Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB 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)

sample1.3s (60.9%)

Memory

-89.8MiB live, 1 461.9MiB allocated; 1.2s collecting garbage

Samples

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

Precisions

Click to see histograms. Total time spent on operations: 799.0ms

ival-sqrt: 534.0ms (66.9% of total)

ival-mult!: 203.0ms (25.4% of total)

ival-sub!: 60.0ms (7.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess41.0ms (1.9%)

Memory

4.5MiB live, 50.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Symmetry

(abs v)

Compiler

Compiled 32 to 28 computations (12.5% saved)

series8.0ms (0.4%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

14 → 44

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

rewrite83.0ms (3.9%)

Memory

23.0MiB live, 113.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	1668
0	254	1479
0	1535	1379
1	4166	1379

Stop Event

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

Counts

58 → 101

Calls

Call 1

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

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

eval25.0ms (1.2%)

Memory: -5.3MiB live, 43.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 1 246 to 469 computations (62.4% saved)

prune8.0ms (0.4%)

Memory

-32.2MiB live, 13.7MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	5	92

Accuracy

100.0%

Counts

92 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
▶	99.2%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	100.0%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	99.5%	#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 184 to 172 computations (6.5% saved)

series10.0ms (0.5%)

Memory

28.9MiB live, 28.9MiB allocated; 0ms collecting garbage

Counts

27 → 61

Calls

Call 1

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

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

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite134.0ms (6.3%)

Memory

33.8MiB live, 196.9MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	2465
0	374	2215
0	2175	2132
1	5807	2132

Stop Event

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

Counts

88 → 190

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))))
(.f64 (.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 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
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eval78.0ms (3.7%)

Memory: 19.4MiB live, 90.8MiB allocated; 40ms collecting garbage
Compiler: Compiled 3 086 to 960 computations (68.9% saved)

prune45.0ms (2.1%)

Memory

-66.6MiB live, 20.2MiB allocated; 66ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	262	4	266
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	265	6	271

Accuracy

100.0%

Counts

271 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
▶	100.0%	(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
▶	99.5%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (sqrt (+ ( -3 (* v v)) 1)) (fma.f64 #s(literal -3/2 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
▶	99.6%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64)) (.f64 v v) #s(literal 1 binary64))))
▶	99.5%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 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 111 to 105 computations (5.4% saved)

series8.0ms (0.4%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Counts

29 → 55

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	((* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) (* v v) v -5/2 1 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (+ (* 3/8 (* v v)) -5/2) (* v v)) 1) (+ (* 3/8 (* v v)) -5/2) 3/8 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3/2 (* v v)) 1) -3/2 (- 1 (* v v)) (* (* (sqrt (+ (* (* -3 v) v) 1)) (- 1 (* v v))) (* (sqrt 2) 1/4)) (* (sqrt (+ (* (* -3 v) v) 1)) (- 1 (* v v))) (sqrt (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v) -3 (* (sqrt 2) 1/4))
2.0ms	v	@	-inf	((* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) (* v v) v -5/2 1 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (+ (* 3/8 (* v v)) -5/2) (* v v)) 1) (+ (* 3/8 (* v v)) -5/2) 3/8 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3/2 (* v v)) 1) -3/2 (- 1 (* v v)) (* (* (sqrt (+ (* (* -3 v) v) 1)) (- 1 (* v v))) (* (sqrt 2) 1/4)) (* (sqrt (+ (* (* -3 v) v) 1)) (- 1 (* v v))) (sqrt (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v) -3 (* (sqrt 2) 1/4))
2.0ms	v	@	0	((* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) (* v v) v -5/2 1 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (+ (* 3/8 (* v v)) -5/2) (* v v)) 1) (+ (* 3/8 (* v v)) -5/2) 3/8 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3/2 (* v v)) 1) -3/2 (- 1 (* v v)) (* (* (sqrt (+ (* (* -3 v) v) 1)) (- 1 (* v v))) (* (sqrt 2) 1/4)) (* (sqrt (+ (* (* -3 v) v) 1)) (- 1 (* v v))) (sqrt (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v) -3 (* (sqrt 2) 1/4))

