4) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64)) (*.f64 v v)))))
	52.6%	#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ ( (* v v) -5/8) 1/4) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
✓	98.0%	#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))))
✓	51.5%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)) (.f64 v v) (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)))))

Compiler

Compiled 258 to 175 computations (32.2% saved)

regimes67.0ms (3.9%)

Memory

-2.4MiB live, 98.8MiB allocated; 24ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

6 → 1

14 → 1

17 → 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))))

Call 2

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

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

Call 3

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

Outputs
(/.f64 (.f64 (sqrt.f64 #s(approx ( 2 (+ (* (* -3 v) v) 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))

Call 4

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))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 #s(literal -5/8 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) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ ( (* v v) -5/8) 1/4) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ ( (* v v) -5/8) 1/4) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64)) (*.f64 v v)))))
(/.f64 (.f64 (sqrt.f64 #s(approx ( 2 (+ (* (* -3 v) v) 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))) #s(approx (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
(.f64 #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))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.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))) #s(approx (+ (* (* -5/8 (* v v)) (sqrt 2)) (* 1/4 (sqrt 2))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)) (.f64 v v) (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(approx (* (* (* -3 v) v) (* (* -3 v) v)) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal -3 binary64) v) v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) v) v) (.f64 (.f64 #s(literal -3 binary64) v) v)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal -3 binary64) v) v) #s(literal 1 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 (+.f64 (pow.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.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 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))))

Outputs
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(approx (* (* (* -3 v) v) (* (* -3 v) v)) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal -3 binary64) v) v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))

Outputs

(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(approx (* (* (* -3 v) v) (* (* -3 v) v)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 9 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) v) v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))

Calls

12 calls:

5.0ms	v
4.0ms	v
4.0ms	(*.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)))
3.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.0%	1	`(*.f64 v v)`
98.0%	1	`v`
98.0%	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)))`
99.1%	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)))`
99.1%	1	`(*.f64 v v)`
99.1%	1	`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	`(*.f64 v v)`
100.0%	1	`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	`(*.f64 v v)`
100.0%	1	`v`

Compiler

Compiled 675 to 209 computations (69% saved)

derivations33.0ms (1.9%)

Memory

-0.6MiB live, 46.6MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 120 to 59 computations (50.8% saved)

preprocess34.0ms (2%)

Memory: -17.5MiB live, 77.3MiB allocated; 7ms collecting garbage
Remove: (abs v)
Compiler: Compiled 379 to 241 computations (36.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.2%)

sample883.0ms (50.7%)

preprocess83.0ms (4.8%)

series8.0ms (0.4%)

rewrite59.0ms (3.4%)

eval8.0ms (0.4%)

prune5.0ms (0.3%)

series18.0ms (1%)

rewrite66.0ms (3.8%)

eval22.0ms (1.3%)

prune5.0ms (0.3%)

series39.0ms (2.2%)

rewrite101.0ms (5.8%)

eval117.0ms (6.7%)

prune9.0ms (0.5%)

series16.0ms (0.9%)

rewrite134.0ms (7.7%)

eval24.0ms (1.4%)

prune7.0ms (0.4%)

regimes67.0ms (3.9%)

derivations33.0ms (1.9%)

preprocess34.0ms (2%)

end0.0ms (0%)

Profiling