Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

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

analyze12.0ms (0.8%)

Memory

-34.7MiB live, 8.0MiB allocated; 11ms 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)

sample744.0ms (45.8%)

Memory

34.0MiB live, 1 113.9MiB allocated; 245ms collecting garbage

Samples

531.0ms	8 256×	0	valid
4.0ms	14×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 334.0ms

ival-mult!: 211.0ms (63.2% of total)

ival-sqrt: 82.0ms (24.5% of total)

ival-sub!: 39.0ms (11.7% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess43.0ms (2.6%)

Memory

-5.1MiB live, 44.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	58
1	97	54
2	319	54
3	1245	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Symmetry

(abs v)

Compiler

Compiled 32 to 28 computations (12.5% saved)

series8.0ms (0.5%)

Memory

11.9MiB live, 11.9MiB 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 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -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 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

rewrite97.0ms (6%)

Memory

9.6MiB live, 69.1MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	1668
0	254	1479
0	1465	1379
1	4224	1379

Stop Event

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

Counts

58 → 92

Calls

Call 1

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

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

eval7.0ms (0.5%)

Memory: 12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 134 to 410 computations (63.8% saved)

prune12.0ms (0.8%)

Memory

-38.8MiB live, 8.0MiB allocated; 8ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Accuracy

100.0%

Counts

83 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (.f64 v v) #s(literal -9/8 binary64)) (.f64 v v) #s(literal -3/2 binary64)) (.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.9%	(.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)))
▶	99.6%	(.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)))
▶	99.9%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v)))))
▶	99.5%	#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 252 to 230 computations (8.7% saved)

series10.0ms (0.6%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

33 → 63

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	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)))) (+ (* (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (* v v)) 1) (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (+ (* -27/16 (* v v)) -9/8) -27/16 (* v v) v -9/8 -3/2 1 (- 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 (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 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))
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)))) (+ (* (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (* v v)) 1) (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (+ (* -27/16 (* v v)) -9/8) -27/16 (* v v) v -9/8 -3/2 1 (- 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 (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 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))
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)))) (+ (* (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (* v v)) 1) (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (+ (* -27/16 (* v v)) -9/8) -27/16 (* v v) v -9/8 -3/2 1 (- 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 (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 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))

Time

Variable

Point

Expression

4.0ms

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)))) (+ (* (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (* v v)) 1) (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (+ (* -27/16 (* v v)) -9/8) -27/16 (* v v) v -9/8 -3/2 1 (- 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 (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 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))

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)))) (+ (* (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (* v v)) 1) (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (+ (* -27/16 (* v v)) -9/8) -27/16 (* v v) v -9/8 -3/2 1 (- 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 (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 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))

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)))) (+ (* (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (* v v)) 1) (+ (* (+ (* -27/16 (* v v)) -9/8) (* v v)) -3/2) (+ (* -27/16 (* v v)) -9/8) -27/16 (* v v) v -9/8 -3/2 1 (- 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 (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 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))

rewrite91.0ms (5.6%)

Memory

0.8MiB live, 90.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	2411
0	359	2196
0	1966	2120
1	5467	2120

Stop Event

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

Counts

96 → 189

Calls

Call 1

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

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

eval31.0ms (1.9%)

Memory: -8.8MiB live, 45.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 2 469 to 902 computations (63.5% saved)

prune7.0ms (0.4%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	218	4	222
Fresh	0	1	1
Picked	4	1	5
Done	0	0	0
Total	222	6	228

Accuracy

100.0%

Counts

228 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
▶	99.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))))
▶	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(approx (sqrt (- 1 ( 3 (* v v)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 v v) #s(literal -27/16 binary64) #s(literal -9/8 binary64)) (.f64 v v) #s(literal -3/2 binary64)) v) v #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	99.9%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓	99.5%	#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))))
▶	50.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) ( (* (sqrt 2) -5/2) (* v v))) (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) (*.f64 v v)))))

Compiler

Compiled 254 to 231 computations (9.1% saved)

series12.0ms (0.7%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

38 → 76

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	((* (- 1 (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2)))) (- 1 (* v v)) 1 (* v v) v (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))) (+ (* (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) v) 1) (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) (+ (* (* v v) -27/16) -9/8) -27/16 -9/8 -3/2 (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (/ (sqrt 2) (* v v)) (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1)))) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)
3.0ms	v	@	-inf	((* (- 1 (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2)))) (- 1 (* v v)) 1 (* v v) v (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))) (+ (* (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) v) 1) (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) (+ (* (* v v) -27/16) -9/8) -27/16 -9/8 -3/2 (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (/ (sqrt 2) (* v v)) (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1)))) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)
3.0ms	v	@	0	((* (- 1 (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2)))) (- 1 (* v v)) 1 (* v v) v (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))) (+ (* (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) v) 1) (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) (+ (* (* v v) -27/16) -9/8) -27/16 -9/8 -3/2 (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (/ (sqrt 2) (* v v)) (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1)))) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)