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite89.0ms (4.2%)

Memory

-20.2MiB live, 121.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	2109
0	324	1849
0	1883	1798
1	4849	1798

Stop Event

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

Counts

84 → 178

Calls

Call 1

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

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

eval28.0ms (1.3%)

Memory: 9.0MiB live, 57.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 315 to 873 computations (62.3% saved)

prune5.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	199	4	203
Fresh	0	0	0
Picked	3	1	4
Done	0	2	2
Total	202	7	209

Accuracy

100.0%

Counts

209 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
▶	100.0%	(.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v #s(literal -3 binary64)) v #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
✓	99.5%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))))
▶	21.4%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) #s(approx (+ (* (+ (* 3/8 (* v v)) -5/2) (* v v)) 1) (.f64 (-.f64 (+.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 3/8 binary64)) (/.f64 #s(literal 5/2 binary64) (.f64 v v))) (pow.f64 v #s(literal 4 binary64))))))
▶	45.1%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) #s(approx (+ (* (* v v) -5/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 5/2 binary64)) (*.f64 v v)))))
▶	99.6%	(.f64 #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (fma.f64 (.f64 v v) #s(literal 3/8 binary64) #s(literal -5/2 binary64)) (.f64 v v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓	99.2%	#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 155 to 144 computations (7.1% saved)

series14.0ms (0.6%)

Memory

-13.9MiB live, 32.4MiB allocated; 3ms collecting garbage

Counts

40 → 78

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	v	@	-inf	((* (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (* (sqrt 2) 1/4)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (+ (* (* v v) 3/8) -5/2) (* v v)) 1) (+ (* (* v v) 3/8) -5/2) (* v v) v 3/8 -5/2 1 (* (sqrt 2) 1/4) (sqrt 2) 2 1/4 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) (* (- (/ 1 (* v v)) 5/2) (* v v)) (- (/ 1 (* v v)) 5/2) (/ 1 (* v v)) 5/2 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (+ (* 3/8 (* v v)) -5/2) (* v v)) 1) (* (- (+ (pow v -4) 3/8) (/ 5/2 (* v v))) (pow v 4)) (- (+ (pow v -4) 3/8) (/ 5/2 (* v v))) (+ (pow v -4) 3/8) (pow v -4) -4 (/ 5/2 (* v v)) (pow v 4) 4 (* (* (* (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1))) (sqrt 2)) 1/4) (* (* (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1))) (sqrt 2)) (* (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1))) (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1)) (+ (* (* v -3) v) 1) (* v -3) -3)
4.0ms	v	@	inf	((* (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (* (sqrt 2) 1/4)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (+ (* (* v v) 3/8) -5/2) (* v v)) 1) (+ (* (* v v) 3/8) -5/2) (* v v) v 3/8 -5/2 1 (* (sqrt 2) 1/4) (sqrt 2) 2 1/4 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) (* (- (/ 1 (* v v)) 5/2) (* v v)) (- (/ 1 (* v v)) 5/2) (/ 1 (* v v)) 5/2 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (+ (* 3/8 (* v v)) -5/2) (* v v)) 1) (* (- (+ (pow v -4) 3/8) (/ 5/2 (* v v))) (pow v 4)) (- (+ (pow v -4) 3/8) (/ 5/2 (* v v))) (+ (pow v -4) 3/8) (pow v -4) -4 (/ 5/2 (* v v)) (pow v 4) 4 (* (* (* (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1))) (sqrt 2)) 1/4) (* (* (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1))) (sqrt 2)) (* (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1))) (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1)) (+ (* (* v -3) v) 1) (* v -3) -3)
3.0ms	v	@	0	((* (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (* (sqrt 2) 1/4)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (+ (* (* v v) 3/8) -5/2) (* v v)) 1) (+ (* (* v v) 3/8) -5/2) (* v v) v 3/8 -5/2 1 (* (sqrt 2) 1/4) (sqrt 2) 2 1/4 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) (* (- (/ 1 (* v v)) 5/2) (* v v)) (- (/ 1 (* v v)) 5/2) (/ 1 (* v v)) 5/2 (* (* 1/4 (sqrt 2)) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (+ (* 3/8 (* v v)) -5/2) (* v v)) 1) (* (- (+ (pow v -4) 3/8) (/ 5/2 (* v v))) (pow v 4)) (- (+ (pow v -4) 3/8) (/ 5/2 (* v v))) (+ (pow v -4) 3/8) (pow v -4) -4 (/ 5/2 (* v v)) (pow v 4) 4 (* (* (* (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1))) (sqrt 2)) 1/4) (* (* (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1))) (sqrt 2)) (* (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1))) (- 1 (* v v)) (sqrt (+ (* (* v -3) v) 1)) (+ (* (* v -3) v) 1) (* v -3) -3)

