Metrics for Falkner and Boettcher, Equation (22+)

start0.0ms (0%)

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

analyze4.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB 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 22 to 18 computations (18.2% saved)

sample1.2s (17.2%)

Memory

24.6MiB live, 1 606.6MiB allocated; 291ms collecting garbage

Samples

865.0ms	8 256×	0	valid
1.0ms	8×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 642.0ms

ival-mult: 360.0ms (56.1% of total)

ival-sqrt: 83.0ms (12.9% of total)

ival-sub: 76.0ms (11.8% of total)

ival-div: 54.0ms (8.4% of total)

ival-pi: 39.0ms (6.1% of total)

exact: 18.0ms (2.8% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

adjust: 3.0ms (0.5% of total)

Bogosity

explain181.0ms (2.6%)

Memory

30.7MiB live, 401.5MiB allocated; 50ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`#s(literal 3 binary64)`
0	-	-	`(*.f64 v v)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
0	-	-	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
0	-	-	`(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))`
0	-	-	`(*.f64 #s(literal 3 binary64) (PI.f64))`
0	-	-	`#s(literal 6 binary64)`
0	-	-	`v`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))`
1	(9.603954106641808e-163)	-	`(.f64 #s(literal 6 binary64) (.f64 v v))`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`
0	-	-	`(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
0	-	-	`(PI.f64)`

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

61.0ms

512×

valid

Compiler

Compiled 194 to 52 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 19.0ms (44.6% of total)

ival-div: 8.0ms (18.8% of total)

ival-sqrt: 7.0ms (16.4% of total)

ival-sub: 5.0ms (11.7% of total)

ival-pi: 2.0ms (4.7% of total)

exact: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess220.0ms (3.2%)

Memory

-12.3MiB live, 214.8MiB allocated; 98ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	54	37
2	182	36
3	601	36
4	1712	36
5	3242	36
6	4738	36
7	5430	36
8	6897	36
0	16	20
0	26	20
1	51	18
2	143	18
3	424	18
4	1109	18
5	2037	18
6	3007	18
7	4123	18
8	5172	18
9	6774	18
0	8058	16

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs v)

Compiler

Compiled 20 to 16 computations (20% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Status

Accuracy

Program

▶

98.5%

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

Compiler

Compiled 20 to 16 computations (20% saved)

simplify133.0ms (1.9%)

Memory

1.7MiB live, 200.1MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
cost-diff	1	(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
cost-diff	1	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff	2	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
0	26	85
1	51	83
2	143	83
3	424	83
4	1109	83
5	2037	83
6	3007	83
7	4123	83
8	5172	83
9	6774	83
0	8058	76

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
#s(literal 4 binary64)
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
#s(literal 2 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
#s(literal 6 binary64)

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

localize46.0ms (0.7%)

Memory

23.2MiB live, 120.7MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0.02734375	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
accuracy	0.16310502930532603	(.f64 #s(literal 6 binary64) (.f64 v v))
accuracy	0.94921875	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Samples

36.0ms

256×

valid

Compiler

Compiled 87 to 18 computations (79.3% saved)

Precisions

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

ival-mult: 8.0ms (51.9% of total)

ival-div: 2.0ms (13% of total)

ival-sub: 2.0ms (13% of total)

ival-sqrt: 2.0ms (13% of total)

ival-pi: 1.0ms (6.5% of total)

exact: 1.0ms (6.5% of total)

adjust: 0.0ms (0% of total)

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

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

series13.0ms (0.2%)

Memory

-19.3MiB live, 27.4MiB allocated; 6ms collecting garbage

Counts

5 → 33

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(.f64 #s(literal 6 binary64) (.f64 v v))

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
2
(+ 2 (* -6 (pow v 2)))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* 6 (pow v 2))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	v	@	0	((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* 3 (PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* 6 (* v v)))
4.0ms	v	@	inf	((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* 3 (PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* 6 (* v v)))
1.0ms	v	@	-inf	((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* 3 (PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* 6 (* v v)))

Time

Variable

Point

Expression

6.0ms

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

4.0ms

inf

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

1.0ms

-inf

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

simplify299.0ms (4.3%)

Memory

-42.5MiB live, 325.8MiB allocated; 151ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1153
1	719	922
2	3715	805
0	8274	788

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
2
(+ 2 (* -6 (pow v 2)))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* 6 (pow v 2))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 4/3 binary64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(.f64 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 39/16 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 213/32 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 v v) (+.f64 (/.f64 #s(literal 39/16 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #s(literal 4/3 binary64))))
(* 3 (PI))
(*.f64 #s(literal 3 binary64) (PI.f64))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(.f64 (PI.f64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(* 3 (* (PI) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(.f64 (fma.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64)) v) v (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (.f64 (.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64))) v) v (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64))) (.f64 v v) (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v)))
(* 6 (pow v 2))
(.f64 #s(literal 6 binary64) (.f64 v v))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64)))) (PI.f64)) (.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64)))) (PI.f64)) (.f64 v v))) (/.f64 (-.f64 (/.f64 #s(literal 5/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64)))) (PI.f64)) (.f64 v v))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 95/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 5/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))
(* -3 (* (pow v 2) (PI)))
(.f64 (.f64 (*.f64 v v) (PI.f64)) #s(literal -3 binary64))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v)))) v) v)
(* -6 (pow v 2))
(.f64 #s(literal -6 binary64) (.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(.f64 (.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(.f64 (.f64 #s(literal -3 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(.f64 (.f64 #s(literal -3 binary64) (-.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))) (/.f64 (*.f64 #s(literal 11/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(.f64 (.f64 #s(literal -3 binary64) (-.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -6 binary64))) (/.f64 (*.f64 #s(literal 11/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64)))) (PI.f64)) (.f64 v v))) (pow.f64 v #s(literal 3 binary64))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64)))) (PI.f64)) (.f64 v v))) (/.f64 (-.f64 (/.f64 #s(literal 5/144 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 (neg.f64 v) #s(literal 3 binary64)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64)))) (PI.f64)) (.f64 v v))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 95/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 5/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 (neg.f64 v) #s(literal 3 binary64)))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(.f64 (.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 3 binary64)) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(.f64 (fma.f64 (+.f64 (/.f64 (.f64 #s(literal 11/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))) #s(literal -3 binary64) (.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (-.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -6 binary64))) (/.f64 (*.f64 #s(literal 11/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))))))

