Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

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

analyze5.0ms (0.3%)

Memory

4.4MiB live, 4.4MiB 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)

sample981.0ms (54.7%)

Memory

11.4MiB live, 780.9MiB allocated; 965ms collecting garbage

Samples

758.0ms	8 256×	0	valid
1.0ms	17×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-mult!: 180.0ms (61.8% of total)

ival-sqrt: 73.0ms (25.1% of total)

ival-sub!: 37.0ms (12.7% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain133.0ms (7.4%)

Memory

35.2MiB live, 223.9MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

34.0ms

512×

valid

Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult!: 9.0ms (58.2% of total)

ival-sqrt: 4.0ms (25.9% of total)

ival-sub!: 2.0ms (12.9% of total)

adjust: 0.0ms (0% of total)

preprocess103.0ms (5.8%)

Memory

-48.9MiB live, 59.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	58
1	68	57
2	199	57
3	587	57
4	2390	57
5	8000	57

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Symmetry

(abs v)

Compiler

Compiled 38 to 28 computations (26.3% saved)

series8.0ms (0.5%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

14 → 47

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

rewrite152.0ms (8.5%)

Memory

-9.2MiB live, 79.5MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1702
0	258	1514
0	1312	1417

Stop Event

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

Counts

61 → 86

Calls

Call 1

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

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

eval10.0ms (0.6%)

Memory: 23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 872 to 436 computations (84.8% saved)

prune5.0ms (0.3%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	5	101

Accuracy

100.0%

Counts

101 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
▶	99.1%	(.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))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64)))
▶	99.1%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #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)))))
▶	99.1%	#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 240 to 188 computations (21.7% saved)

series27.0ms (1.5%)

Memory

-23.8MiB live, 33.6MiB allocated; 24ms collecting garbage

Counts

31 → 96

Calls

Call 1

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

Outputs
#s(approx (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (* (sqrt 2) -5/2) (* v v)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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))))) (- 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
19.0ms	v	@	inf	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (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))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) (* 3 (* v v)) 3 (- 1 (* v v)))
3.0ms	v	@	-inf	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (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))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) (* 3 (* v v)) 3 (- 1 (* v v)))
2.0ms	v	@	0	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (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))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) (* 3 (* v v)) 3 (- 1 (* v v)))

Time

Variable

Point

Expression

19.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite77.0ms (4.3%)

Memory

9.1MiB live, 103.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	3674
0	412	3241
0	1884	3134

Stop Event

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

Counts

127 → 210

Calls

Call 1

Inputs
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v)))))
(.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (* (sqrt 2) -5/2) (* v v)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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 (* (/ (sqrt 2) 4) (* (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))))) (- 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 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 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)))
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 (.f64 #s(literal 3 binary64) v) v))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3 binary64) v) v)))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) (.f64 (.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3 binary64) v) v)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) (.f64 (.f64 v v) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) (.f64 (.f64 v v) #s(literal -3 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64))))))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) v) v))
(+.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))
#s(literal -3 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
#s(approx (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))
(+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
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eval25.0ms (1.4%)

Memory: 16.4MiB live, 62.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 7 531 to 852 computations (88.7% saved)

prune12.0ms (0.7%)

Memory

-31.2MiB live, 19.4MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	240	3	243
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	242	6	248

Accuracy

100.0%

Counts

248 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
▶	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -9/16 binary64) (.f64 v v) #s(literal 3/8 binary64)) (.f64 v v)) #s(literal 5/2 binary64)) (.f64 v v) #s(literal 1 binary64))))
▶	99.9%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 v v)) #s(literal 5/2 binary64)) (*.f64 v v) #s(literal 1 binary64))))
▶	99.7%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 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))))
✓	99.1%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.1%	#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 161 to 118 computations (26.7% saved)

series8.0ms (0.5%)

