Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.8s (57.8%)

Memory

-140.2MiB live, 2 069.6MiB allocated; 1.6s collecting garbage

Samples

639.0ms	8 256×	0	valid
1.0ms	14×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-mult!: 180.0ms (48.7% of total)

ival-sqrt: 96.0ms (26% of total)

ival-sub!: 92.0ms (24.9% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess37.0ms (1.2%)

Memory

-28.0MiB live, 62.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	58
1	80	57
2	232	57
3	762	57
4	4118	57

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Symmetry

(abs v)

Compiler

Compiled 32 to 28 computations (12.5% saved)

series9.0ms (0.3%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

14 → 47

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
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)))) (- 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

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)))) (- 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)))

rewrite233.0ms (7.4%)

Memory

-10.1MiB live, 368.0MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1702
0	257	1513
1	1343	1445
0	8476	1345

Stop Event

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

Counts

61 → 150

Calls

Call 1

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

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v v))) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (neg.f64 (*.f64 v v)))) #s(literal 4 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) (.f64 (.f64 v v) (.f64 v v)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v))))) #s(literal 4 binary64)))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v v)))) (.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)))) (.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (neg.f64 (*.f64 v v))))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))))) (.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v)))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))) #s(literal -4 binary64))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
#s(literal 4 binary64)
(.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) v) v))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -27 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (*.f64 v v)))))))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)) #s(literal 1 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) v) v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 #s(literal 3 binary64) v) v))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) v) v))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -27 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (*.f64 v v)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 #s(literal 3 binary64) v) v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) v) v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -27 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (*.f64 v v))))))
(neg.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) v) v))))) (/.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.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) (.f64 (neg.f64 (.f64 v v)) #s(literal -3 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) v) v))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)))))) (/.f64 (.f64 #s(literal -27 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 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 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 v #s(literal 2 binary64))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 v) #s(literal 2 binary64))))
v
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 v)) (-.f64 #s(literal 1 binary64) (neg.f64 v)))
(*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 v)) (-.f64 #s(literal 1 binary64) (fabs.f64 v)))
(*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1 binary64) (.f64 v v)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (-.f64 (neg.f64 (.f64 v v)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/.f64 (fma.f64 (neg.f64 (.f64 v v)) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (.f64 v v) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) v)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v v)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (neg.f64 (*.f64 v v))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (neg.f64 (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) (.f64 (.f64 v v) (.f64 v v)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v))))))
(neg.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (neg.f64 (.f64 v v))))) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (neg.f64 (*.f64 v v))))))
(-.f64 (neg.f64 (*.f64 v v)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 v)) v))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v)))))) (/.f64 (.f64 (neg.f64 (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v)))))))
(+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 v v) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 v v) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/16 binary64)) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)))))) (.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (.f64 #s(literal -3/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 (.f64 #s(literal -9/32 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -27/64 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -9/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64)) (.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (.f64 v v) #s(literal -9/8 binary64)) (.f64 v v) #s(literal -3/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (- 1 (* 3 (* v v))) #s(literal 1 binary64))
#s(approx (- 1 (* 3 (* v v))) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (* 3 (* v v)) (.f64 (.f64 #s(literal 3 binary64) v) v))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (- 1 (* v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 #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 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)))) (.f64 (.f64 v v) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)))) (.f64 (.f64 v v) (.f64 v v)))) (.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 (*.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 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -3 binary64))) #s(literal 5 binary64) (.f64 (log.f64 v) #s(literal 6 binary64))))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 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 (sqrt.f64 #s(literal -3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -3 binary64))) #s(literal 5 binary64) (.f64 (log.f64 v) #s(literal 6 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 (.f64 (.f64 v v) (.f64 v v)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #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 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)))) (.f64 (.f64 v v) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)))) (.f64 (.f64 v v) (.f64 v v)))) (.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 (*.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 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -3 binary64))) #s(literal 5 binary64) (.f64 (log.f64 v) #s(literal 6 binary64))))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 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 (sqrt.f64 #s(literal -3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -3 binary64))) #s(literal 5 binary64) (.f64 (log.f64 v) #s(literal 6 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 (.f64 (.f64 v v) (.f64 v v)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) v)))

eval18.0ms (0.6%)

