Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

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

analyze4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.6s (52.8%)

Memory

-56.1MiB live, 1 893.3MiB allocated; 1.2s collecting garbage

Samples

1.3s	8 256×	0	valid
1.0ms	12×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 770.0ms (72.6% of total)

ival-sqrt: 133.0ms (12.5% of total)

ival-sub: 78.0ms (7.4% of total)

ival-div: 57.0ms (5.4% of total)

exact: 17.0ms (1.6% of total)

adjust: 3.0ms (0.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain148.0ms (4.8%)

Memory

8.8MiB live, 298.2MiB allocated; 15ms 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

47.0ms

512×

valid

Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 12.0ms (41.9% of total)

ival-sqrt: 7.0ms (24.4% of total)

ival-sub: 5.0ms (17.4% of total)

ival-div: 3.0ms (10.5% of total)

ival-true: 1.0ms (3.5% of total)

exact: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess241.0ms (7.8%)

Memory

-2.3MiB live, 249.1MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	58
1	68	57
2	199	57
3	587	57
4	2390	57
5	8000	57
0	14	19
0	23	19
1	45	19
2	127	19
3	381	19
4	1423	19
5	6707	19
0	8072	18

Stop Event

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

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)))

Outputs

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

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

Symmetry

(abs v)

Compiler

Compiled 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series9.0ms (0.3%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Counts

14 → 47

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	v	@	inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))
2.0ms	v	@	0	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))
2.0ms	v	@	-inf	((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))

Time

Variable

Point

Expression

4.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

rewrite136.0ms (4.4%)

Memory

-34.0MiB live, 166.4MiB allocated; 77ms 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)))

eval11.0ms (0.3%)

Memory: 28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 872 to 436 computations (84.8% saved)

prune15.0ms (0.5%)

Memory

-25.4MiB live, 20.3MiB allocated; 7ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Accuracy

100.0%

Counts

101 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	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 (/.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 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	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) (exp.f64 (.f64 (log.f64 v) #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.3%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 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)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
	97.9%	(.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)))
▶	98.9%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v)))))
▶	97.8%	#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 402 to 298 computations (25.9% saved)

series90.0ms (2.9%)

Memory

42.3MiB live, 91.0MiB allocated; 30ms collecting garbage

Counts

42 → 162

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

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

Calls

3 calls:

Time	Variable		Point	Expression
39.0ms	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))) (* 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)))) (+ (* (- (* (- (* -27/16 (* v v)) 9/8) (* v v)) 3/2) (* v v)) 1) (- (* (- (* -27/16 (* v v)) 9/8) (* v v)) 3/2) (* (- (* -27/16 (* v v)) 9/8) (* v v)) (- (* -27/16 (* v v)) 9/8) (* -27/16 (* v v)) -27/16 9/8 3/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (exp (* (log v) 2)))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (exp (* (log v) 2)))))) (sqrt (- 1 (* 3 (exp (* (log v) 2))))) (- 1 (* 3 (exp (* (log v) 2)))) (* 3 (exp (* (log v) 2))) 3 (exp (* (log v) 2)) (* (log v) 2) (log v))
27.0ms	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))) (* 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)))) (+ (* (- (* (- (* -27/16 (* v v)) 9/8) (* v v)) 3/2) (* v v)) 1) (- (* (- (* -27/16 (* v v)) 9/8) (* v v)) 3/2) (* (- (* -27/16 (* v v)) 9/8) (* v v)) (- (* -27/16 (* v v)) 9/8) (* -27/16 (* v v)) -27/16 9/8 3/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (exp (* (log v) 2)))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (exp (* (log v) 2)))))) (sqrt (- 1 (* 3 (exp (* (log v) 2))))) (- 1 (* 3 (exp (* (log v) 2)))) (* 3 (exp (* (log v) 2))) 3 (exp (* (log v) 2)) (* (log v) 2) (log v))
21.0ms	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))) (* 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)))) (+ (* (- (* (- (* -27/16 (* v v)) 9/8) (* v v)) 3/2) (* v v)) 1) (- (* (- (* -27/16 (* v v)) 9/8) (* v v)) 3/2) (* (- (* -27/16 (* v v)) 9/8) (* v v)) (- (* -27/16 (* v v)) 9/8) (* -27/16 (* v v)) -27/16 9/8 3/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (exp (* (log v) 2)))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (exp (* (log v) 2)))))) (sqrt (- 1 (* 3 (exp (* (log v) 2))))) (- 1 (* 3 (exp (* (log v) 2)))) (* 3 (exp (* (log v) 2))) 3 (exp (* (log v) 2)) (* (log v) 2) (log v))

Time

Variable

Point

Expression

39.0ms

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

27.0ms

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

21.0ms

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

rewrite134.0ms (4.3%)

Memory

-29.3MiB live, 112.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	6016
0	559	5237
0	2300	5071

