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

7.8MiB live, 7.7MiB 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)

sample1.2s (40.4%)

Memory

19.7MiB live, 1 319.7MiB allocated; 292ms collecting garbage

Samples

784.0ms	8 256×	0	valid
1.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 593.0ms

ival-mult: 244.0ms (41.1% of total)

ival-sqrt: 153.0ms (25.8% of total)

ival-sub: 102.0ms (17.2% of total)

ival-div: 68.0ms (11.5% of total)

exact: 20.0ms (3.4% of total)

adjust: 3.0ms (0.5% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain226.0ms (7.9%)

Memory

-18.7MiB live, 271.4MiB allocated; 113ms 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

51.0ms

512×

valid

Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 13.0ms (39.1% of total)

ival-sqrt: 8.0ms (24.1% of total)

ival-sub: 7.0ms (21.1% of total)

ival-div: 4.0ms (12% of total)

ival-true: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

preprocess297.0ms (10.4%)

Memory

-7.3MiB live, 228.4MiB allocated; 29ms 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

series12.0ms (0.4%)

Memory

-32.1MiB live, 13.4MiB allocated; 5ms 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)))
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)))

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)))

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)))

rewrite85.0ms (3%)

Memory

22.3MiB live, 67.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1514
0	1285	1417

Stop Event

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

Counts

61 → 86

Calls

Call 1

Inputs
(* (* (/ (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))
#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 (0.4%)

Memory: 25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 872 to 436 computations (84.8% saved)

prune23.0ms (0.8%)

Memory

-18.2MiB live, 35.6MiB allocated; 9ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

101 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.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 #s(literal 1 binary64) (.f64 v v)))
▶	98.5%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.4%	#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)))))
▶	98.5%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 282 to 194 computations (31.2% saved)

series23.0ms (0.8%)

Memory

1.2MiB live, 47.4MiB allocated; 5ms collecting garbage

Counts

36 → 137

Calls

Call 1

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

3 calls:

Time	Variable		Point	Expression
9.0ms	v	@	inf	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) 3 (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))) (* 1 (* (* 3 v) v)))
5.0ms	v	@	-inf	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) 3 (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))) (* 1 (* (* 3 v) v)))
4.0ms	v	@	0	((* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 (* v v) v 1 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) 3 (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))) (* 1 (* (* 3 v) v)))

Time

Variable

Point

Expression

9.0ms

inf

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

5.0ms

-inf

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

4.0ms

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

rewrite101.0ms (3.5%)

Memory

16.6MiB live, 108.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	426	4733
0	2121	4429

Stop Event

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

Counts

173 → 305

Calls

Call 1

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

eval86.0ms (3%)

Memory: -7.0MiB live, 92.3MiB allocated; 17ms collecting garbage
Compiler: Compiled 13 442 to 1 435 computations (89.3% saved)

prune16.0ms (0.6%)

Memory

-2.1MiB live, 44.3MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	357	6	363
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	359	9	368

Accuracy

100.0%

Counts

368 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
▶	99.8%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 v v)) #s(literal 5/2 binary64)) (*.f64 v v) #s(literal 1 binary64))))
▶	99.4%	(.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))))
	49.8%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.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))))))) #s(approx (- 1 ( v v)) (.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (fma.f64 (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) (.f64 v v) #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	98.5%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.4%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓	98.5%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 532 to 333 computations (37.4% saved)

series31.0ms (1.1%)