Time

Variable

Point

Expression

3.0ms

inf

((* (- 1 (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2)))) (- 1 (* v v)) 1 (* v v) v (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))) (+ (* (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) v) 1) (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) (+ (* (* v v) -27/16) -9/8) -27/16 -9/8 -3/2 (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (/ (sqrt 2) (* v v)) (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1)))) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)

3.0ms

-inf

((* (- 1 (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2)))) (- 1 (* v v)) 1 (* v v) v (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))) (+ (* (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) v) 1) (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) (+ (* (* v v) -27/16) -9/8) -27/16 -9/8 -3/2 (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (/ (sqrt 2) (* v v)) (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1)))) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)

3.0ms

((* (- 1 (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2)))) (- 1 (* v v)) 1 (* v v) v (* (sqrt (- 1 (* 3 (* v v)))) (* 1/4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))) (+ (* (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) v) 1) (* (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) v) (+ (* (+ (* (* v v) -27/16) -9/8) (* v v)) -3/2) (+ (* (* v v) -27/16) -9/8) -27/16 -9/8 -3/2 (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (* v v)) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (/ (sqrt 2) (* v v)) (* (- 1 (* v v)) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1)))) (* (* 1/4 (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3)

rewrite103.0ms (6.4%)

Memory

5.4MiB live, 139.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	2786
0	418	2512
0	2121	2441
1	5791	2441

Stop Event

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

Counts

114 → 236

Calls

Call 1

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

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

eval34.0ms (2.1%)

Memory: -29.1MiB live, 71.3MiB allocated; 17ms collecting garbage
Compiler: Compiled 3 036 to 1 185 computations (61% saved)

prune6.0ms (0.4%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	265	3	268
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	268	6	274

Accuracy

100.0%

Counts

274 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))))
▶	100.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
▶	100.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓	99.9%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
▶	52.0%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(approx (+ ( (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)) #s(literal 1/4 binary64)))
✓	99.5%	#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 125 to 116 computations (7.2% saved)

series14.0ms (0.8%)

Memory

-23.3MiB live, 21.9MiB allocated; 7ms collecting garbage

Counts

23 → 62

Calls

Call 1

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

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) #s(hole binary64 (/ (sqrt 2) v)))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) #s(hole binary64 (/ (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2)))) v)))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (/ (sqrt 2) (pow v 2))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (/ (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2)))) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 1))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ 1 (* -5/2 (pow v 2)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* (- 1 (* v v)) (* (sqrt 2) 1/4)) #s(hole binary64 (+ (* -1/4 (* (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 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) #s(hole binary64 (* -5/2 (* v (sqrt 2)))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) #s(hole binary64 (* v (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (* -5/2 (sqrt 2))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -3)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -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 (+ (* (* v v) -3) 1)) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* v v) -3) 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 (+ (* (* v v) -3) 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 (+ (* (* v v) -3) 1) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (* (- 1 (* v v)) (* (sqrt 2) 1/4)) #s(hole binary64 (* -1/4 (* (pow v 2) (sqrt 2)))))
#s(approx (* (- 1 (* v v)) (* (sqrt 2) 1/4)) #s(hole binary64 (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (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 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) #s(hole binary64 (* -1 (* v (+ (* -1 (/ (sqrt 2) (pow v 2))) (* 5/2 (sqrt 2)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (pow v 3) (sqrt -3))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* v v) -3) 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 (+ (* (* v v) -3) 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
7.0ms	v	@	-inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) v) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) -5/2 (sqrt 2) 2 (/ (sqrt 2) (* v v)) (* v v) v 1/4 (* (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (* (sqrt 2) 1/4)) (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v)) 1 (sqrt (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (* (sqrt 2) 1/4) (* (* (- 1 (* v v)) (* (sqrt 2) 1/4)) (sqrt (+ (* (* v v) -3) 1))) (* (- 1 (* v v)) (* (sqrt 2) 1/4)))
3.0ms	v	@	inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) v) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) -5/2 (sqrt 2) 2 (/ (sqrt 2) (* v v)) (* v v) v 1/4 (* (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (* (sqrt 2) 1/4)) (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v)) 1 (sqrt (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (* (sqrt 2) 1/4) (* (* (- 1 (* v v)) (* (sqrt 2) 1/4)) (sqrt (+ (* (* v v) -3) 1))) (* (- 1 (* v v)) (* (sqrt 2) 1/4)))
2.0ms	v	@	0	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) v) (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) -5/2 (sqrt 2) 2 (/ (sqrt 2) (* v v)) (* v v) v 1/4 (* (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (* (sqrt 2) 1/4)) (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v)) 1 (sqrt (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (* (sqrt 2) 1/4) (* (* (- 1 (* v v)) (* (sqrt 2) 1/4)) (sqrt (+ (* (* v v) -3) 1))) (* (- 1 (* v v)) (* (sqrt 2) 1/4)))