Memory: 9.9MiB live, 55.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 954 to 748 computations (61.7% saved)

prune5.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	5	158

Accuracy

100.0%

Counts

158 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	98.4%	(.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.3%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.6%	#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)))))
▶	99.2%	#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 194 to 182 computations (6.2% saved)

series51.0ms (1.6%)

Memory

-52.7MiB live, 57.8MiB allocated; 59ms collecting garbage

Counts

32 → 124

Calls

Call 1

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

Outputs
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (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)))))))))))
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#s(approx (* (/ (/ 2 (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/2 (/ (* v (sqrt -3)) (sqrt 2)))))
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#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
35.0ms	v	@	0	((* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (sqrt (* 2 (+ (* -3 (* v v)) 1))) (* 2 (+ (* -3 (* v v)) 1)) 2 (+ (* -3 (* v v)) 1) -3 (* v v) v 1 4 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 (* (* (/ (/ 2 (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (/ 2 (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (/ 2 (sqrt 2)) 4) (/ 2 (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) (* 3 (* v v)) 3)
5.0ms	v	@	inf	((* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (sqrt (* 2 (+ (* -3 (* v v)) 1))) (* 2 (+ (* -3 (* v v)) 1)) 2 (+ (* -3 (* v v)) 1) -3 (* v v) v 1 4 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 (* (* (/ (/ 2 (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (/ 2 (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (/ 2 (sqrt 2)) 4) (/ 2 (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) (* 3 (* v v)) 3)
3.0ms	v	@	-inf	((* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (sqrt (* 2 (+ (* -3 (* v v)) 1))) (* 2 (+ (* -3 (* v v)) 1)) 2 (+ (* -3 (* v v)) 1) -3 (* v v) v 1 4 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 (* (* (/ (/ 2 (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (/ 2 (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (/ 2 (sqrt 2)) 4) (/ 2 (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) (* 3 (* v v)) 3)

Time

Variable

Point

Expression

35.0ms

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

5.0ms

inf

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

3.0ms

-inf

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

rewrite179.0ms (5.7%)

Memory

36.7MiB live, 414.1MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	5022
0	540	4311
1	2617	4219
0	8208	4055

Stop Event

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

Counts

156 → 435

Calls

Call 1

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

eval58.0ms (1.8%)

Memory: -4.0MiB live, 187.5MiB allocated; 17ms collecting garbage
Compiler: Compiled 7 108 to 2 072 computations (70.8% saved)

prune12.0ms (0.4%)

Memory

-2.9MiB live, 42.8MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	493	6	499
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	497	7	504

Accuracy

100.0%

Counts

504 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (sqrt.f64 #s(approx ( 2 (+ (* -3 (* v v)) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	97.7%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
	98.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 v v)) #s(literal 5/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	98.1%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	97.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
▶	99.6%	#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)))
✓	99.2%	#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 296 to 279 computations (5.7% saved)

series12.0ms (0.4%)

Memory

-12.4MiB live, 32.0MiB allocated; 4ms collecting garbage

Counts

29 → 91

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	((* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (sqrt (* 2 (+ (* -3 (* v v)) 1))) (* 2 (+ (* -3 (* v v)) 1)) (+ (* -6 (* v v)) 2) -6 (* v v) v 2 4 (- 1 (* v v)) 1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ 1/2 (sqrt 2)) 1/2 (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) (+ (* -5/4 (* v v)) 1/2) -5/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 1/4)
3.0ms	v	@	0	((* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (sqrt (* 2 (+ (* -3 (* v v)) 1))) (* 2 (+ (* -3 (* v v)) 1)) (+ (* -6 (* v v)) 2) -6 (* v v) v 2 4 (- 1 (* v v)) 1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ 1/2 (sqrt 2)) 1/2 (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) (+ (* -5/4 (* v v)) 1/2) -5/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 1/4)
2.0ms	v	@	-inf	((* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (sqrt (* 2 (+ (* -3 (* v v)) 1))) (* 2 (+ (* -3 (* v v)) 1)) (+ (* -6 (* v v)) 2) -6 (* v v) v 2 4 (- 1 (* v v)) 1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ 1/2 (sqrt 2)) 1/2 (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) (+ (* -5/4 (* v v)) 1/2) -5/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 1/4)