Memory

-38.6MiB live, 58.6MiB allocated; 9ms collecting garbage

Counts

45 → 195

Calls

Call 1

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

Outputs
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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)))))))))))
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Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	v	@	0	((* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (sqrt (- 1 (pow (* (* 3 v) v) 3))) (- 1 (pow (* (* 3 v) v) 3)) 1 (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) 3 v (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) (+ (* (* v v) 3) 1) (* v v) (- 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 (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) 1/4 (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (- (* 3/8 (* v v)) 5/2) (* v v)) 1) (- (* 3/8 (* v v)) 5/2) (* 3/8 (* v v)) 3/8 5/2 (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) (+ (* 9 (* v v)) 3) 9)
8.0ms	v	@	inf	((* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (sqrt (- 1 (pow (* (* 3 v) v) 3))) (- 1 (pow (* (* 3 v) v) 3)) 1 (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) 3 v (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) (+ (* (* v v) 3) 1) (* v v) (- 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 (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) 1/4 (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (- (* 3/8 (* v v)) 5/2) (* v v)) 1) (- (* 3/8 (* v v)) 5/2) (* 3/8 (* v v)) 3/8 5/2 (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) (+ (* 9 (* v v)) 3) 9)
6.0ms	v	@	-inf	((* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (sqrt (- 1 (pow (* (* 3 v) v) 3))) (- 1 (pow (* (* 3 v) v) 3)) 1 (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) 3 v (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) (+ (* (* v v) 3) 1) (* v v) (- 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 (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) 1/4 (* (/ (sqrt 2) 4) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (+ (* (- (* 3/8 (* v v)) 5/2) (* v v)) 1) (- (* 3/8 (* v v)) 5/2) (* 3/8 (* v v)) 3/8 5/2 (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) (+ (* 9 (* v v)) 3) 9)

Time

Variable

Point

Expression

8.0ms

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

8.0ms

inf

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

6.0ms

-inf

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

rewrite140.0ms (4.9%)

Memory

43.0MiB live, 182.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	600	6686
0	2974	6242

Stop Event

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

Counts

240 → 381

Calls

Call 1

Inputs
(* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))))
(/ (sqrt 2) 4)
(sqrt 2)
2
4
(* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))
(/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)))
(sqrt (- 1 (pow (* (* 3 v) v) 3)))
(- 1 (pow (* (* 3 v) v) 3))
1
(pow (* (* 3 v) v) 3)
(* (* 3 v) v)
(* 3 v)
3
v
(sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))
(+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)
(+ (* (* v v) 3) 1)
(* v v)
(- 1 (* v v))
(* (/ (sqrt 2) 4) #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) #s(hole binary64 (+ (* (* v v) -5/2) 1))))
#s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) #s(hole binary64 (+ (* (* v v) -5/2) 1)))
(+ (* (* v v) -5/2) 1)
-5/2
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4)))
(* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4)
(+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2))
(* (* -5/2 (sqrt 2)) v)
(* -5/2 (sqrt 2))
1/4
(* (/ (sqrt 2) 4) #s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) #s(hole binary64 (+ (* (- (* 3/8 (* v v)) 5/2) (* v v)) 1))))
#s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) #s(hole binary64 (+ (* (- (* 3/8 (* v v)) 5/2) (* v v)) 1)))
(+ (* (- (* 3/8 (* v v)) 5/2) (* v v)) 1)
(- (* 3/8 (* v v)) 5/2)
(* 3/8 (* v v))
3/8
5/2
(* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1))))))
(sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)))))
(/ (- 1 (pow (* (* 3 v) v) 3)) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1))))
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)))
(+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)
(+ (* 9 (* v v)) 3)
9
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 1))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 (+ 1 (* -5/2 (pow v 2)))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (+ 1 (* -27/2 (pow v 6)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (+ 1 (* (pow v 6) (- (* -729/8 (pow v 6)) 27/2)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (+ 1 (* (pow v 6) (- (* (pow v 6) (- (* -19683/16 (pow v 6)) 729/8)) 27/2)))))
#s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 (+ 1 (* -27 (pow v 6)))))
#s(approx (pow (* (* 3 v) v) 3) #s(hole binary64 (* 27 (pow v 6))))
#s(approx (* (* 3 v) v) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* 3 v) #s(hole binary64 (* 3 v)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (+ 1 (* 3/2 (pow v 2)))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3/2 (* 27/8 (pow v 2)))))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3/2 (* (pow v 2) (+ 27/8 (* -81/16 (pow v 2)))))))))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 (+ 1 (* 3 (pow v 2)))))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3 (* 9 (pow v 2)))))))
#s(approx (+ (* (* v v) 3) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) 3) 1) #s(hole binary64 (+ 1 (* 3 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 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)))))))))
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#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
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#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -27)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* -1 (* (pow v 3) (+ (sqrt -27) (* 1/2 (/ 1 (* (pow v 6) (sqrt -27)))))))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (sqrt -27) (/ 1/2 (* (pow v 6) (sqrt -27)))) (/ 1/8 (* (pow v 12) (pow (sqrt -27) 3))))))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (sqrt -27) (+ (/ 1/2 (* (pow v 6) (sqrt -27))) (* 1/16 (/ 1 (* (pow v 18) (pow (sqrt -27) 5)))))) (* 1/8 (/ 1 (* (pow v 12) (pow (sqrt -27) 3)))))))))
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Outputs
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(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
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(pow.f64 (.f64 (.f64 v #s(literal 3 binary64)) v) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 v #s(literal 3 binary64)) v)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v)
(.f64 (.f64 v v) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 v #s(literal 3 binary64)) v) #s(literal 1 binary64))
(.f64 (.f64 v #s(literal 3 binary64)) v)
(.f64 v (.f64 v #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 v #s(literal 3 binary64)) v))
(*.f64 v #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) v)
#s(literal 3 binary64)
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#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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)))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -27 binary64)) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) (neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal -6 binary64)) (sqrt.f64 #s(literal -27 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -27 binary64))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal -6 binary64)) (sqrt.f64 #s(literal -27 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -27 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 #s(literal -27 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal -6 binary64)) (sqrt.f64 #s(literal -27 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -27 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 #s(literal -27 binary64) #s(literal 5/2 binary64)) (pow.f64 v #s(literal 18 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 #s(literal -27 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 4 binary64))))))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (neg.f64 (.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (/.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal -4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 v #s(literal -4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 v #s(literal -4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 v #s(literal -4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 4 binary64))))))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 4 binary64))))))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (neg.f64 (.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) #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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) #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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 #s(literal -3 binary64) #s(literal 5/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v)))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (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 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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)))