Memory

17.8MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

25 → 63

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) (* v v) v -5/2 1 (* (/ (sqrt 2) 4) (* (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 (* v v)) 3/8 5/2 (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (- (* (+ (* -9/16 (* v v)) 3/8) (* v v)) 5/2) (* v v)) 1) (- (* (+ (* -9/16 (* v v)) 3/8) (* v v)) 5/2) (* (+ (* -9/16 (* v v)) 3/8) (* v v)) (+ (* -9/16 (* v v)) 3/8) -9/16)
2.0ms	v	@	-inf	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) (* v v) v -5/2 1 (* (/ (sqrt 2) 4) (* (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 (* v v)) 3/8 5/2 (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (- (* (+ (* -9/16 (* v v)) 3/8) (* v v)) 5/2) (* v v)) 1) (- (* (+ (* -9/16 (* v v)) 3/8) (* v v)) 5/2) (* (+ (* -9/16 (* v v)) 3/8) (* v v)) (+ (* -9/16 (* v v)) 3/8) -9/16)
2.0ms	v	@	0	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) (* v v) v -5/2 1 (* (/ (sqrt 2) 4) (* (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 (* v v)) 3/8 5/2 (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (- (* (+ (* -9/16 (* v v)) 3/8) (* v v)) 5/2) (* v v)) 1) (- (* (+ (* -9/16 (* v v)) 3/8) (* v v)) 5/2) (* (+ (* -9/16 (* v v)) 3/8) (* v v)) (+ (* -9/16 (* v v)) 3/8) -9/16)

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite60.0ms (3.3%)

Memory

-3.4MiB live, 42.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	2290
0	298	2079
0	1411	2015

Stop Event

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

Counts

88 → 153

Calls

Call 1

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

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

eval41.0ms (2.3%)

Memory: -12.9MiB live, 33.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 8 874 to 890 computations (90% saved)

prune10.0ms (0.5%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	223	6	229

Accuracy

100.0%

Counts

229 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -9/16 binary64) (.f64 v v) #s(literal 3/8 binary64)) (.f64 v v)) #s(literal 5/2 binary64)) (.f64 v v) #s(literal 1 binary64))))
✓	99.9%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 v v)) #s(literal 5/2 binary64)) (*.f64 v v) #s(literal 1 binary64))))
✓	99.7%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 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))))
✓	99.1%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.1%	#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 395 to 185 computations (53.2% saved)

regimes8.0ms (0.4%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms 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 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 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))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 v v)) #s(literal 5/2 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))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -9/16 binary64) (.f64 v v) #s(literal 3/8 binary64)) (.f64 v v)) #s(literal 5/2 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)))

Outputs

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

Calls

3 calls:

3.0ms

2.0ms

(*.f64 v v)

2.0ms

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

Results

Accuracy	Segments	Branch
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 23 to 17 computations (26.1% saved)

regimes25.0ms (1.4%)

Memory

-30.6MiB live, 14.8MiB allocated; 5ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Outputs

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

Calls

3 calls:

21.0ms

2.0ms

(*.f64 v v)

2.0ms

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

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 v v)`
99.9%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.9%	1	`v`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.3%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 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))))

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes3.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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
99.1%	1	`(*.f64 v v)`
99.1%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.1%	1	`v`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes3.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB 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
99.1%	1	`(*.f64 v v)`
99.1%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.1%	1	`v`

Compiler

Compiled 23 to 17 computations (26.1% saved)

derivations31.0ms (1.7%)

Memory

-27.3MiB live, 23.3MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 124 to 47 computations (62.1% saved)

preprocess63.0ms (3.5%)

Memory: 8.5MiB live, 55.1MiB allocated; 4ms collecting garbage
Remove: (abs v)
Compiler: Compiled 534 to 310 computations (41.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze5.0ms (0.3%)

sample981.0ms (54.7%)

explain133.0ms (7.4%)

preprocess103.0ms (5.8%)

series8.0ms (0.5%)

rewrite152.0ms (8.5%)

eval10.0ms (0.6%)

prune5.0ms (0.3%)

series27.0ms (1.5%)

rewrite77.0ms (4.3%)

eval25.0ms (1.4%)

prune12.0ms (0.7%)

series8.0ms (0.5%)

rewrite60.0ms (3.3%)

eval41.0ms (2.3%)

prune10.0ms (0.5%)

regimes8.0ms (0.4%)

regimes25.0ms (1.4%)

regimes5.0ms (0.3%)

regimes3.0ms (0.2%)

regimes3.0ms (0.2%)

derivations31.0ms (1.7%)

preprocess63.0ms (3.5%)

end0.0ms (0%)

Profiling