rewrite180.0ms (2.6%)

Memory

20.6MiB live, 253.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	59
0	26	59
1	97	57
2	622	57
3	6798	57
0	8514	51

Stop Event

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

Counts

5 → 363

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(.f64 #s(literal 6 binary64) (.f64 v v))

Outputs
(.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)) #s(literal 3 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) #s(literal 3 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64))) (.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (PI.f64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 #s(literal -3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))))
(/.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (fma.f64 (neg.f64 v) v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (.f64 #s(literal -3 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (fma.f64 (neg.f64 v) v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64))))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 v #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) (-.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64))
(.f64 (neg.f64 (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64))))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) #s(literal 3 binary64))
(.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (PI.f64) #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64))))
(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (PI.f64) (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (neg.f64 v) v #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (.f64 (PI.f64) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64))))))
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(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (*.f64 (neg.f64 v) v)))
(+.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (.f64 (.f64 (.f64 (neg.f64 v) v) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 v) v) (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 3 binary64)) (fma.f64 v v #s(literal 1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 3 binary64)) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 3 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 (fabs.f64 (.f64 #s(literal -6 binary64) v)) v)
(.f64 (fabs.f64 (.f64 #s(literal 6 binary64) v)) v)
(.f64 (.f64 #s(literal -6 binary64) v) (neg.f64 v))
(.f64 (.f64 #s(literal 6 binary64) v) v)
(.f64 (neg.f64 v) (.f64 #s(literal -6 binary64) v))
(.f64 (.f64 #s(literal 6 binary64) (*.f64 v v)) #s(literal 1 binary64))
(.f64 #s(literal 6 binary64) (.f64 v v))
(.f64 (.f64 v v) #s(literal 6 binary64))
(.f64 v (fabs.f64 (.f64 #s(literal -6 binary64) v)))
(.f64 v (fabs.f64 (.f64 #s(literal 6 binary64) v)))
(.f64 v (.f64 #s(literal 6 binary64) v))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))
(neg.f64 (.f64 #s(literal -6 binary64) (.f64 v v)))
(sqrt.f64 (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))
(fabs.f64 (.f64 #s(literal -6 binary64) (.f64 v v)))
(fabs.f64 (.f64 #s(literal 6 binary64) (.f64 v v)))

eval57.0ms (0.8%)

Memory: -15.8MiB live, 128.1MiB allocated; 20ms collecting garbage
Compiler: Compiled 11 615 to 1 582 computations (86.4% saved)

prune12.0ms (0.2%)

Memory

39.2MiB live, 39.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	388	8	396
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	389	8	397

Accuracy

100.0%

Counts

397 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64))) (fma.f64 v v #s(literal 1 binary64))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
	49.7%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v)))) v) v)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
	98.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
	96.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
▶	97.5%	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (fma.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))))
▶	97.9%	(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶	96.4%	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))

Compiler

Compiled 426 to 334 computations (21.6% saved)

simplify168.0ms (2.4%)

Memory

-25.1MiB live, 205.0MiB allocated; 51ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (fma.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64)))
cost-diff	0	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (fma.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))))
cost-diff	2	(fma.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
cost-diff	0	(*.f64 #s(literal 3 binary64) (PI.f64))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	1	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff	1	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 v v #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))
cost-diff	0	(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
cost-diff	0	(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
cost-diff	0	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)))
cost-diff	0	(/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))
cost-diff	2	(/.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64))) (fma.f64 v v #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	443
0	92	440
1	163	432
2	397	430
3	1225	430
4	4403	430
0	8244	422

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (2.4%)

Memory

33.0MiB live, 270.1MiB allocated; 37ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
accuracy	0.0078125	(.f64 (fma.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
accuracy	0.6735456881976104	#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (fma.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64)))
accuracy	0.94921875	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (fma.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))))
accuracy	0.015625	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.01953125	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0.02734375	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.94921875	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	0.0078125	(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy	0.01171875	(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy	0.015625	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.03515625	(*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.0	(PI.f64)
accuracy	1.0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy	1.3684316377378654	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
accuracy	0.0234375	(/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))
accuracy	0.94921875	(/.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64))) (fma.f64 v v #s(literal 1 binary64))))
accuracy	0.96484375	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))
accuracy	0.97265625	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)))