eval116.0ms (4%)

Memory: -30.0MiB live, 112.3MiB allocated; 15ms collecting garbage
Compiler: Compiled 22 336 to 2 041 computations (90.9% saved)

prune14.0ms (0.5%)

Memory

39.1MiB live, 39.1MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	486	3	489
Fresh	1	0	1
Picked	2	3	5
Done	0	3	3
Total	489	9	498

Accuracy

100.0%

Counts

498 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 #s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	99.8%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 v v)) #s(literal 5/2 binary64)) (*.f64 v v) #s(literal 1 binary64))))
✓	99.4%	(.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))))
▶	49.8%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (fma.f64 (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) (.f64 v v) #s(literal 1 binary64)))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #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(approx (- 1 (pow (* (* 3 v) v) 3)) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (fma.f64 (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) (.f64 v v) #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	98.5%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.4%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓	98.5%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 321 to 209 computations (34.9% saved)

series37.0ms (1.3%)

Memory

-46.1MiB live, 51.2MiB allocated; 8ms collecting garbage

Counts

42 → 149

Calls

Call 1

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

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 (+ 1 (* -27 (pow v 6)))))
#s(approx (+ (* -27 (pow v 6)) 1) #s(hole binary64 1))
#s(approx (+ (* -27 (pow v 6)) 1) #s(hole binary64 (+ 1 (* -27 (pow v 6)))))
#s(approx (pow v 6) #s(hole binary64 (pow v 6)))
#s(approx v #s(hole binary64 v))
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 1))
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ 1 (* 3 (pow v 2)))))
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3 (* 9 (pow v 2)))))))
#s(approx (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) #s(hole binary64 (+ 1 (* 3 (pow v 2)))))
#s(approx (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3 (* 9 (pow v 2)))))))
#s(approx (+ (* 9 (* v v)) 3) #s(hole binary64 3))
#s(approx (+ (* 9 (* v v)) 3) #s(hole binary64 (+ 3 (* 9 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 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 (pow (* (* 3 v) v) 3) #s(hole binary64 (* 27 (pow v 6))))
#s(approx (* (* 3 v) v) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* 3 v) #s(hole binary64 (* 3 v)))
#s(approx (* (- (pow v -2) 1) (* v v)) #s(hole binary64 1))
#s(approx (* (- (pow v -2) 1) (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- (pow v -2) 1) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (- (pow v -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow v 2))) (pow v 2))))
#s(approx (pow v -2) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 1))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 (+ 1 (* -5/2 (pow v 2)))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (+ 1 (* -27/2 (pow v 6)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (+ 1 (* (pow v 6) (- (* -729/8 (pow v 6)) 27/2)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (+ 1 (* (pow v 6) (- (* (pow v 6) (- (* -19683/16 (pow v 6)) 729/8)) 27/2)))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (+ 1 (* 3/2 (pow v 2)))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3/2 (* 27/8 (pow v 2)))))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3/2 (* (pow v 2) (+ 27/8 (* -81/16 (pow v 2)))))))))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 (+ 1 (* 3 (pow v 2)))))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3 (* 9 (pow v 2)))))))
#s(approx (+ (* (* v v) 3) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) 3) 1) #s(hole binary64 (+ 1 (* 3 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 (* -27 (pow v 6))))
#s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 (* (pow v 6) (- (/ 1 (pow v 6)) 27))))
#s(approx (+ (* -27 (pow v 6)) 1) #s(hole binary64 (* -27 (pow v 6))))
#s(approx (+ (* -27 (pow v 6)) 1) #s(hole binary64 (* (pow v 6) (- (/ 1 (pow v 6)) 27))))
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (* 9 (pow v 4))))