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

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

2.0ms

-inf

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

rewrite164.0ms (5.2%)

Memory

16.1MiB live, 165.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	3549
0	370	3140
1	1702	3038
0	8647	2854

Stop Event

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

Counts

120 → 312

Calls

Call 1

Inputs
(.f64 (/.f64 (sqrt.f64 #s(approx ( 2 (+ (* -3 (* v v)) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (sqrt.f64 #s(approx (* 2 (+ (* -3 (* v v)) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
(sqrt.f64 #s(approx (* 2 (+ (* -3 (* v v)) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
v
#s(literal 2 binary64)
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64))
#s(literal -5/4 binary64)
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/.f64 #s(literal 1/2 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)))
(.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(literal 1/4 binary64)
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (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 (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) #s(hole binary64 (+ (* -5/4 (/ (pow v 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* -5/4 (* v v)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -5/4 (* v v)) 1/2) #s(hole binary64 (+ 1/2 (* -5/4 (pow v 2)))))
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#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (sqrt 2)))
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#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
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#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
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#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
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#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #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 (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) #s(hole binary64 (* -5/4 (/ (pow v 2) (sqrt 2)))))
#s(approx (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) #s(hole binary64 (* (pow v 2) (- (* 1/2 (/ 1 (* (pow v 2) (sqrt 2)))) (* 5/4 (/ 1 (sqrt 2)))))))
#s(approx (+ (* -5/4 (* v v)) 1/2) #s(hole binary64 (* -5/4 (pow v 2))))
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#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
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#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 (* (+ (* (* (* -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 (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
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#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
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#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
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Outputs
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#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (sqrt.f64 #s(literal -6 binary64))) v))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (sqrt.f64 #s(literal -6 binary64)))) v))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -3 binary64))) #s(literal 5 binary64) (.f64 (log.f64 v) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (sqrt.f64 #s(literal -6 binary64))))) v))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) (.f64 (.f64 v v) #s(literal -6 binary64)))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))
#s(approx (+ (* -6 (* v v)) 2) (.f64 (.f64 v v) #s(literal -6 binary64)))
#s(approx (+ (* -6 (* v v)) 2) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))
#s(approx (- 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 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 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 (+ (* -3 (* v v)) 1))) 4) (- 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 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 v v) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v)))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 v v) (.f64 v v)))) (.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 (*.f64 v v) v)))
#s(approx (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) (/.f64 (.f64 (.f64 v v) #s(literal -5/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 5/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v)))
#s(approx (+ (* -5/4 (* v v)) 1/2) (.f64 (.f64 v v) #s(literal -5/4 binary64)))
#s(approx (+ (* -5/4 (* v v)) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v v)) #s(literal 5/4 binary64)) (*.f64 v v)))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal 1/4 binary64)))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -3 binary64))) #s(literal 5 binary64) (.f64 (log.f64 v) #s(literal 6 binary64))))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (.f64 (.f64 #s(literal -5/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.f64 (.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (.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 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 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 (+ (* -3 (* v v)) 1))) 4) (- 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 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 v v) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 v v) (.f64 v v)))) (.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 (*.f64 v v) v))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -1/4 binary64)))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v)))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v)))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -3 binary64))) #s(literal 5 binary64) (.f64 (log.f64 v) #s(literal 6 binary64))))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (sqrt.f64 #s(literal -6 binary64)))) v)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -3 binary64))) #s(literal 5 binary64) (.f64 (log.f64 v) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (sqrt.f64 #s(literal -6 binary64))))) v)))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 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 (+ (* -3 (* v v)) 1))) 4) (- 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 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 v v) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (.f64 (*.f64 v v) v))))
#s(approx (* (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 v v) (.f64 v v)))) (.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 (*.f64 v v) v))))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -1/4 binary64)))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v)))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v)))
#s(approx (/ (sqrt (* 2 (+ (* -3 (* v v)) 1))) 4) (neg.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -3 binary64))) #s(literal 5 binary64) (.f64 (log.f64 v) #s(literal 6 binary64))))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v)))

eval39.0ms (1.2%)

Memory: 21.2MiB live, 65.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 854 to 1 537 computations (68.3% saved)

prune16.0ms (0.5%)

Memory

-37.8MiB live, 19.9MiB allocated; 8ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	388	1	389
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	389	7	396