Stop Event

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

Counts

204 → 323

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

Outputs
(.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 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 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 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 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)))) #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 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))))
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) #s(literal 3 binary64)) (.f64 (.f64 v v) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) (.f64 (.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 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 v v) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #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 v v) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) (.f64 (.f64 v v) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 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 v v) #s(literal 3 binary64)))
(+.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 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 v v)
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 v) #s(literal 2 binary64))))
v
#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)
#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)))))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))))
(fma.f64 (.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 v v) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
(+.f64 (.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(.f64 (.f64 v v) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) #s(literal -5/2 binary64)))
(fma.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)))
(fma.f64 (.f64 v v) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)))
(+.f64 (.f64 (.f64 v v) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(literal -5/2 binary64)
(.f64 (.f64 #s(approx (sqrt (+ (* -3 (* v v)) 1)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -27/16 binary64) v) v) #s(literal 9/8 binary64)) (.f64 v v)) #s(literal 3/2 binary64)) (.f64 v v) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(approx (sqrt (+ ( -3 (* v v)) 1)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -27/16 binary64) v) v) #s(literal 9/8 binary64)) (.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(approx (sqrt (+ (* -3 (* v v)) 1)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -27/16 binary64) v) v) #s(literal 9/8 binary64)) (.f64 v v)) #s(literal 3/2 binary64)) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 #s(approx (sqrt (+ ( -3 (* v v)) 1)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -27/16 binary64) v) v) #s(literal 9/8 binary64)) (.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (+ ( -3 (* v v)) 1)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -27/16 binary64) v) v) #s(literal 9/8 binary64)) (.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (+ ( -3 (* v v)) 1)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -27/16 binary64) v) v) #s(literal 9/8 binary64)) (.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -27/16 binary64) v) v) #s(literal 9/8 binary64)) (.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -27/16 binary64) v) v) #s(literal 9/8 binary64)) (.f64 v v)) #s(literal 3/2 binary64)) (.f64 v v)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -27/16 binary64) v) v) #s(literal 9/8 binary64)) (.f64 v v)) #s(literal 3/2 binary64)) (.f64 v v))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -27/16 binary64) v) v) #s(literal 9/8 binary64)) (.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v)) #s(literal 1 binary64)))
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eval52.0ms (1.7%)

Memory: 13.8MiB live, 61.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 13 127 to 1 449 computations (89% saved)

prune32.0ms (1%)

Memory

-19.2MiB live, 27.9MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	368	5	373
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	373	8	381

Accuracy

100.0%

Counts

381 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	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 (-.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)))))))
	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 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 v v)))))
▶	99.2%	(.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))))
▶	98.9%	(.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 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))))
✓	99.3%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 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)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	97.9%	(.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)))
✓	97.8%	#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 374 to 268 computations (28.3% saved)

series19.0ms (0.6%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

42 → 183

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (pow v 4) (* 1 (* v v))))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (sqrt (+ (* -3 (* v v)) 1)) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (pow v 4) (* 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (pow v 4) (* 1 (* v v))))) (- 1 (pow (* v v) 3)) (pow (* v v) 3) 3 (+ 1 (+ (pow v 4) (* 1 (* v v)))) (+ (pow v 4) (* 1 (* v v))) (pow v 4) (* 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* 1/4 (sqrt 2)) 1/4 (- 1 (* v v)) (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) -5/2 (* (/ (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) (sqrt (+ (* (* -3 v) v) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* (* -3 v) v) 1))) 4) (* (sqrt 2) (sqrt (+ (* (* -3 v) v) 1))) (sqrt (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v))
4.0ms	v	@	0	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (pow v 4) (* 1 (* v v))))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (sqrt (+ (* -3 (* v v)) 1)) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (pow v 4) (* 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (pow v 4) (* 1 (* v v))))) (- 1 (pow (* v v) 3)) (pow (* v v) 3) 3 (+ 1 (+ (pow v 4) (* 1 (* v v)))) (+ (pow v 4) (* 1 (* v v))) (pow v 4) (* 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* 1/4 (sqrt 2)) 1/4 (- 1 (* v v)) (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) -5/2 (* (/ (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) (sqrt (+ (* (* -3 v) v) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* (* -3 v) v) 1))) 4) (* (sqrt 2) (sqrt (+ (* (* -3 v) v) 1))) (sqrt (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v))
4.0ms	v	@	-inf	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (pow v 4) (* 1 (* v v))))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (sqrt (+ (* -3 (* v v)) 1)) (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (pow v 4) (* 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 (/ (- 1 (pow (* v v) 3)) (+ 1 (+ (pow v 4) (* 1 (* v v))))) (- 1 (pow (* v v) 3)) (pow (* v v) 3) 3 (+ 1 (+ (pow v 4) (* 1 (* v v)))) (+ (pow v 4) (* 1 (* v v))) (pow v 4) (* 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* 1/4 (sqrt 2)) 1/4 (- 1 (* v v)) (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (* v v) -5/2) 1) -5/2 (* (/ (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) (sqrt (+ (* (* -3 v) v) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* (* -3 v) v) 1))) 4) (* (sqrt 2) (sqrt (+ (* (* -3 v) v) 1))) (sqrt (+ (* (* -3 v) v) 1)) (+ (* (* -3 v) v) 1) (* -3 v))