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (* (pow v 4) (+ 9 (* 3 (/ 1 (pow v 2)))))))
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (* (pow v 4) (+ 9 (+ (* 3 (/ 1 (pow v 2))) (/ 1 (pow v 4)))))))
#s(approx (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) #s(hole binary64 (* 9 (pow v 4))))
#s(approx (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) #s(hole binary64 (* (pow v 4) (+ 9 (* 3 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) #s(hole binary64 (* (pow v 4) (+ 9 (+ (* 3 (/ 1 (pow v 2))) (/ 1 (pow v 4)))))))
#s(approx (+ (* 9 (* v v)) 3) #s(hole binary64 (* 9 (pow v 2))))
#s(approx (+ (* 9 (* v v)) 3) #s(hole binary64 (* (pow v 2) (+ 9 (* 3 (/ 1 (pow v 2)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (- (pow v -2) 1) (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (* (- (pow v -2) 1) (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- (pow v -2) 1) #s(hole binary64 -1))
#s(approx (- (pow v -2) 1) #s(hole binary64 (- (/ 1 (pow v 2)) 1)))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -3)))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* (pow v 3) (sqrt -27))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* (pow v 3) (+ (sqrt -27) (* 1/2 (/ 1 (* (pow v 6) (sqrt -27))))))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* (pow v 3) (- (+ (sqrt -27) (/ 1/2 (* (pow v 6) (sqrt -27)))) (/ 1/8 (* (pow v 12) (pow (sqrt -27) 3)))))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* (pow v 3) (- (+ (sqrt -27) (+ (/ 1/2 (* (pow v 6) (sqrt -27))) (* 1/16 (/ 1 (* (pow v 18) (pow (sqrt -27) 5)))))) (* 1/8 (/ 1 (* (pow v 12) (pow (sqrt -27) 3))))))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (* (pow v 2) (+ 3 (* 1/2 (/ 1 (pow v 2)))))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (* (pow v 2) (+ 3 (+ (/ 1/8 (pow v 4)) (* 1/2 (/ 1 (pow v 2))))))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (* (pow v 2) (- (+ 3 (+ (/ 1/8 (pow v 4)) (* 1/2 (/ 1 (pow v 2))))) (* 1/48 (/ 1 (pow v 6)))))))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 (* 9 (pow v 4))))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 (* (pow v 4) (+ 9 (* 3 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 (* (pow v 4) (+ 9 (+ (* 3 (/ 1 (pow v 2))) (/ 1 (pow v 4)))))))
#s(approx (+ (* (* v v) 3) 1) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (+ (* (* v v) 3) 1) #s(hole binary64 (* (pow v 2) (+ 3 (/ 1 (pow v 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (sqrt -3))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -27)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* -1 (* (pow v 3) (+ (sqrt -27) (* 1/2 (/ 1 (* (pow v 6) (sqrt -27)))))))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (sqrt -27) (/ 1/2 (* (pow v 6) (sqrt -27)))) (/ 1/8 (* (pow v 12) (pow (sqrt -27) 3))))))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (sqrt -27) (+ (/ 1/2 (* (pow v 6) (sqrt -27))) (* 1/16 (/ 1 (* (pow v 18) (pow (sqrt -27) 5)))))) (* 1/8 (/ 1 (* (pow v 12) (pow (sqrt -27) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	v	@	inf	((* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (+ (* -27 (pow v 6)) 1) -27 (pow v 6) v 6 1 (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) (+ (* 9 (* v v)) 3) 9 (* v v) 3 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) (- 1 (* v v)) (* (- (pow v -2) 1) (* v v)) (- (pow v -2) 1) (pow v -2) -2 (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) (+ (* (* v v) 3) 1))
8.0ms	v	@	-inf	((* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (+ (* -27 (pow v 6)) 1) -27 (pow v 6) v 6 1 (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) (+ (* 9 (* v v)) 3) 9 (* v v) 3 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) (- 1 (* v v)) (* (- (pow v -2) 1) (* v v)) (- (pow v -2) 1) (pow v -2) -2 (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) (+ (* (* v v) 3) 1))
5.0ms	v	@	0	((* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (+ (* -27 (pow v 6)) 1) -27 (pow v 6) v 6 1 (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) (+ (* 9 (* v v)) 3) 9 (* v v) 3 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) (- 1 (* v v)) (* (- (pow v -2) 1) (* v v)) (- (pow v -2) 1) (pow v -2) -2 (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) (+ (* (* v v) 3) 1))