Samples

126.0ms

256×

valid

Compiler

Compiled 421 to 52 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 49.0ms (48.3% of total)

ival-div: 25.0ms (24.6% of total)

ival-sqrt: 8.0ms (7.9% of total)

ival-add: 5.0ms (4.9% of total)

ival-sub: 5.0ms (4.9% of total)

const: 4.0ms (3.9% of total)

ival-pow: 3.0ms (3% of total)

ival-pi: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series25.0ms (0.4%)

Memory

-12.9MiB live, 38.5MiB allocated; 17ms collecting garbage

Counts

23 → 98

Calls

Call 1

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

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2)))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2))))))))))
(* 3 (sqrt 2))
(+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2)))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 9 (/ 1 (sqrt 2))))))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -81/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 27/2 (/ 1 (pow (sqrt 2) 3))))) (* 9 (/ 1 (sqrt 2))))))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* (pow v 2) (PI)))
1
(+ 1 (pow v 2))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(+ (* -1 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))) (* (PI) (sqrt 2)))
(+ (* -3 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))) (* 3 (* (PI) (sqrt 2))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -3 (* (pow v 5) (* (PI) (sqrt -6))))
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6))))))
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))))
(* 3 (* v (sqrt -6)))
(* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -1 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))))
(* (pow v 2) (+ (* -1 (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (/ (* (PI) (sqrt 2)) (pow v 2))))
(* -3 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))))
(* (pow v 2) (+ (* -3 (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 3 (/ (* (PI) (sqrt 2)) (pow v 2)))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(* 3 (* (pow v 5) (* (PI) (sqrt -6))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))))
(* -3 (* v (sqrt -6)))
(* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	v	@	0	((/ 4 (/ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (* (- 1 (pow v 4)) (PI))) (+ (* v v) 1))) (/ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (* (- 1 (pow v 4)) (PI))) (+ (* v v) 1)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (* (- 1 (pow v 4)) (PI))) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (sqrt 1/2) (PI)) 4/3) (/ (sqrt 1/2) (PI)) (sqrt 1/2) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2)))) (* (* 3 (PI)) (- 1 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) (* 3 (PI)) (+ (* (* (PI) (- (/ -3 (sqrt 2)) (sqrt 2))) (* v v)) (* (sqrt 2) (PI))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (+ (* (* (PI) (- (/ -3 (sqrt 2)) (sqrt 2))) (* v v)) (* (sqrt 2) (PI))) 3) (PI) (sqrt (+ (* -6 (* v v)) 2)) (sqrt (+ (* (* v v) -6) 2)))
6.0ms	v	@	inf	((/ 4 (/ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (* (- 1 (pow v 4)) (PI))) (+ (* v v) 1))) (/ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (* (- 1 (pow v 4)) (PI))) (+ (* v v) 1)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (* (- 1 (pow v 4)) (PI))) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (sqrt 1/2) (PI)) 4/3) (/ (sqrt 1/2) (PI)) (sqrt 1/2) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2)))) (* (* 3 (PI)) (- 1 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) (* 3 (PI)) (+ (* (* (PI) (- (/ -3 (sqrt 2)) (sqrt 2))) (* v v)) (* (sqrt 2) (PI))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (+ (* (* (PI) (- (/ -3 (sqrt 2)) (sqrt 2))) (* v v)) (* (sqrt 2) (PI))) 3) (PI) (sqrt (+ (* -6 (* v v)) 2)) (sqrt (+ (* (* v v) -6) 2)))
4.0ms	v	@	-inf	((/ 4 (/ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (* (- 1 (pow v 4)) (PI))) (+ (* v v) 1))) (/ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (* (- 1 (pow v 4)) (PI))) (+ (* v v) 1)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (* (- 1 (pow v 4)) (PI))) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (sqrt 1/2) (PI)) 4/3) (/ (sqrt 1/2) (PI)) (sqrt 1/2) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2)))) (* (* 3 (PI)) (- 1 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) (* 3 (PI)) (+ (* (* (PI) (- (/ -3 (sqrt 2)) (sqrt 2))) (* v v)) (* (sqrt 2) (PI))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (+ (* (* (PI) (- (/ -3 (sqrt 2)) (sqrt 2))) (* v v)) (* (sqrt 2) (PI))) 3) (PI) (sqrt (+ (* -6 (* v v)) 2)) (sqrt (+ (* (* v v) -6) 2)))

Time

Variable

Point

Expression

13.0ms

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

6.0ms

inf

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

4.0ms

-inf

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

simplify186.0ms (2.7%)

Memory

-3.1MiB live, 271.2MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	3179
1	1601	2693
2	7984	2581
0	8684	2472

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 98

Calls

Call 1

Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2)))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2))))))))))
(* 3 (sqrt 2))
(+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2)))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 9 (/ 1 (sqrt 2))))))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -81/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 27/2 (/ 1 (pow (sqrt 2) 3))))) (* 9 (/ 1 (sqrt 2))))))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* (pow v 2) (PI)))
1
(+ 1 (pow v 2))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(+ (* -1 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))) (* (PI) (sqrt 2)))
(+ (* -3 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))) (* 3 (* (PI) (sqrt 2))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -3 (* (pow v 5) (* (PI) (sqrt -6))))
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6))))))
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))))
(* 3 (* v (sqrt -6)))
(* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -1 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))))
(* (pow v 2) (+ (* -1 (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (/ (* (PI) (sqrt 2)) (pow v 2))))
(* -3 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))))
(* (pow v 2) (+ (* -3 (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 3 (/ (* (PI) (sqrt 2)) (pow v 2)))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(* 3 (* (pow v 5) (* (PI) (sqrt -6))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))))
(* -3 (* v (sqrt -6)))
(* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 4/3 binary64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(fma.f64 (.f64 (.f64 v v) #s(literal 4/3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 39/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 4/3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 213/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 v v) (+.f64 (/.f64 #s(literal 39/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))) (.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(* 3 (* (PI) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
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(.f64 (neg.f64 v) (-.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(/.f64 (.f64 #s(literal -4/3 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(/.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 (neg.f64 v) #s(literal 3 binary64)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(/.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -59/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 v v))) #s(literal 4/3 binary64) (.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 (neg.f64 v) #s(literal 3 binary64)))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(.f64 (.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (-.f64 (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) (pow.f64 v #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))))
(* -1 (* v (sqrt -6)))
(*.f64 (neg.f64 v) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(.f64 (neg.f64 v) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (neg.f64 v) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 (neg.f64 v) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))))