Time

Variable

Point

Expression

6.0ms

inf

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

4.0ms

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

4.0ms

-inf

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

rewrite114.0ms (3.7%)

Memory

-8.2MiB live, 83.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	564	7474
0	627	6068
0	2901	5847

Stop Event

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

Counts

225 → 370

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

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

eval57.0ms (1.9%)

Memory: 20.4MiB live, 68.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 13 659 to 1 464 computations (89.3% saved)

prune24.0ms (0.8%)

Memory

-22.0MiB live, 23.9MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	383	2	385
Fresh	1	0	1
Picked	2	3	5
Done	1	1	2
Total	387	6	393

Accuracy

100.0%

Counts

393 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v #s(literal -3 binary64)) v #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
✓	100.0%	(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
✓	98.9%	(.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 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))))
✓	97.9%	(.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)))
✓	97.8%	#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 139 to 104 computations (25.2% saved)

series12.0ms (0.4%)

Memory

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

Counts

25 → 110

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite100.0ms (3.2%)

Memory

-0.3MiB live, 90.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	467	4440
0	503	3863
0	2752	3733

Stop Event

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

Counts

135 → 212

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

eval85.0ms (2.7%)

Memory: 11.3MiB live, 57.7MiB allocated; 69ms collecting garbage
Compiler: Compiled 8 931 to 1 049 computations (88.3% saved)

prune17.0ms (0.6%)

Memory

-22.8MiB live, 27.6MiB allocated; 9ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	0	0	0
Picked	2	0	2
Done	0	4	4
Total	248	6	254

Accuracy

100.0%

Counts

254 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (.f64 (sqrt.f64 #s(approx ( 2 (+ (* (* v -3) v) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
	100.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 v #s(literal -3 binary64)) v #s(literal 1 binary64))))) #s(literal 4 binary64))
✓	100.0%	(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	98.9%	(.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 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))))
✓	97.9%	(.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)))
✓	97.8%	#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 597 to 243 computations (59.3% saved)

regimes14.0ms (0.4%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Counts

18 → 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(approx ( 2 (+ (* (* v -3) v) 1)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
(.f64 (/.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 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v #s(literal -3 binary64)) v #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 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)))) (-.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 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 v v)))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 v #s(literal -3 binary64)) v #s(literal 1 binary64))))) #s(literal 4 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (fma.f64 (fma.f64 v v #s(literal 1 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) (exp.f64 (.f64 (log.f64 v) #s(literal 2 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 (-.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)))))))

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 (-.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)))))))

Calls

3 calls:

5.0ms

4.0ms

(*.f64 v v)

4.0ms

(*.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)

regimes14.0ms (0.4%)

Memory

-24.0MiB live, 22.5MiB allocated; 2ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms

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

4.0ms

(*.f64 v v)

Results

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.2%)

Memory

10.7MiB live, 10.8MiB 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
98.9%	1	`(*.f64 v v)`
98.9%	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)))`
98.9%	1	`v`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes4.0ms (0.1%)

Memory

8.8MiB live, 8.7MiB 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
97.9%	1	`(*.f64 v v)`
97.9%	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)))`
97.9%	1	`v`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB 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 (*.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
97.8%	1	`(*.f64 v v)`
97.8%	1	`v`
97.8%	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)))`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify50.0ms (1.6%)

Memory

-26.0MiB live, 69.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	129
1	98	129
2	266	129
3	985	129
4	5564	129

Stop Event

1×	node limit

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

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

derivations36.0ms (1.2%)

Memory

-3.5MiB live, 43.0MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 129 to 57 computations (55.8% saved)

preprocess32.0ms (1%)

Memory: 11.4MiB live, 57.6MiB allocated; 4ms collecting garbage
Remove: (abs v)
Compiler: Compiled 416 to 218 computations (47.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.6s (52.8%)

explain148.0ms (4.8%)

preprocess241.0ms (7.8%)

eval0.0ms (0%)

prune1.0ms (0%)

series9.0ms (0.3%)

rewrite136.0ms (4.4%)

eval11.0ms (0.3%)

prune15.0ms (0.5%)

series90.0ms (2.9%)

rewrite134.0ms (4.3%)

eval52.0ms (1.7%)

prune32.0ms (1%)

series19.0ms (0.6%)

rewrite114.0ms (3.7%)

eval57.0ms (1.9%)

prune24.0ms (0.8%)

series12.0ms (0.4%)

rewrite100.0ms (3.2%)

eval85.0ms (2.7%)

prune17.0ms (0.6%)

regimes14.0ms (0.4%)

regimes14.0ms (0.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify50.0ms (1.6%)

derivations36.0ms (1.2%)

preprocess32.0ms (1%)

end0.0ms (0%)

Profiling