Time

Variable

Point

Expression

12.0ms

inf

((* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (+ (* -27 (pow v 6)) 1) -27 (pow v 6) v 6 1 (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) (+ (* 9 (* v v)) 3) 9 (* v v) 3 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) (- 1 (* v v)) (* (- (pow v -2) 1) (* v v)) (- (pow v -2) 1) (pow v -2) -2 (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) (+ (* (* v v) 3) 1))

8.0ms

-inf

((* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (+ (* -27 (pow v 6)) 1) -27 (pow v 6) v 6 1 (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) (+ (* 9 (* v v)) 3) 9 (* v v) 3 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) (- 1 (* v v)) (* (- (pow v -2) 1) (* v v)) (- (pow v -2) 1) (pow v -2) -2 (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) (+ (* (* v v) 3) 1))

5.0ms

((* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (+ (* -27 (pow v 6)) 1) -27 (pow v 6) v 6 1 (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) (+ (* 9 (* v v)) 3) 9 (* v v) 3 (- 1 (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) (- 1 (pow (* (* 3 v) v) 3)) (pow (* (* 3 v) v) 3) (* (* 3 v) v) (* 3 v) (- 1 (* v v)) (* (- (pow v -2) 1) (* v v)) (- (pow v -2) 1) (pow v -2) -2 (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) (+ (* (* v v) 3) 1))

rewrite186.0ms (6.5%)

Memory

13.8MiB live, 205.8MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	519	6246
0	2655	5837