rewrite273.0ms (3.9%)

Memory

16.0MiB live, 449.5MiB allocated; 95ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	328
0	92	335
1	303	305
2	1821	301
0	8593	297

Stop Event

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

Counts

23 → 817

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 (PI.f64)))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (PI.f64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 3 binary64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (+.f64 (neg.f64 v) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (neg.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (+.f64 v #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (neg.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 (neg.f64 v) v #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))))
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(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 216 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 v v) #s(literal -12 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))) (sqrt.f64 (-.f64 (.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 216 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal 12 binary64) (*.f64 v v))) #s(literal 4 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (*.f64 v v) #s(literal -12 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 v v) #s(literal -12 binary64))))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64))))

eval178.0ms (2.6%)

Memory: -19.5MiB live, 353.9MiB allocated; 30ms collecting garbage
Compiler: Compiled 38 973 to 4 313 computations (88.9% saved)

prune64.0ms (0.9%)

Memory

-8.6MiB live, 59.1MiB allocated; 6ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	994	7	1 001
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 000	9	1 009

Accuracy

100.0%

Counts

1 009 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
▶	49.7%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v)))) v) v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
▶	96.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
	96.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
	98.0%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶	97.9%	(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
▶	100.0%	(.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))))
✓	96.4%	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))

Compiler

Compiled 409 to 333 computations (18.6% saved)

simplify148.0ms (2.1%)

Memory

23.7MiB live, 155.4MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v)))) v) v)
cost-diff	0	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v)))) v) v))
cost-diff	0	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v)))) v) v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v)))) v) v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff	0	(.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))
cost-diff	0	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64))))
cost-diff	0	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff	0	(*.f64 (PI.f64) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
cost-diff	0	#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
cost-diff	0	(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
cost-diff	0	(fma.f64 v v #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))))
cost-diff	0	(.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	498
0	84	496
1	151	496
2	376	496
3	1244	487
4	3781	487
5	7490	487
0	8409	487

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (2.8%)

Memory

-23.1MiB live, 226.0MiB allocated; 26ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v))))
accuracy	0.37888873231904147	(.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v)))) v) v)
accuracy	0.94921875	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v)))) v) v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	30.447340881232936	(.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 v v)))) v)
accuracy	0.015625	(.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))
accuracy	0.015625	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.02734375	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.94921875	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	0.015625	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.02734375	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.94921875	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	1.2933702144793613	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(PI.f64)
accuracy	0.01171875	(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
accuracy	1.2482744549418046	#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
accuracy	0.01171875	(.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))))
accuracy	0.015625	(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
accuracy	0.015625	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.0390625	(/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))))

Samples

123.0ms

256×

valid

Compiler

Compiled 433 to 45 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 27.0ms (29% of total)

const: 25.0ms (26.8% of total)

ival-add: 20.0ms (21.5% of total)

ival-div: 6.0ms (6.4% of total)

ival-sqrt: 5.0ms (5.4% of total)

ival-pow: 5.0ms (5.4% of total)

ival-sub: 4.0ms (4.3% of total)

ival-pi: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series16.0ms (0.2%)

Memory

32.7MiB live, 32.7MiB allocated; 0ms collecting garbage

Counts

24 → 97

Calls

Call 1

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

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(/ (sqrt 1/2) (PI))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI)))
1
(+ 1 (pow v 2))
(* (PI) (sqrt 2))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 3 (/ (PI) (sqrt 2)))))))))))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* 3 (/ (PI) v))
(/ (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI))) v)
(* 3 (/ (PI) (pow v 2)))
(/ (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI))) (pow v 2))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -1 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* -1 (* (pow v 5) (* (PI) (sqrt -6))))
(* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (PI) (* (pow v 2) (sqrt -6))))))
(* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (/ (* (PI) (sqrt -6)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 6) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 4))))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -3 (* v (PI)))
(* v (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -3 (PI))
(+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(/ (sqrt -1/6) (* (pow v 3) (PI)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)))
(* (pow v 5) (* (PI) (sqrt -6)))
(* -1 (* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (/ (* (PI) (sqrt -6)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 6) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 4)))))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -1 (* v (+ (* -3 (/ (PI) (pow v 2))) (* 3 (PI)))))

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

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

4.0ms

inf

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

3.0ms

-inf

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

simplify161.0ms (2.3%)

Memory

8.1MiB live, 235.1MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	3566
1	1625	2875
0	8418	2768