Accuracy

100.0%

Counts

396 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (/.f64 (sqrt.f64 #s(approx ( 2 (+ (* -3 (* v v)) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	97.7%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	98.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 v v)) #s(literal 5/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	99.6%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	98.1%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	97.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	99.2%	#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 157 to 149 computations (5.1% saved)

series7.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

18 → 37

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (+ (* -5/4 (* v v)) 1/2) -5/4 (* v v) v 1/2 (/ 2 (sqrt 2)) 2 (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (* v v)) (/ 1/2 (sqrt 2))) (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (- (* 3/16 (* v v)) 5/4) (* 3/16 (* v v)) 3/16 5/4 (/ 1/2 (sqrt 2)))
2.0ms	v	@	0	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (+ (* -5/4 (* v v)) 1/2) -5/4 (* v v) v 1/2 (/ 2 (sqrt 2)) 2 (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (* v v)) (/ 1/2 (sqrt 2))) (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (- (* 3/16 (* v v)) 5/4) (* 3/16 (* v v)) 3/16 5/4 (/ 1/2 (sqrt 2)))
2.0ms	v	@	-inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (+ (* -5/4 (* v v)) 1/2) -5/4 (* v v) v 1/2 (/ 2 (sqrt 2)) 2 (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (* v v)) (/ 1/2 (sqrt 2))) (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (- (* 3/16 (* v v)) 5/4) (* 3/16 (* v v)) 3/16 5/4 (/ 1/2 (sqrt 2)))

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

rewrite180.0ms (5.7%)

Memory

2.0MiB live, 190.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1390
0	229	1231
1	1128	1137
0	9022	1081