Time

Variable

Point

Expression

7.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite124.0ms (7.6%)

Memory

24.2MiB live, 118.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	2293
0	346	2074
0	1893	2004
1	5326	2004

Stop Event

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

Counts

85 → 165

Calls

Call 1

Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(approx (+ ( (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)) #s(literal 1/4 binary64)))
(.f64 #s(approx (+ ( (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)) #s(literal 1/4 binary64))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v))
(.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)
(.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) v)
(fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
#s(literal -5/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(*.f64 v v)
v
#s(literal 1/4 binary64)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 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 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) #s(hole binary64 (/ (sqrt 2) v)))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) #s(hole binary64 (/ (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2)))) v)))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (/ (sqrt 2) (pow v 2))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (/ (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2)))) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 1))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ 1 (* -5/2 (pow v 2)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* (- 1 (* v v)) (* (sqrt 2) 1/4)) #s(hole binary64 (+ (* -1/4 (* (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 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) #s(hole binary64 (* -5/2 (* v (sqrt 2)))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) #s(hole binary64 (* v (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (* -5/2 (sqrt 2))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) #s(hole binary64 (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -3)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -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 (+ (* (* v v) -3) 1)) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* v v) -3) 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 (+ (* (* v v) -3) 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 (+ (* (* v v) -3) 1) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (* (- 1 (* v v)) (* (sqrt 2) 1/4)) #s(hole binary64 (* -1/4 (* (pow v 2) (sqrt 2)))))
#s(approx (* (- 1 (* v v)) (* (sqrt 2) 1/4)) #s(hole binary64 (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (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 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) #s(hole binary64 (* -1 (* v (+ (* -1 (/ (sqrt 2) (pow v 2))) (* 5/2 (sqrt 2)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (pow v 3) (sqrt -3))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* v v) -3) 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 (+ (* (* v v) -3) 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
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(approx (+ ( (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)) #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) #s(approx (+ ( (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)))
(.f64 #s(approx (+ ( (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)) #s(literal 1/4 binary64))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v))
(.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)
(.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) (*.f64 v v))
(.f64 (.f64 v v) (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
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(fma.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (*.f64 v v)))
(fma.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (.f64 (.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (*.f64 v v)))
(fma.f64 v (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (.f64 (.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
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(+.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))))
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(.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) v)
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(fma.f64 (.f64 #s(literal -5/2 binary64) v) (sqrt.f64 #s(literal 2 binary64)) (.f64 v (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
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(fma.f64 (.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/2 binary64) (.f64 v (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/2 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) v))
(fma.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v (.f64 v (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) v))
(fma.f64 #s(literal -5/2 binary64) (.f64 v (sqrt.f64 #s(literal 2 binary64))) (.f64 v (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 #s(literal -5/2 binary64) (.f64 v (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) v))
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(fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
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(-.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)))
(+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)))
#s(literal -5/2 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 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))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 v #s(literal 2 binary64))
(fabs.f64 (*.f64 v v))
v
#s(literal 1/4 binary64)
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(neg.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
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(neg.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 1 binary64)))
(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))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal -1 binary64))
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(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))
#s(literal -3 binary64)
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
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(.f64 (-.f64 #s(literal 1 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))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (fma.f64 (.f64 (.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v))
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#s(approx (* v v) (*.f64 v v))
#s(approx v v)
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#s(approx (sqrt (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64)) (.f64 v v) #s(literal 1 binary64)))
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#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (pow.f64 v #s(literal 4 binary64))))))) (.f64 (*.f64 v v) v)))
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#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))) v))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (neg.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (*.f64 v v) v))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))) (.f64 (.f64 v v) v)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))) (.f64 (.f64 v v) v)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (/.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 1/16 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))))) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))) (.f64 (.f64 v 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 (+ (* (* v v) -3) 1)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (.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 (+ (* (* v v) -3) 1)) (.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 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v))
#s(approx (+ (* (* v v) -3) 1) (.f64 (.f64 v v) #s(literal -3 binary64)))
#s(approx (+ (* (* v v) -3) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 3 binary64)) (*.f64 v v)))
#s(approx (* (- 1 (* v v)) (* (sqrt 2) 1/4)) (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (- 1 (* v v)) (* (sqrt 2) 1/4)) (.f64 (.f64 v v) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal 1/4 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))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (pow.f64 v #s(literal 4 binary64))))))) (.f64 (*.f64 v v) v))))
#s(approx (* (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (* v v))) v) (neg.f64 (.f64 (fma.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 v v))) v)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (*.f64 v v) v)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))) (.f64 (.f64 v v) v))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (neg.f64 (.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))) (.f64 (.f64 v v) v))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (neg.f64 (.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (/.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 1/16 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))))) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))) (.f64 (.f64 v v) v))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)))
#s(approx (sqrt (+ (* (* v v) -3) 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 (+ (* (* v v) -3) 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 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v)))
#s(approx (sqrt (+ (* (* v v) -3) 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 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (.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: -4.1MiB live, 40.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 393 to 841 computations (64.9% saved)