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 97

Calls

Call 1

Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(/ (sqrt 1/2) (PI))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI)))
1
(+ 1 (pow v 2))
(* (PI) (sqrt 2))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 3 (/ (PI) (sqrt 2)))))))))))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* 3 (/ (PI) v))
(/ (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI))) v)
(* 3 (/ (PI) (pow v 2)))
(/ (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI))) (pow v 2))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -1 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* -1 (* (pow v 5) (* (PI) (sqrt -6))))
(* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (PI) (* (pow v 2) (sqrt -6))))))
(* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (/ (* (PI) (sqrt -6)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 6) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 4))))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -3 (* v (PI)))
(* v (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -3 (PI))
(+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(/ (sqrt -1/6) (* (pow v 3) (PI)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)))
(* (pow v 5) (* (PI) (sqrt -6)))
(* -1 (* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (/ (* (PI) (sqrt -6)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 6) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 4)))))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -1 (* v (+ (* -3 (/ (PI) (pow v 2))) (* 3 (PI)))))

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(.f64 (fma.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal -3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 4/3 binary64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(fma.f64 (.f64 (.f64 v v) #s(literal 4/3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 39/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal -3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 4/3 binary64)) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 159/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal -27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 v v) (+.f64 (/.f64 #s(literal 39/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(/ (sqrt 1/2) (PI))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI)))
(fma.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal -3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI)))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 39/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal -3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 159/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal -27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 v v) (+.f64 (/.f64 #s(literal 39/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal -3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (pow v 2))
(fma.f64 v v #s(literal 1 binary64))
(* (PI) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(fma.f64 (.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
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(* -1 (* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (/ (* (PI) (sqrt -6)) (pow v 4)))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (-.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))
(* -1 (* (pow v 5) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 6) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 4)))))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (-.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(/.f64 (.f64 #s(literal -4/3 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(/.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (neg.f64 (pow.f64 v #s(literal 3 binary64))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(/.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal 13/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 v v))) #s(literal 4/3 binary64) (.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))))) (neg.f64 (pow.f64 v #s(literal 3 binary64))))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(.f64 (.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (PI.f64) v) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (PI.f64) v) (/.f64 (+.f64 (/.f64 (/.f64 (PI.f64) v) v) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (PI.f64) v) (/.f64 (+.f64 (/.f64 (/.f64 (PI.f64) v) v) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(.f64 (.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 3 binary64)) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (.f64 #s(literal -3 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (.f64 #s(literal 3 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -6 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))))))
(* -1 (* v (sqrt -6)))
(*.f64 (neg.f64 v) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(.f64 (neg.f64 v) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (neg.f64 v) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 (neg.f64 v) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (+ (* -3 (/ (PI) (pow v 2))) (* 3 (PI)))))
(.f64 (neg.f64 v) (.f64 #s(literal -3 binary64) (-.f64 (/.f64 (/.f64 (PI.f64) v) v) (PI.f64))))

rewrite252.0ms (3.6%)

Memory

-30.4MiB live, 329.7MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	377
0	84	375
1	277	375
2	1620	375
0	8231	375

Stop Event

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

Counts

24 → 406

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64))))
(.f64 (/.f64 (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 4/3 binary64))
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(pow.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 1/2 binary64))
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(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 v v) #s(literal -12 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 v v) #s(literal -12 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))) (sqrt.f64 (-.f64 (.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (*.f64 v v) #s(literal -12 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 v v) #s(literal -12 binary64))))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64))) (-.f64 (.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) (.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(.f64 (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 v v))) v) #s(literal -3 binary64))
(.f64 (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 v v))) #s(literal -3 binary64)) v)
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v))) (*.f64 #s(literal -3 binary64) v))
(.f64 (.f64 #s(literal -3 binary64) v) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 v v))))
(.f64 #s(literal -3 binary64) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 v v))) v))
(.f64 v (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 v v))) #s(literal -3 binary64)))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v))) #s(literal -3 binary64))
(.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (.f64 v v)) #s(literal 2 binary64))) #s(literal -3 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) (.f64 v v)) (PI.f64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (.f64 v v)) #s(literal 3 binary64))) #s(literal -3 binary64))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (/.f64 (fma.f64 (PI.f64) (PI.f64) (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64))) (*.f64 v v)))))
(/.f64 (neg.f64 (.f64 #s(literal -3 binary64) (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (.f64 v v)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (PI.f64) (.f64 v v)) (PI.f64))))
(/.f64 (neg.f64 (.f64 #s(literal -3 binary64) (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (.f64 v v)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (/.f64 (fma.f64 (PI.f64) (PI.f64) (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64))) (*.f64 v v)))))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (.f64 v v)) #s(literal 2 binary64))) #s(literal -3 binary64)) (+.f64 (/.f64 (PI.f64) (.f64 v v)) (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (.f64 v v)) #s(literal 3 binary64))) #s(literal -3 binary64)) (fma.f64 (PI.f64) (PI.f64) (/.f64 (fma.f64 (PI.f64) (PI.f64) (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64))) (*.f64 v v))))
(/.f64 (.f64 #s(literal -3 binary64) (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (.f64 v v)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) (.f64 v v)) (PI.f64)))
(/.f64 (.f64 #s(literal -3 binary64) (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (.f64 v v)) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (PI.f64) (/.f64 (fma.f64 (PI.f64) (PI.f64) (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64))) (*.f64 v v))))

eval134.0ms (1.9%)

Memory: 7.8MiB live, 238.9MiB allocated; 22ms collecting garbage
Compiler: Compiled 31 968 to 3 766 computations (88.2% saved)

prune19.0ms (0.3%)