Stop Event

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

Counts

191 → 297

Calls

Call 1

Inputs
(* (* (/ (sqrt 2) 4) (sqrt (/ #s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 (+ (* -27 (pow v 6)) 1))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (sqrt (/ #s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 (+ (* -27 (pow v 6)) 1))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1))))))
(/ (sqrt 2) 4)
(sqrt 2)
2
4
(sqrt (/ #s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 (+ (* -27 (pow v 6)) 1))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)))))
(/ #s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 (+ (* -27 (pow v 6)) 1))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1))))
#s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 (+ (* -27 (pow v 6)) 1)))
(+ (* -27 (pow v 6)) 1)
-27
(pow v 6)
v
6
1
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)))
(+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)
(+ (* 9 (* v v)) 3)
9
(* v v)
3
(- 1 (* v v))
(* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)))))) #s(approx (- 1 (* v v)) #s(hole binary64 (* (- (pow v -2) 1) (* v v)))))
(* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1))))))
(sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)))))
(/ (- 1 (pow (* (* 3 v) v) 3)) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1))))
(- 1 (pow (* (* 3 v) v) 3))
(pow (* (* 3 v) v) 3)
(* (* 3 v) v)
(* 3 v)
#s(approx (- 1 (* v v)) #s(hole binary64 (* (- (pow v -2) 1) (* v v))))
(* (- (pow v -2) 1) (* v v))
(- (pow v -2) 1)
(pow v -2)
-2
(* (/ (sqrt 2) 4) (* (/ #s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 1)) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))))
(* (/ #s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 1)) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))
(/ #s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 1)) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 1))
(sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))
(+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)
(+ (* (* v v) 3) 1)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* (* 3 v) v) 3)) #s(hole binary64 (+ 1 (* -27 (pow v 6)))))
#s(approx (+ (* -27 (pow v 6)) 1) #s(hole binary64 1))
#s(approx (+ (* -27 (pow v 6)) 1) #s(hole binary64 (+ 1 (* -27 (pow v 6)))))
#s(approx (pow v 6) #s(hole binary64 (pow v 6)))
#s(approx v #s(hole binary64 v))
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 1))
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ 1 (* 3 (pow v 2)))))
#s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3 (* 9 (pow v 2)))))))
#s(approx (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) #s(hole binary64 (+ 1 (* 3 (pow v 2)))))
#s(approx (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3 (* 9 (pow v 2)))))))
#s(approx (+ (* 9 (* v v)) 3) #s(hole binary64 3))
#s(approx (+ (* 9 (* v v)) 3) #s(hole binary64 (+ 3 (* 9 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 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 (pow (* (* 3 v) v) 3) #s(hole binary64 (* 27 (pow v 6))))
#s(approx (* (* 3 v) v) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* 3 v) #s(hole binary64 (* 3 v)))
#s(approx (* (- (pow v -2) 1) (* v v)) #s(hole binary64 1))
#s(approx (* (- (pow v -2) 1) (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- (pow v -2) 1) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (- (pow v -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow v 2))) (pow v 2))))
#s(approx (pow v -2) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 1))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 (+ 1 (* -5/2 (pow v 2)))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (+ 1 (* -27/2 (pow v 6)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (+ 1 (* (pow v 6) (- (* -729/8 (pow v 6)) 27/2)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(hole binary64 (+ 1 (* (pow v 6) (- (* (pow v 6) (- (* -19683/16 (pow v 6)) 729/8)) 27/2)))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (+ 1 (* 3/2 (pow v 2)))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3/2 (* 27/8 (pow v 2)))))))
#s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3/2 (* (pow v 2) (+ 27/8 (* -81/16 (pow v 2)))))))))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 (+ 1 (* 3 (pow v 2)))))
#s(approx (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (+ 3 (* 9 (pow v 2)))))))
#s(approx (+ (* (* v v) 3) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) 3) 1) #s(hole binary64 (+ 1 (* 3 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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)))))))
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Outputs
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow ( (* 3 v) v) 3)) (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -27 binary64) #s(literal 1 binary64))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (fma.f64 (.f64 v v) (fma.f64 (.f64 #s(literal 9 binary64) v) v #s(literal 3 binary64)) #s(literal 1 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
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#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 #s(literal -3 binary64) #s(literal 5/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v)))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (/.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)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (neg.f64 (.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal -2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal -4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 v #s(literal -4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal -2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1))) (- 1 (* v v))) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 v #s(literal -4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 v #s(literal -4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal -2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (/.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)))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -27 binary64)) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) (neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal -6 binary64)) (sqrt.f64 #s(literal -27 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -27 binary64))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal -6 binary64)) (sqrt.f64 #s(literal -27 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -27 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 #s(literal -27 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal -6 binary64)) (sqrt.f64 #s(literal -27 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -27 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 #s(literal -27 binary64) #s(literal 5/2 binary64)) (pow.f64 v #s(literal 18 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 #s(literal -27 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 3 binary64)))))

eval132.0ms (4.6%)