prune9.0ms (0.5%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	192	3	195
Fresh	0	0	0
Picked	1	2	3
Done	2	1	3
Total	195	6	201

Accuracy

100.0%

Counts

201 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
	100.0%	(.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
	100.0%	(.f64 #s(approx ( (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64)) (.f64 v v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
	99.9%	(.f64 #s(approx ( (- 1 (* v v)) (sqrt (+ (* (* v v) -3) 1))) (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓	52.0%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(approx (+ ( (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) v) v)) #s(literal 1/4 binary64)))
✓	99.5%	#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 362 to 229 computations (36.7% saved)

regimes16.0ms (1%)

Memory

-18.9MiB live, 26.0MiB allocated; 6ms collecting garbage

Counts

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

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

Outputs

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

Calls

3 calls:

8.0ms

3.0ms

(*.f64 v v)

3.0ms

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

Results

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes9.0ms (0.6%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Outputs

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

Calls

3 calls:

3.0ms

(*.f64 v v)

3.0ms

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

Results

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes11.0ms (0.7%)

Memory

-28.7MiB live, 16.5MiB allocated; 4ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms

(*.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

2.0ms

(*.f64 v v)

Results

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes6.0ms (0.4%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

2.0ms

(*.f64 v v)

2.0ms

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

Results

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes3.0ms (0.2%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms

(*.f64 v v)

1.0ms

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

Results

Accuracy	Segments	Branch
99.5%	1	`(*.f64 v v)`
99.5%	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)))`
99.5%	1	`v`

Compiler

Compiled 19 to 17 computations (10.5% saved)

derivations40.0ms (2.4%)

Memory

-17.7MiB live, 44.8MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 69 to 45 computations (34.8% saved)

preprocess152.0ms (9.4%)

Memory: -2.4MiB live, 90.5MiB allocated; 7ms collecting garbage
Remove: (abs v)
Compiler: Compiled 267 to 229 computations (14.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze12.0ms (0.8%)

sample744.0ms (45.8%)

preprocess43.0ms (2.6%)

series8.0ms (0.5%)

rewrite97.0ms (6%)

eval7.0ms (0.5%)

prune12.0ms (0.8%)

series10.0ms (0.6%)

rewrite91.0ms (5.6%)

eval31.0ms (1.9%)

prune7.0ms (0.4%)

series12.0ms (0.7%)

rewrite103.0ms (6.4%)

eval34.0ms (2.1%)

prune6.0ms (0.4%)

series14.0ms (0.8%)

rewrite124.0ms (7.6%)

eval22.0ms (1.3%)

prune9.0ms (0.5%)

regimes16.0ms (1%)

regimes9.0ms (0.6%)

regimes11.0ms (0.7%)

regimes6.0ms (0.4%)

regimes3.0ms (0.2%)

derivations40.0ms (2.4%)

preprocess152.0ms (9.4%)

end0.0ms (0%)

Profiling