Memory

15.7MiB live, 60.1MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	819	2	821
Fresh	0	3	3
Picked	1	4	5
Done	0	1	1
Total	820	10	830

Accuracy

100.0%

Counts

830 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
▶	96.5%	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
✓	49.7%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 v v)))) v) v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
▶	96.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
▶	98.0%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓	97.9%	(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
✓	100.0%	(.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))))
✓	96.4%	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))

Compiler

Compiled 349 to 290 computations (16.9% saved)

simplify115.0ms (1.7%)

Memory

-36.5MiB live, 110.5MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 3 binary64) (PI.f64))
cost-diff	0	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
cost-diff	0	(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))
cost-diff	0	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
cost-diff	0	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
cost-diff	0	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
cost-diff	0	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
cost-diff	1	(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
cost-diff	0	(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))
cost-diff	0	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
cost-diff	0	(PI.f64)
cost-diff	0	#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
cost-diff	0	(.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
cost-diff	0	(*.f64 v v)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 v v))
cost-diff	1	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff	2	(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	393
0	74	389
1	126	389
2	248	387
3	604	387
4	1455	387
5	2374	387
6	2961	387
7	3969	387
8	4743	387
9	6521	387
0	8012	373

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (2.7%)

Memory

6.1MiB live, 208.0MiB allocated; 24ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
accuracy	0.015625	(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
accuracy	0.01953125	(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))
accuracy	1.2933702144793613	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
accuracy	0.02734375	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
accuracy	0.16310502930532603	(.f64 #s(literal 6 binary64) (.f64 v v))
accuracy	0.94921875	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
accuracy	1.2933702144793613	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
accuracy	0.015625	(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
accuracy	0.02734375	(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))
accuracy	0.94921875	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
accuracy	1.2933702144793613	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
accuracy	0.0078125	(.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy	0.01171875	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy	0.015625	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	1.317249877104918	#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
accuracy	0.015625	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.0234375	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	0.03125	(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.94921875	(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))

Samples

123.0ms

256×

valid

Compiler

Compiled 369 to 42 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-sqrt: 53.0ms (52.7% of total)

ival-mult: 22.0ms (21.9% of total)

ival-div: 13.0ms (12.9% of total)

ival-add: 5.0ms (5% of total)

const: 4.0ms (4% of total)

ival-sub: 2.0ms (2% of total)

ival-pi: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series11.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Counts

23 → 94

Calls

Call 1

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

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
1
(+ 1 (* -1 (pow v 2)))
(pow v 2)
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* (pow v 2) (PI)))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
2
(+ 2 (* -6 (pow v 2)))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(/ 4/3 (PI))
(+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))
(+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))
(+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* 6 (pow v 2))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(/ -4/3 (* (pow v 2) (PI)))
(* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))
(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2))) (* 4/3 (/ 1 (PI)))) (pow v 2))
(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 4))) (+ (* 4/3 (/ 1 (PI))) (/ 4/3 (* (pow v 2) (PI))))) (pow v 2))
(* 3 (* v (* (PI) (sqrt -6))))
(* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -3 (* v (* (PI) (sqrt -6))))
(* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

3.0ms

inf

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

2.0ms

-inf

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

simplify317.0ms (4.6%)

Memory

-14.3MiB live, 348.0MiB allocated; 119ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	2914
1	1489	2436
2	7606	2326
0	8364	2226