Stop Event

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

Counts

55 → 232

Calls

Call 1

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

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 (*.f64 v v) #s(literal -5/4 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 25/16 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 v v) #s(literal -5/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -125/64 binary64)) (pow.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 25/16 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (*.f64 v v) #s(literal -5/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
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(/.f64 (neg.f64 (.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5/4 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 v v) #s(literal -5/4 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5/4 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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(-.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 27/4096 binary64)) (fma.f64 (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 9/256 binary64) (.f64 (/.f64 #s(literal 5/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 5/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 v v) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (.f64 (/.f64 #s(literal 25/16 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 5/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 9/256 binary64) (.f64 (/.f64 #s(literal 5/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 5/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 v v) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 v v) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 5/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (.f64 v v) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -5/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/256 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -25/16 binary64))) (neg.f64 (fma.f64 (.f64 v v) #s(literal 3/16 binary64) #s(literal 5/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/4096 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v)) #s(literal -125/64 binary64))) (neg.f64 (fma.f64 #s(literal 9/256 binary64) (.f64 (.f64 (.f64 v v) v) v) (+.f64 #s(literal 25/16 binary64) (.f64 (.f64 (*.f64 v v) #s(literal 3/16 binary64)) #s(literal 5/4 binary64))))))
(/.f64 (fma.f64 #s(literal 9/256 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -25/16 binary64)) (fma.f64 (.f64 v v) #s(literal 3/16 binary64) #s(literal 5/4 binary64)))
(/.f64 (fma.f64 #s(literal 27/4096 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v)) #s(literal -125/64 binary64)) (fma.f64 #s(literal 9/256 binary64) (.f64 (.f64 (.f64 v v) v) v) (-.f64 #s(literal 25/16 binary64) (.f64 (.f64 (*.f64 v v) #s(literal 3/16 binary64)) #s(literal -5/4 binary64)))))
(/.f64 (fma.f64 #s(literal 27/4096 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v)) #s(literal -125/64 binary64)) (fma.f64 #s(literal 9/256 binary64) (.f64 (.f64 (.f64 v v) v) v) (+.f64 #s(literal 25/16 binary64) (.f64 (.f64 (*.f64 v v) #s(literal 3/16 binary64)) #s(literal 5/4 binary64)))))
(neg.f64 (-.f64 #s(literal 5/4 binary64) (.f64 (.f64 v v) #s(literal 3/16 binary64))))
(fma.f64 (*.f64 #s(literal 3/16 binary64) (neg.f64 v)) (neg.f64 v) #s(literal -5/4 binary64))
(fma.f64 (*.f64 #s(literal 3/16 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal -5/4 binary64))
(fma.f64 (*.f64 #s(literal 3/16 binary64) v) v #s(literal -5/4 binary64))
(fma.f64 (.f64 (.f64 v v) #s(literal 3/16 binary64)) #s(literal 1 binary64) #s(literal -5/4 binary64))
(fma.f64 (*.f64 v v) #s(literal 3/16 binary64) #s(literal -5/4 binary64))
(fma.f64 #s(literal 3/16 binary64) (*.f64 v v) #s(literal -5/4 binary64))
(-.f64 (/.f64 (.f64 #s(literal 9/256 binary64) (.f64 (.f64 (.f64 v v) v) v)) (fma.f64 (.f64 v v) #s(literal 3/16 binary64) #s(literal 5/4 binary64))) (/.f64 #s(literal 25/16 binary64) (fma.f64 (.f64 v v) #s(literal 3/16 binary64) #s(literal 5/4 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 27/4096 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v))) (fma.f64 #s(literal 9/256 binary64) (.f64 (.f64 (.f64 v v) v) v) (+.f64 #s(literal 25/16 binary64) (.f64 (.f64 (.f64 v v) #s(literal 3/16 binary64)) #s(literal 5/4 binary64))))) (/.f64 #s(literal 125/64 binary64) (fma.f64 #s(literal 9/256 binary64) (.f64 (.f64 (.f64 v v) v) v) (+.f64 #s(literal 25/16 binary64) (.f64 (.f64 (.f64 v v) #s(literal 3/16 binary64)) #s(literal 5/4 binary64))))))
(-.f64 (.f64 (.f64 v v) #s(literal 3/16 binary64)) #s(literal 5/4 binary64))
(+.f64 (.f64 (.f64 v v) #s(literal 3/16 binary64)) #s(literal -5/4 binary64))
(.f64 (.f64 #s(literal 3/16 binary64) (neg.f64 v)) (neg.f64 v))
(.f64 (.f64 #s(literal 3/16 binary64) (fabs.f64 v)) (fabs.f64 v))
(.f64 (.f64 #s(literal 3/16 binary64) v) v)
(.f64 (.f64 (*.f64 v v) #s(literal 3/16 binary64)) #s(literal 1 binary64))
(.f64 (.f64 v v) #s(literal 3/16 binary64))
(.f64 #s(literal 3/16 binary64) (.f64 v v))
#s(literal 3/16 binary64)
#s(literal 5/4 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (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))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) v) v (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) v) v))) v) v (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/16 binary64)) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) #s(literal 1/4 binary64))) (.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64))))
#s(approx (+ (* -5/4 (* v v)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -5/4 (* v v)) 1/2) (fma.f64 (*.f64 v v) #s(literal -5/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (+ (* (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (* v v)) (/ 1/2 (sqrt 2))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (* v v)) (/ 1/2 (sqrt 2))) (/.f64 (fma.f64 (*.f64 v v) #s(literal -5/4 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (* v v)) (/ 1/2 (sqrt 2))) (/.f64 (fma.f64 (fma.f64 (.f64 v v) #s(literal 3/16 binary64) #s(literal -5/4 binary64)) (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (/.f64 #s(literal -5/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (/.f64 (fma.f64 (*.f64 v v) #s(literal 3/16 binary64) #s(literal -5/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (- (* 3/16 (* v v)) 5/4) #s(literal -5/4 binary64))
#s(approx (- (* 3/16 (* v v)) 5/4) (fma.f64 (*.f64 v v) #s(literal 3/16 binary64) #s(literal -5/4 binary64)))
#s(approx (* 3/16 (* v v)) (.f64 (.f64 v v) #s(literal 3/16 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) v) (.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)))) (.f64 (*.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 v v) v) v)) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))))) (.f64 (*.f64 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 (sqrt.f64 #s(literal -6 binary64)) (/.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 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 v v) v) v)) (/.f64 (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v)))))) (.f64 (*.f64 v v) v)))
#s(approx (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (.f64 (.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
#s(approx (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v))
#s(approx (+ (* -5/4 (* v v)) 1/2) (.f64 (.f64 v v) #s(literal -5/4 binary64)))
#s(approx (+ (* -5/4 (* v v)) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) #s(literal 5/4 binary64)) v) v))
#s(approx (+ (* (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (* v v)) (/ 1/2 (sqrt 2))) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 (.f64 (.f64 v v) v) v)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (* v v)) (/ 1/2 (sqrt 2))) (.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 5/4 binary64) (.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 v v)))
#s(approx (+ (* (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (* v v)) (/ 1/2 (sqrt 2))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 5/4 binary64) (.f64 v v)) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 v v) v) v)))
#s(approx (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (/.f64 (.f64 (.f64 v v) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (* 3/16 (* v v)) 5/4) (sqrt 2)) (.f64 (.f64 (/.f64 (-.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 5/4 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) v) v))
#s(approx (- (* 3/16 (* v v)) 5/4) (.f64 (.f64 v v) #s(literal 3/16 binary64)))
#s(approx (- (* 3/16 (* v v)) 5/4) (.f64 (.f64 (-.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 5/4 binary64) (*.f64 v v))) v) v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 (.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (neg.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))))) (.f64 (*.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (neg.f64 (.f64 (.f64 v v) v)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 v v) v) v)) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.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(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 #s(literal -1/4 binary64) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.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 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 v v) v) v)) (/.f64 (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v)))))) (neg.f64 (.f64 (*.f64 v v) v))))