Time

Variable

Point

Expression

4.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

rewrite113.0ms (5.3%)

Memory

13.2MiB live, 155.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	3151
0	431	2777
0	2534	2691
1	6461	2691

Stop Event

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

Counts

118 → 230

Calls

Call 1

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

eval22.0ms (1%)

Memory: 9.5MiB live, 55.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 063 to 1 240 computations (59.5% saved)

prune11.0ms (0.5%)

Memory

-22.5MiB live, 24.5MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	224	2	226
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	226	7	233

Accuracy

100.0%

Counts

233 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓	100.0%	(.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v #s(literal -3 binary64)) v #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
	99.6%	(.f64 (.f64 #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 3/8 binary64) #s(literal -5/2 binary64)) v) v #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
✓	99.5%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))))
	21.4%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) #s(approx (+ (* (+ (* 3/8 (* v v)) -5/2) (* v v)) 1) (.f64 #s(approx (- (+ (pow v -4) 3/8) (/ 5/2 ( v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (pow.f64 v #s(literal -4 binary64)))) (pow.f64 v #s(literal 4 binary64))))))
✓	45.1%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) #s(approx (+ (* (* v v) -5/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #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 373 to 273 computations (26.8% saved)

regimes12.0ms (0.6%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Outputs

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

Calls

3 calls:

4.0ms

3.0ms

(*.f64 v v)

3.0ms

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

Results

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes9.0ms (0.4%)

Memory

-26.2MiB live, 20.2MiB allocated; 2ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

3.0ms

(*.f64 v v)

3.0ms

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)

regimes5.0ms (0.2%)

Memory

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

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

2.0ms

1.0ms

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

1.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
99.5%	1	`(*.f64 v v)`
99.5%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.5%	1	`v`

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms

(*.f64 v v)

1.0ms

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

Results

Accuracy	Segments	Branch
99.2%	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)

derivations49.0ms (2.3%)

Memory

-20.2MiB live, 74.3MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 62 to 45 computations (27.4% saved)

preprocess32.0ms (1.5%)

Memory: 35.1MiB live, 80.6MiB allocated; 6ms collecting garbage
Remove: (abs v)
Compiler: Compiled 232 to 207 computations (10.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.3s (60.9%)

preprocess41.0ms (1.9%)

series8.0ms (0.4%)

rewrite83.0ms (3.9%)

eval25.0ms (1.2%)

prune8.0ms (0.4%)

series10.0ms (0.5%)

rewrite134.0ms (6.3%)

eval78.0ms (3.7%)

prune45.0ms (2.1%)

series8.0ms (0.4%)

rewrite89.0ms (4.2%)

eval28.0ms (1.3%)

prune5.0ms (0.2%)

series14.0ms (0.6%)

rewrite113.0ms (5.3%)

eval22.0ms (1%)

prune11.0ms (0.5%)

regimes12.0ms (0.6%)

regimes9.0ms (0.4%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

derivations49.0ms (2.3%)

preprocess32.0ms (1.5%)

end0.0ms (0%)

Profiling