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 94

Calls

Call 1

Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
1
(+ 1 (* -1 (pow v 2)))
(pow v 2)
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* (pow v 2) (PI)))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
2
(+ 2 (* -6 (pow v 2)))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(/ 4/3 (PI))
(+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))
(+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))
(+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* 6 (pow v 2))
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(/ -4/3 (* (pow v 2) (PI)))
(* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2)))
(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2))) (* 4/3 (/ 1 (PI)))) (pow v 2))
(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 4))) (+ (* 4/3 (/ 1 (PI))) (/ 4/3 (* (pow v 2) (PI))))) (pow v 2))
(* 3 (* v (* (PI) (sqrt -6))))
(* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -3 (* v (* (PI) (sqrt -6))))
(* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 4/3 binary64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(fma.f64 (.f64 (.f64 v v) #s(literal 4/3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 39/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 4/3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 213/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 v v) (+.f64 (/.f64 #s(literal 39/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))) (.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(* 3 (* (PI) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(.f64 (fma.f64 (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (PI.f64) (/.f64 (.f64 #s(literal -27/2 binary64) (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) v) v (fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (.f64 #s(literal -9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64)))) (.f64 v v) (/.f64 (fma.f64 #s(literal 9 binary64) (PI.f64) (/.f64 (.f64 #s(literal -27/2 binary64) (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (.f64 #s(literal -9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 v v)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(fma.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)) (.f64 v v) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(fma.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 4/3 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 15/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))) (.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (* 4/3 (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 4/3 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 105/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) v) v (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 15/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))) (.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(* (PI) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(fma.f64 (.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
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(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 2))) (* 4/3 (/ 1 (PI)))) (pow v 2))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (.f64 v v)) #s(literal 4/3 binary64)) (.f64 (.f64 v v) (PI.f64))) #s(literal -1 binary64) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (.f64 v v))
(/ (- (* -1 (/ (+ (* 4/3 (/ 1 (PI))) (* 4/3 (/ 1 (* (pow v 2) (PI))))) (pow v 4))) (+ (* 4/3 (/ 1 (PI))) (/ 4/3 (* (pow v 2) (PI))))) (pow v 2))
(/.f64 (-.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (.f64 v v)) #s(literal 4/3 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (.f64 v v)) #s(literal 4/3 binary64)) (PI.f64))) (*.f64 v v))
(* 3 (* v (* (PI) (sqrt -6))))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal 3 binary64)) v)
(* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))
(.f64 (.f64 #s(literal 3 binary64) v) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 3 binary64))) v)
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))
(.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 3 binary64)))) v)
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64)))) (PI.f64)) (.f64 v v)))) (pow.f64 (neg.f64 v) #s(literal 3 binary64)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal 5/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 4 binary64))) #s(literal 4/3 binary64) (.f64 #s(literal -4/3 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64)))) (PI.f64)) (*.f64 v v))))) (pow.f64 (neg.f64 v) #s(literal 3 binary64)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(/.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal 95/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal 5/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 4/3 binary64) (.f64 #s(literal -4/3 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64)))) (PI.f64)) (.f64 v v))))) (pow.f64 (neg.f64 v) #s(literal 3 binary64)))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(.f64 (.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 3 binary64)) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))
(.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (.f64 #s(literal 3 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -6 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(/.f64 (.f64 #s(literal -4/3 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(/.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 (neg.f64 v) #s(literal 3 binary64)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(/.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -59/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 v v))) #s(literal 4/3 binary64) (.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 (neg.f64 v) #s(literal 3 binary64)))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(.f64 (.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (sqrt.f64 #s(literal -6 binary64))) (PI.f64))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (-.f64 (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) (pow.f64 v #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))))
(* -1 (* v (sqrt -6)))
(*.f64 (neg.f64 v) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(.f64 (neg.f64 v) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (neg.f64 v) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 (neg.f64 v) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))))
(* -3 (* v (* (PI) (sqrt -6))))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) (PI.f64)) #s(literal -3 binary64))
(* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(.f64 (.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))
(.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 3 binary64))))
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))
(.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 3 binary64)))))

rewrite272.0ms (3.9%)

Memory

12.2MiB live, 431.5MiB allocated; 149ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	284
0	74	281
1	233	281
2	1066	281
0	9252	268

Stop Event

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

Counts

23 → 720

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (PI.f64))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) #s(literal 3 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) (PI.f64)))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 3 binary64)) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64)))) (PI.f64)) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) (.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64)))) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 3 binary64) (PI.f64))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (PI.f64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64))) (neg.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (PI.f64))))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (PI.f64)))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal 1 binary64))) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (PI.f64))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (PI.f64))) (fma.f64 v v #s(literal 1 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 3 binary64)) (PI.f64))
(.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (PI.f64)) #s(literal 3 binary64))
(.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 v v #s(literal 1 binary64))) (PI.f64)) (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 v v #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64))) (PI.f64))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64))) #s(literal 3 binary64))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))) (PI.f64))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (neg.f64 (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 (neg.f64 (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))) (.f64 #s(literal 3 binary64) (PI.f64)))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (PI.f64)))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) (.f64 #s(literal 3 binary64) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (fma.f64 v v #s(literal -1 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 v v #s(literal 1 binary64))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 3 binary64) (fma.f64 v v #s(literal 1 binary64))) (PI.f64)))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 (.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (fma.f64 v v #s(literal 1 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))
(.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (PI.f64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 v v #s(literal 1 binary64))) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal -36 binary64) (pow.f64 v #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 v v #s(literal 1 binary64))) (PI.f64)) (sqrt.f64 (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 (.f64 #s(literal -6 binary64) v) v) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 v v #s(literal 1 binary64))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (PI.f64))) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (PI.f64))) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64)))) (-.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 3 binary64)) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))
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(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal -36 binary64) (pow.f64 v #s(literal 4 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (.f64 (*.f64 #s(literal -6 binary64) v) v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -4 binary64) (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (.f64 (*.f64 #s(literal -6 binary64) v) v) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal -36 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))) (sqrt.f64 (-.f64 (.f64 (*.f64 #s(literal -6 binary64) v) v) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 (.f64 #s(literal -6 binary64) v)) v)
(.f64 (fabs.f64 (.f64 #s(literal 6 binary64) v)) v)
(.f64 (.f64 #s(literal 6 binary64) v) v)
(.f64 (.f64 (neg.f64 v) v) #s(literal -6 binary64))
(.f64 (neg.f64 v) (.f64 #s(literal -6 binary64) v))
(.f64 (.f64 #s(literal 6 binary64) (*.f64 v v)) #s(literal 1 binary64))
(.f64 #s(literal 6 binary64) (.f64 v v))
(.f64 (.f64 #s(literal -6 binary64) v) (neg.f64 v))
(.f64 #s(literal -6 binary64) (.f64 (neg.f64 v) v))
(.f64 (.f64 v v) #s(literal 6 binary64))
(.f64 v (fabs.f64 (.f64 #s(literal -6 binary64) v)))
(.f64 v (fabs.f64 (.f64 #s(literal 6 binary64) v)))
(.f64 v (.f64 #s(literal 6 binary64) v))
(neg.f64 (.f64 (.f64 #s(literal -6 binary64) v) v))
(sqrt.f64 (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))
(fabs.f64 (.f64 (.f64 #s(literal -6 binary64) v) v))
(fabs.f64 (.f64 #s(literal 6 binary64) (.f64 v v)))

eval181.0ms (2.6%)