eval29.0ms (0.9%)

Memory: -0.6MiB live, 45.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 139 to 1 116 computations (64.4% saved)

prune9.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	258	2	260
Fresh	0	0	0
Picked	2	0	2
Done	1	4	5
Total	261	6	267

Accuracy

100.0%

Counts

267 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (/.f64 (sqrt.f64 #s(approx ( 2 (+ (* -3 (* v v)) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
	98.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 (fma.f64 (.f64 v v) #s(literal 3/16 binary64) #s(literal -5/4 binary64)) (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	98.1%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	97.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	99.2%	#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))))
	99.6%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)))))

Compiler

Compiled 338 to 228 computations (32.5% saved)

regimes11.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms

3.0ms

(*.f64 v v)

3.0ms

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

Results

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes24.0ms (0.7%)

Memory

-36.1MiB live, 11.0MiB allocated; 2ms 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))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 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))) (.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))) (/.f64 (fma.f64 (fma.f64 (.f64 v v) #s(literal 3/16 binary64) #s(literal -5/4 binary64)) (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))

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

Outputs

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

Calls

3 calls:

18.0ms

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
99.6%	1	`(*.f64 v v)`
99.6%	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)))`
99.6%	1	`v`

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes6.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

7 → 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))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))

Outputs

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (+ (* -5/4 (* v v)) 1/2) (/ 2 (sqrt 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #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
99.6%	1	`(*.f64 v v)`
99.6%	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)))`
99.6%	1	`v`

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Accuracy

Total -1.0b remaining (-198.4%)

Threshold costs -1b (-198.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 #s(literal 1/2 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
99.2%	1	`(*.f64 v v)`
99.2%	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)))`
99.2%	1	`v`

Compiler

Compiled 19 to 17 computations (10.5% saved)

derivations200.0ms (6.3%)

Memory

-0.9MiB live, 144.0MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 80 to 50 computations (37.5% saved)

preprocess29.0ms (0.9%)

Memory: 9.9MiB live, 56.5MiB allocated; 3ms collecting garbage
Remove: (abs v)
Compiler: Compiled 290 to 244 computations (15.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.8s (57.8%)

preprocess37.0ms (1.2%)

series9.0ms (0.3%)

rewrite233.0ms (7.4%)

eval18.0ms (0.6%)

prune5.0ms (0.2%)

series51.0ms (1.6%)

rewrite179.0ms (5.7%)

eval58.0ms (1.8%)

prune12.0ms (0.4%)

series12.0ms (0.4%)

rewrite164.0ms (5.2%)

eval39.0ms (1.2%)

prune16.0ms (0.5%)

series7.0ms (0.2%)

rewrite180.0ms (5.7%)

eval29.0ms (0.9%)

prune9.0ms (0.3%)

regimes11.0ms (0.3%)

regimes24.0ms (0.7%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

derivations200.0ms (6.3%)

preprocess29.0ms (0.9%)

end0.0ms (0%)

Profiling