Memory: 2.5MiB live, 95.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 26 440 to 1 895 computations (92.8% saved)

prune21.0ms (0.7%)

Memory

-8.0MiB live, 37.9MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	433	2	435
Fresh	0	0	0
Picked	2	1	3
Done	0	6	6
Total	435	9	444

Accuracy

100.0%

Counts

444 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 #s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(literal 1 binary64)) #s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (fma.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 v v) #s(literal 3/2 binary64)) (.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	99.8%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 v v)) #s(literal 5/2 binary64)) (*.f64 v v) #s(literal 1 binary64))))
✓	99.4%	(.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))))
	49.9%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (fma.f64 (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) (.f64 v v) #s(literal 1 binary64)))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #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(approx (- 1 (pow (* (* 3 v) v) 3)) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (fma.f64 (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) (.f64 v v) #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	98.5%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.4%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓	98.5%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 1 014 to 349 computations (65.6% saved)

regimes14.0ms (0.5%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms 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 (fma.f64 (.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx ( (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 v v)) #s(literal 5/2 binary64)) (*.f64 v v) #s(literal 1 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(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)) #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)) (.f64 (/.f64 #s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(literal 1 binary64)) #s(approx (sqrt (+ (* (* (* 3 v) v) (+ (* (* v v) 3) 1)) 1)) (fma.f64 (fma.f64 #s(literal 27/8 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 (/.f64 #s(approx (sqrt (- 1 (pow (* (* 3 v) v) 3))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 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(approx (- 1 (pow (* (* 3 v) v) 3)) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (fma.f64 (fma.f64 #s(literal 9 binary64) (.f64 v v) #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)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (fma.f64 (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) (.f64 v v) #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (fma.f64 (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) (.f64 v v) #s(literal 1 binary64)))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.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 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) #s(approx (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))) (fma.f64 (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) (.f64 v v) #s(literal 1 binary64)))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 v v))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.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))))))) #s(approx (- 1 ( v v)) (.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 v v))))

Outputs

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

Calls

3 calls:

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)

regimes7.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

2.0ms

(*.f64 v v)

2.0ms

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

Results

Accuracy	Segments	Branch
99.8%	1	`(*.f64 v v)`
99.8%	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)))`
99.8%	1	`v`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes10.0ms (0.3%)

Memory

-40.3MiB live, 11.8MiB allocated; 8ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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)))

2.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 v v)`
99.4%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.4%	1	`v`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

3 → 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))))

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 v v)

1.0ms

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

Results

Accuracy	Segments	Branch
99.4%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.4%	1	`(*.f64 v v)`
99.4%	1	`v`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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
98.5%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
98.5%	1	`(*.f64 v v)`
98.5%	1	`v`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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
98.5%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
98.5%	1	`(*.f64 v v)`
98.5%	1	`v`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify62.0ms (2.1%)

Memory

-1.8MiB live, 44.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	156
1	81	156
2	200	156
3	556	156
4	2136	156
5	7055	156

Stop Event

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

Compiler

Compiled 156 to 52 computations (66.7% saved)

preprocess43.0ms (1.5%)

Memory: -12.7MiB live, 79.7MiB allocated; 13ms collecting garbage
Remove: (abs v)
Compiler: Compiled 602 to 314 computations (47.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.2s (40.4%)

explain226.0ms (7.9%)

preprocess297.0ms (10.4%)

eval0.0ms (0%)

prune1.0ms (0%)

series12.0ms (0.4%)

rewrite85.0ms (3%)

eval11.0ms (0.4%)

prune23.0ms (0.8%)

series23.0ms (0.8%)

rewrite101.0ms (3.5%)

eval86.0ms (3%)

prune16.0ms (0.6%)

series31.0ms (1.1%)

rewrite140.0ms (4.9%)

eval116.0ms (4%)

prune14.0ms (0.5%)

series37.0ms (1.3%)

rewrite186.0ms (6.5%)

eval132.0ms (4.6%)

prune21.0ms (0.7%)

regimes14.0ms (0.5%)

regimes7.0ms (0.2%)

regimes10.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify62.0ms (2.1%)

preprocess43.0ms (1.5%)

end0.0ms (0%)

Profiling