Memory: 43.6MiB live, 416.0MiB allocated; 33ms collecting garbage
Compiler: Compiled 36 741 to 3 949 computations (89.3% saved)

prune33.0ms (0.5%)

Memory

-28.7MiB live, 116.6MiB allocated; 12ms collecting garbage

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 145	3	1 148
Fresh	0	0	0
Picked	1	4	5
Done	1	4	5
Total	1 147	11	1 158

Accuracy

100.0%

Counts

1 158 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
	98.9%	(/.f64 #s(approx (/ 4 (* (* 3 (PI)) (- 1 (* v v)))) (/.f64 (fma.f64 (.f64 v v) #s(literal 4/3 binary64) #s(literal 4/3 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))
	100.0%	(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
✓	96.5%	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
✓	96.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
✓	98.0%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓	97.9%	(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
✓	100.0%	(.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))))
✓	96.4%	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))

Compiler

Compiled 765 to 344 computations (55% saved)

regimes21.0ms (0.3%)

Memory

33.4MiB live, 80.5MiB allocated; 1ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

5.0ms	v
5.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
4.0ms	(*.f64 v v)
4.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 v v)`
100.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
100.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
100.0%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes20.0ms (0.3%)

Memory

2.0MiB live, 49.0MiB allocated; 2ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

6.0ms	v
4.0ms	(*.f64 v v)
4.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
4.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 v v)`
100.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
100.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
100.0%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes33.0ms (0.5%)

Memory

-41.6MiB live, 26.4MiB allocated; 14ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

22.0ms	v
3.0ms	(*.f64 v v)
3.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
3.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f64 v v)`
98.9%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
98.9%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
98.9%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes32.0ms (0.5%)

Memory

-21.9MiB live, 25.5MiB allocated; 2ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

3.0ms	v
2.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
2.0ms	(*.f64 v v)
2.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f64 v v)`
98.5%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
98.5%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
98.5%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes10.0ms (0.1%)

Memory

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

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
2.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

Accuracy	Segments	Branch
98.0%	1	`(*.f64 v v)`
98.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
98.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
98.0%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes9.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
2.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

Accuracy	Segments	Branch
98.0%	1	`(*.f64 v v)`
98.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
98.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
98.0%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes47.0ms (0.7%)

Memory

-30.5MiB live, 14.7MiB allocated; 4ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

44.0ms	v
1.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
1.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
97.9%	1	`(*.f64 v v)`
97.9%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
97.9%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
97.9%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	(*.f64 v v)
1.0ms	v
1.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
1.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))

Results

Accuracy	Segments	Branch
96.4%	1	`(*.f64 v v)`
96.4%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
96.4%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
96.4%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

simplify94.0ms (1.3%)

Memory

-2.1MiB live, 41.4MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	191
1	114	191
2	257	191
3	672	191
4	1628	191
5	2984	191
6	4201	191
7	5184	191
8	5732	191
9	6896	191
10	7176	191
11	7563	191

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.2s (16.8%)

Memory

7.3MiB live, 1 049.5MiB allocated; 238ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	377
0	84	375
1	277	375
2	1620	375
0	8231	375
0	200	1153
1	719	922
2	3715	805
0	8274	788
0	55	328
0	92	335
1	303	305
2	1821	301
0	8593	297
0	407	2914
1	1489	2436
2	7606	2326
0	8364	2226
0	43	284
0	74	281
1	233	281
2	1066	281
0	9252	268
0	434	3179
1	1601	2693
2	7984	2581
0	8684	2472
0	16	59
0	26	59
1	97	57
2	622	57
3	6798	57
0	8514	51

Stop Event

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

Compiler

Compiled 191 to 78 computations (59.2% saved)

preprocess68.0ms (1%)

Memory: 11.1MiB live, 100.3MiB allocated; 9ms collecting garbage
Remove: (abs v)
Compiler: Compiled 470 to 224 computations (52.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.2s (17.2%)

explain181.0ms (2.6%)

preprocess220.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify133.0ms (1.9%)

localize46.0ms (0.7%)

series13.0ms (0.2%)

simplify299.0ms (4.3%)

rewrite180.0ms (2.6%)

eval57.0ms (0.8%)

prune12.0ms (0.2%)

simplify168.0ms (2.4%)

localize169.0ms (2.4%)

series25.0ms (0.4%)

simplify186.0ms (2.7%)

rewrite273.0ms (3.9%)

eval178.0ms (2.6%)

prune64.0ms (0.9%)

simplify148.0ms (2.1%)

localize192.0ms (2.8%)

series16.0ms (0.2%)

simplify161.0ms (2.3%)

rewrite252.0ms (3.6%)

eval134.0ms (1.9%)

prune19.0ms (0.3%)

simplify115.0ms (1.7%)

localize185.0ms (2.7%)

series11.0ms (0.2%)

simplify317.0ms (4.6%)

rewrite272.0ms (3.9%)

eval181.0ms (2.6%)

prune33.0ms (0.5%)

regimes21.0ms (0.3%)

regimes20.0ms (0.3%)

regimes33.0ms (0.5%)

regimes32.0ms (0.5%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes47.0ms (0.7%)

regimes4.0ms (0.1%)

simplify94.0ms (1.3%)

derivations1.2s (16.8%)

preprocess68.0ms (1%)

end0.0ms (0%)

Profiling